chore: add .mailmap to normalize git identity

- Replace package.xml with Kindred-extended manifest (priority 40, sdk dependency)
- Add Init.py: console bootstrap with sys.path setup for pygears/namespace package
- Add InitGui.py: workbench import + gear command injection into PartDesign contexts

.github/workflows/pylint.yml

@@ -0,0 +1,28 @@
+name: Pylint
+
+on:
+  push:
+  pull_request:
+  workflow_dispatch:
+
+jobs:
+  build:    
+    strategy:
+      fail-fast: false
+      matrix:
+        os: [macOs-latest, ubuntu-latest, windows-latest]
+    runs-on: ${{ matrix.os }}
+    steps:
+    - uses: actions/checkout@v4
+    - uses: prefix-dev/setup-pixi@v0.9.4
+      with:
+        pixi-version: v0.63.2
+        cache: false
+    - run: pixi run lint || true
+    - run: pixi run test
+    - name: Install xvfb (Linux)
+      if: matrix.os == 'ubuntu-latest'
+      run: sudo apt-get update && sudo apt-get install -y xvfb xauth
+    - name: Visual tests (Linux)
+      if: matrix.os == 'ubuntu-latest'
+      run: pixi run test-visual-xvfb

.github/workflows/update-references.yml

@@ -0,0 +1,38 @@
+# Manuell ausführen: Referenzbilder auf CI-Umgebung neu erzeugen und committen.
+# So passen die Referenzen zur CI-Umgebung (FreeCAD/Python auf ubuntu-latest).
+name: Update reference images
+
+on:
+  workflow_dispatch:
+
+permissions:
+  contents: write
+
+jobs:
+  update-references:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+
+      - name: Install pixi
+        uses: prefix-dev/setup-pixi@v0.9.4
+        with:
+          pixi-version: v0.63.2
+          cache: true
+
+      - name: Install dependencies
+        run: pixi install
+
+      - name: Install xvfb
+        run: sudo apt-get update && sudo apt-get install -y xvfb xauth
+
+      - name: Generate reference images (update)
+        run: pixi run create-references-xvfb
+
+      - name: Commit and push reference images
+        run: |
+          git config user.name "github-actions[bot]"
+          git config user.email "github-actions[bot]@users.noreply.github.com"
+          git add tests/data/*/references/
+          git diff --staged --quiet || git commit -m "chore: update reference images from CI [update-references workflow]"
+          git push

.gitignore

@@ -40,6 +40,12 @@ htmlcov/
 nosetests.xml
 coverage.xml
 
+# Visual test artifacts (references are versioned)
+tests/data/*/artifacts/
+
+# Pytest exit status (used by xvfb wrapper)
+.pytest_exitstatus
+
 # Translations
 *.mo
 *.pot
@@ -53,9 +59,13 @@ docs/_build/
 # PyBuilder
 target/
 
-#costum
+#custom
 *.kdev4
 *.lyx~
 .ipynb_checkpoints/
 results/
 *.vtk
+
+# pixi environments
+.pixi
+*.egg-info

.mailmap

@@ -0,0 +1,7 @@
+forbes <contact@kindred-systems.com> forbes <joseph.forbes@kindred-systems.com>
+forbes <contact@kindred-systems.com> forbes <zoe.forbes@kindred-systems.com>
+forbes <contact@kindred-systems.com> forbes-0023 <joseph.forbes@kindred-systems.com>
+forbes <contact@kindred-systems.com> forbes-0023 <zoe.forbes@kindred-systems.com>
+forbes <contact@kindred-systems.com> josephforbes23 <joseph.forbes@kindred-systems.com>
+forbes <contact@kindred-systems.com> Zoe Forbes <forbes@copernicus-9.kindred.internal>
+forbes <contact@kindred-systems.com> admin <admin@kindred-systems.com>

LICENSE

@@ -1,281 +1,622 @@
-GNU GENERAL PUBLIC LICENSE
+                    GNU GENERAL PUBLIC LICENSE
-                       Version 2, June 1991
+                       Version 3, 29 June 2007
 
- Copyright (C) 1989, 1991 Free Software Foundation, Inc., <http://fsf.org/>
+ Copyright (C) 2007 Free Software Foundation, Inc. <https://fsf.org/>
- 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
  Everyone is permitted to copy and distribute verbatim copies
  of this license document, but changing it is not allowed.
 
                             Preamble
 
-  The licenses for most software are designed to take away your
+  The GNU General Public License is a free, copyleft license for
-freedom to share and change it.  By contrast, the GNU General Public
+software and other kinds of works.
-License is intended to guarantee your freedom to share and change free
+
-software--to make sure the software is free for all its users.  This
+  The licenses for most software and other practical works are designed
-General Public License applies to most of the Free Software
+to take away your freedom to share and change the works.  By contrast,
-Foundation's software and to any other program whose authors commit to
+the GNU General Public License is intended to guarantee your freedom to
-using it.  (Some other Free Software Foundation software is covered by
+share and change all versions of a program--to make sure it remains free
-the GNU Lesser General Public License instead.)  You can apply it to
+software for all its users.  We, the Free Software Foundation, use the
+GNU General Public License for most of our software; it applies also to
+any other work released this way by its authors.  You can apply it to
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   When we speak of free software, we are referring to freedom, not
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+them if you wish), that you receive source code or can get it if you
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-   TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
 
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                      END OF TERMS AND CONDITIONS
 
@@ -287,15 +628,15 @@ free software which everyone can redistribute and change under these terms.
 
   To do so, attach the following notices to the program.  It is safest
 to attach them to the start of each source file to most effectively
-convey the exclusion of warranty; and each file should have at least
+state the exclusion of warranty; and each file should have at least
 the "copyright" line and a pointer to where the full notice is found.
 
-    {description}
+    <one line to give the program's name and a brief idea of what it does.>
-    Copyright (C) {year}  {fullname}
+    Copyright (C) <year>  <name of author>
 
-    This program is free software; you can redistribute it and/or modify
+    This program is free software: you can redistribute it and/or modify
     it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
+    the Free Software Foundation, either version 3 of the License, or
     (at your option) any later version.
 
     This program is distributed in the hope that it will be useful,
@@ -303,37 +644,31 @@ the "copyright" line and a pointer to where the full notice is found.
     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
     GNU General Public License for more details.
 
-    You should have received a copy of the GNU General Public License along
+    You should have received a copy of the GNU General Public License
-    with this program; if not, write to the Free Software Foundation, Inc.,
+    along with this program.  If not, see <https://www.gnu.org/licenses/>.
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
 
 Also add information on how to contact you by electronic and paper mail.
 
-If the program is interactive, make it output a short notice like this
+  If the program does terminal interaction, make it output a short
-when it starts in an interactive mode:
+notice like this when it starts in an interactive mode:
 
-    Gnomovision version 69, Copyright (C) year name of author
+    <program>  Copyright (C) <year>  <name of author>
-    Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+    This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
     This is free software, and you are welcome to redistribute it
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-  `Gnomovision' (which makes passes at compilers) written by James Hacker.
+into proprietary programs.  If your program is a subroutine library, you
-
+may consider it more useful to permit linking proprietary applications with
-  {signature of Ty Coon}, 1 April 1989
+the library.  If this is what you want to do, use the GNU Lesser General
-  Ty Coon, President of Vice
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-Public License instead of this License.

README.md

@@ -1,64 +1,81 @@
-# A Gear module for FreeCAD
+# FreeCAD Gears
 
-[![Liberapay](http://img.shields.io/liberapay/patrons/looooo.svg?logo=liberapay)](https://liberapay.com/looooo/donate)
+A gear workbench for FreeCAD: create involute, cycloid, bevel, worm, timing, lantern and crown gears with full control over parameters.
 
 ## Requirements
-FreeCAD > v0.16
 
-# Screenshots
+- **FreeCAD** ≥ 1.0 (or ≥ 0.16 for older setups)
-![gear](examples/spiral.png)
+- **Python** ≥ 3.8 (used by FreeCAD)
-![gear1](examples/animated_spiral.gif)
+- **Python packages:** `numpy`, `scipy`, `sympy` (optional: `jupyter`, `matplotlib`)
 
-## Supported gear-types
+## Supported gear types
 
-### Cylindric Involute
+### Cylindric involute
-#### Shifting
+- Shifting, helical, double helical, undercut, fillets
-#### Helical
-#### Double Helical
-#### Undercut
 
-### Involute Rack
+![involute-gear](examples/images/involute-double-helical-gear.png)
 
-### Cylindric Cycloid
+### Involute rack
-#### Helical
+![involute-rack](examples/images/involute-rack.png)
-#### Double Helical
 
-### Spherical Involute Bevel-Gear
+### Cylindric cycloid
-#### Spiral
+- Helical, double helical, fillets
 
-### Crown-Gear
+![cycloid-gear](examples/images/cycloid-gear.png)
 
----------------------------
+### Cycloid rack
+![cycloid-rack](examples/images/cycloid-rack.png)
+
+### Spherical involute bevel gear
+- Spiral
+
+![bevel-gear](examples/images/bevel-gear.png)
+
+### Crown gear
+![crown-gear](examples/images/crown-gear.png)
+
+### Worm gear
+![worm-gear](examples/images/worm-gear.png)
+
+### Timing gear
+![timing-gear](examples/images/timing-gear.png)
+
+### Lantern gear
+![lantern-gear](examples/images/lantern-gear.png)
+
+---
 
 ## Installation
 
-### Addon Manger  
+### Addon Manager (recommended)
-Starting from v0.17 it's possible to use the built-in FreeCAD [Addon Manager](https://github.com/FreeCAD/FreeCAD-addons#1-builtin-addon-manager)
+In FreeCAD: **Tools** → **Addon Manager** → search for “Gears” (or “FCGear”) → Install.
-located in the `Tools` > `Addon Manager` dropdown menu.
 
 ### pip
+```bash
+pip install freecad.gears
+```
+Or from source:
+```bash
+pip install https://github.com/looooo/freecad.gears/archive/master.tar.gz
+```
+Use the same Python/pip that FreeCAD uses on your system.
 
-`pip install https://github.com/looooo/FCGear/archive/master.tar.gz`
+---
-
-**Important note:** Most systems have multiple versions of python installed. Make sure the `pip` you're using is used by FreeCAD as well.
 
 ## Usage
 
-### Create a gear manually
+### In FreeCAD
-* Open freecad
+1. Open FreeCAD and switch to the **Gear** workbench.
-* Switch to the gear workbench
+2. **File** → **New** (or open a document).
-* Create new document
+3. Create a gear from the toolbar and adjust parameters in the property panel.
-* Create a gear (click on a gear symbol in the toolbar)
-* Change the gear parameters
-
-## Scripted gears
-Use the power of python to automate your gear modeling: 
 
+### From Python
 ```python
 import FreeCAD as App
 import freecad.gears.commands
+
 gear = freecad.gears.commands.CreateInvoluteGear.create()
-gear.teeth = 20
+gear.num_teeth = 20
 gear.beta = 20
 gear.height = 10
 gear.double_helix = True
@@ -66,17 +83,57 @@ App.ActiveDocument.recompute()
 Gui.SendMsgToActiveView("ViewFit")
 ```
 
+---
+
+## Development
+
+The project uses [pixi](https://pixi.sh/) for environment and task management.
+
+### Setup
+```bash
+pixi install
+```
+
+### Pixi commands
+
+
+### Tasks (Kurzreferenz)
+
+| Befehl | Beschreibung |
+|--------|--------------|
+| `pixi run freecad` | FreeCAD mit freecad.gears starten. |
+| `pixi run lint` | Pylint. |
+| `pixi run test` | Unit-Tests. |
+| `pixi run test-visual` | Visual-Tests (Display nötig). |
+| `pixi run test-visual-xvfb` | Visual-Tests unter xvfb. |
+| `pixi run test-all` | Alle Tests. |
+| `pixi run create-references` | Referenzbilder erzeugen. |
+| `pixi run create-references-xvfb` | Referenzbilder unter xvfb. |
+| `pixi run clean-test` | Test-Artefakte und Referenzen löschen. |
+
+Visual tests use [freecad.visual_tests](https://github.com/looooo/freecad.visual_tests): each project under `tests/data/*/` has a `metafile.yaml` and a `.FCStd` model; references are stored in `references/`.
+
+### CI (GitHub Actions)
+- **Pylint:** Runs on push, pull_request and `workflow_dispatch` (lint does not fail the job).
+- **Tests:** Unit tests on all OS; visual tests (xvfb) on Ubuntu only.
+- **Update reference images:** Manual workflow “Update reference images” to regenerate references on CI and push them to the repo.
+
+---
+
 ## References
-* Elements of Metric Gear Technology ([PDF](http://qtcgears.com/tools/catalogs/PDF_Q420/Tech.pdf))
 
-### FreeCAD Forum threads
+- Elements of Metric Gear Technology ([PDF](http://qtcgears.com/tools/catalogs/PDF_Q420/Tech.pdf))
-These are forum threads where FreeCAD Gears has been discussed. If you want to give Feedback
-or report a bug please use the below threads. Please make sure that the report hasn't been reported already
-by browsing this repositories [issue queue](https://github.com/looooo/freecad.gears/issues).   
-* "CONTINUED: involute gear generator preview !" ([thread](https://forum.freecadweb.org/viewtopic.php?f=10&t=4829))  
-* "Bevel gear - module/script/tutorial" ([thread](https://forum.freecadweb.org/viewtopic.php?f=3&t=12878))  
-* "Gears in FreeCAD: FC Gear" ([thread](https://forum.freecadweb.org/viewtopic.php?f=24&t=27381))  
-* "FC Gears: Feedback thread" ([thread](https://forum.freecadweb.org/viewtopic.php?f=8&t=27626))  
 
-# License
+### FreeCAD Forum
-GNU General Public License v2.0
+- [Involute gear generator preview](https://forum.freecadweb.org/viewtopic.php?f=10&t=4829)
+- [Bevel gear – module/script/tutorial](https://forum.freecadweb.org/viewtopic.php?f=3&t=12878)
+- [Gears in FreeCAD: FC Gear](https://forum.freecadweb.org/viewtopic.php?f=24&t=27381)
+- [FC Gears: Feedback thread](https://forum.freecadweb.org/viewtopic.php?f=8&t=27626)
+
+Please check the [issue tracker](https://github.com/looooo/freecad.gears/issues) before opening a new report.
+
+---
+
+## License
+
+GNU General Public License v3.0

TODO.md

@@ -0,0 +1,6 @@
+# TODO
+
+## refactoring
+
+- [X] fp.gear.z -> fp.gear.num_teeth
+- [X] fp.teeth  -> fp.gear.num_teeth

examples/notebooks_and_scripts/animation.py

@@ -1,25 +1,29 @@
 # script for bevel-gear animation
 
-from PySide import QtGui, QtCore
+from PySide import QtCore
-import FreeCADGui as Gui
+import FreeCAD as app
+import FreeCADGui as gui
 import numpy as np
-import imageio
 
-doc = App.ActiveDocument
+doc = app.ActiveDocument
 g2 = doc.Common
 g1 = doc.Common001
 
 timer = QtCore.QTimer()
 
+
 def make_pics():
     n = 30
     for i in range(n):
         phi = np.pi * 2 / 30 / n
-    	g1.Placement.Rotation.Angle += phi * 2
+        g1.Placement.Rotation.Angle += phi * 2
-    	g2.Placement.Rotation.Angle -= phi
+        g2.Placement.Rotation.Angle -= phi
-        Gui.activeDocument().activeView().saveImage('/home/lo/Schreibtisch/animated_gear/gear_{}.png'.format(i) ,300,300,'Current')
+        gui.activeDocument().activeView().saveImage(
-
+            "/home/lo/Schreibtisch/animated_gear/gear_{}.png".format(i),
-def make_animated_gif():
+            300,
+            300,
+            "Current",
+        )
 
 
 def update(*args):
@@ -28,5 +32,6 @@ def update(*args):
     g1.Placement.Rotation.Angle += delta_phi * 2
     g2.Placement.Rotation.Angle -= delta_phi
 
+
 timer.timeout.connect(update)
 timer.start()

examples/worm_cutting_tool/cutting_tool_worm_assembly.ipynb

@@ -0,0 +1,794 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "5e24589a-461d-46b5-8141-37f948dcf4dc",
+   "metadata": {},
+   "source": [
+    "# cutting tool for a worm gear\n",
+    "\n",
+    "1. idea 1:  \n",
+    "\n",
+    "<img src=\"../../docs/computing a profile_from_a_given_rack.jpg\">"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "7eacf041-aa83-49e2-9cbe-066f177197f6",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import sympy as sym\n",
+    "import numpy as np\n",
+    "from pygears.transformation import symbolic_transformation, numeric_transformation"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "5852aa56-e66b-4f3c-a50d-0cb4cb21abd2",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "t = sym.Symbol(\"t\")\n",
+    "T1 = symbolic_transformation(np.pi / 2.,\n",
+    "                             np.array([1., 0., 0.]),\n",
+    "                             np.array([12.5,0., 1.15]))\n",
+    "T2 = symbolic_transformation(-t / 7.5,\n",
+    "                             np.array([0., 0., 1.]),\n",
+    "                             np.array([0., 0., 0.]))\n",
+    "T3 = symbolic_transformation(0.,\n",
+    "                             np.array([1., 0., 0.]),\n",
+    "                             np.array([0., 0., t]))\n",
+    "\n",
+    "T = sym.nsimplify(T2.inv() @ T1.inv() @ T3, tolerance=10e-16)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "7c9837b8-caf7-4447-bf0d-eba9085197a5",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([[ 0.        ,  0.        , -0.13333333,  0.15333333],\n",
+       "       [-0.13333333,  0.        ,  0.        ,  0.66666667],\n",
+       "       [ 0.        ,  0.        ,  0.        ,  0.        ],\n",
+       "       [ 0.        ,  0.        ,  0.        ,  0.        ]])"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "T_fn = sym.lambdify(t, T)\n",
+    "dT_fn = sym.lambdify(t, T.diff(t))\n",
+    "dT_fn(0.)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "e4354a36-409a-40a6-8f4f-bb5a6c84f3b7",
+   "metadata": {},
+   "source": [
+    "Diese Methode funktioniert nicht, weil die Bedingung zur Bestimmung des Kontaktpunktes falsch ist.\n",
+    "Eine Bedingung für die generierung einer konstanten Übersetzung ist, dass die Normale auf die Kontaktfläche (Zahnstange) immer durch den Punkt p (Eingriffspunkt für Ersatzzahnrad (Zylinder) und Ersatzzahnstange (Quader) gehen muss.\n",
+    "Gesucht sind also Punkte auf der Fläche S welche verbunden mit P normal auf die Fläche stehen. Dies kann auch als minimaler Abstand von P zur Fläche gesehen werden.\n",
+    "\n",
+    "für jedes u: min(norm(S(u,v)-P)) -> d(norm(S(u,v)-P)/dv = 0\n",
+    "die Änderung des Abstands ist 0 -> die Gerade steht normal auf die Fläche\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "43f00b65-c05c-4734-8c5a-e7845a6f4dff",
+   "metadata": {},
+   "source": [
+    "## Vorgehensweise\n",
+    "\n",
+    "1. approximate the surface by a BSplineSurface\n",
+    "\n",
+    "- Erstellen eines \"Cross-Sektion\" objekts aus dem \"Werkzeug\"\n",
+    "\n",
+    "<img src=\"cross_section.png\">  \n",
+    "\n",
+    "- Draft downgrade um Kanten zu bekommen\n",
+    "das Cross-section Objekt beinhaltet nicht die anfangs und end Kanten. Diese müssen zusätzlich vom Werkzeug extrahiert werden\n",
+    "\n",
+    "- Part Loft zum erstellen einer schönen BSplinefläche\n",
+    "\n",
+    "<img src=\"loft_bspline_flaechen.png\"> \n",
+    "\n",
+    "3. Loft -> Surface\n",
+    "\n",
+    "```python\n",
+    "# select the cutting faces\n",
+    "face_1 = App.ActiveDocument.Loft.Shape.Faces[0].copy()\n",
+    "face_2 = App.ActiveDocument.Loft001.Shape.Faces[0].copy()\n",
+    "\n",
+    "# compute the contact curve:\n",
+    "bsp_1 = face_1.Surface\n",
+    "bsp_2 = face_2.Surface\n",
+    "\n",
+    "```\n",
+    "\n",
+    "4. Minimierung des Abstands zum \"Pitch-Punkt\"\n",
+    "\n",
+    "```python\n",
+    "import scipy as scp\n",
+    "point = App.Vector(5., 0., 1.15 - time) \n",
+    "xyz_1 = []\n",
+    "for v in np.linspace(0, 1, 5):\n",
+    "        def dist_1(u):\n",
+    "            distance = bsp_1.value(u, v) - point\n",
+    "            return distance.x ** 2 + distance.z ** 2\n",
+    "        u_1 = scp.optimize.minimize(dist_1, 0.5, tol=1e-6).x[0]\n",
+    "        xyz_1.append(bsp_1.value(u_1, v))\n",
+    "```\n",
+    "\n",
+    "5. erstellen einer B-Spline Kurve welche durch die Kinematik T transformiert wird\n",
+    "\n",
+    "```python\n",
+    "c_1 = part.BSplineCurve()\n",
+    "c_1.interpolate(Points=xyz_1)\n",
+    "c_1 = c_1.toShape()\n",
+    "\n",
+    "part.show(c_1.transformShape(T))\n",
+    "```\n",
+    "\n",
+    "6. Loft anwenden auf die erstellten BSpline Kurven\n",
+    "\n",
+    "<img src=\"loft_of_generated_bsplines.png\">\n",
+    "\n",
+    "7. Array für das Zahnrad\n",
+    "\n",
+    "<img src=\"gear_assembly.png\">"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "id": "cfd8026b-5a84-4882-a1de-63580776a579",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import sympy as sym\n",
+    "import numpy as np\n",
+    "import scipy as sp\n",
+    "\n",
+    "from pygears.transformation import symbolic_transformation, numeric_transformation\n",
+    "\n",
+    "t, x, z, m, r_w = sym.symbols([\"t\", \"x\", \"z\", \"m\", \"r_w\"], real=True)\n",
+    "s, alpha, n_t, y, phi = sym.symbols([\"s\", \"alpha\", \"n_t\", \"y\", \"phi\"], real=True, positiv=True)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "id": "618dd2ae-e8e5-430d-8c8c-8983358334b7",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\left[\\begin{matrix}1 & 0 & 0 & r_{w}\\\\0 & 1 & 0 & 0\\\\0 & 0 & 1 & 0\\\\0.0 & 0.0 & 0.0 & 1.0\\end{matrix}\\right]$"
+      ],
+      "text/plain": [
+       "Matrix([\n",
+       "[  1,   0,   0, r_w],\n",
+       "[  0,   1,   0,   0],\n",
+       "[  0,   0,   1,   0],\n",
+       "[0.0, 0.0, 0.0, 1.0]])"
+      ]
+     },
+     "execution_count": 9,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "p0 = symbolic_transformation(0,np.array([0, 0, 1]), [r_w, 0, 0, 1])\n",
+    "p0"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "id": "0f305b8b-0fb5-4b71-80b6-9a2b43b59e26",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\left[\\begin{matrix}r_{w} + s \\cos{\\left(\\alpha \\right)}\\\\0\\\\- s \\sin{\\left(\\alpha \\right)}\\\\1.0\\end{matrix}\\right]$"
+      ],
+      "text/plain": [
+       "Matrix([\n",
+       "[r_w + s*cos(alpha)],\n",
+       "[                 0],\n",
+       "[     -s*sin(alpha)],\n",
+       "[               1.0]])"
+      ]
+     },
+     "execution_count": 11,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "l = p0 @ sym.Matrix([s * sym.cos(alpha), 0, -s * sym.sin(alpha), 1])\n",
+    "l"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "id": "65bb90d7-0f5b-410e-9a3a-0f9953a4d846",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\left[\\begin{matrix}\\cos{\\left(\\phi \\right)} & \\sin{\\left(\\phi \\right)} & 0 & 0\\\\- \\sin{\\left(\\phi \\right)} & \\cos{\\left(\\phi \\right)} & 0 & 0\\\\0 & 0 & 1 & m n_{t} \\phi\\\\0.0 & 0.0 & 0.0 & 1.0\\end{matrix}\\right]$"
+      ],
+      "text/plain": [
+       "Matrix([\n",
+       "[ cos(phi), sin(phi),   0,         0],\n",
+       "[-sin(phi), cos(phi),   0,         0],\n",
+       "[        0,        0,   1, m*n_t*phi],\n",
+       "[      0.0,      0.0, 0.0,       1.0]])"
+      ]
+     },
+     "execution_count": 19,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "T_spiral = symbolic_transformation(phi, np.array([0, 0, 1]), np.array([0, 0, m * phi * n_t]))\n",
+    "T_spiral"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "id": "da3c8575-99ad-4258-8734-c165ea65b014",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\left[\\begin{matrix}\\left(r_{w} + s \\cos{\\left(\\alpha \\right)}\\right) \\cos{\\left(\\phi \\right)}\\\\- \\left(r_{w} + s \\cos{\\left(\\alpha \\right)}\\right) \\sin{\\left(\\phi \\right)}\\\\1.0 m n_{t} \\phi - s \\sin{\\left(\\alpha \\right)}\\\\1.0\\end{matrix}\\right]$"
+      ],
+      "text/plain": [
+       "Matrix([\n",
+       "[ (r_w + s*cos(alpha))*cos(phi)],\n",
+       "[-(r_w + s*cos(alpha))*sin(phi)],\n",
+       "[  1.0*m*n_t*phi - s*sin(alpha)],\n",
+       "[                           1.0]])"
+      ]
+     },
+     "execution_count": 20,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "spiral = (T_spiral @ l)\n",
+    "spiral"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "id": "e47eb83b-6e89-4246-a82a-bd5629aedc2a",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\operatorname{acos}{\\left(\\frac{x}{r_{w} + s \\cos{\\left(\\alpha \\right)}} \\right)}$"
+      ],
+      "text/plain": [
+       "acos(x/(r_w + s*cos(alpha)))"
+      ]
+     },
+     "execution_count": 21,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "x_cross_section = sym.simplify(sym.solve(spiral[0] - x, phi)[1])\n",
+    "x_cross_section"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "id": "c2954b39-eea0-4e27-987f-07a5d0dedaad",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\left[\\begin{matrix}x\\\\- \\sqrt{- \\frac{x^{2} - \\left(r_{w} + s \\cos{\\left(\\alpha \\right)}\\right)^{2}}{\\left(r_{w} + s \\cos{\\left(\\alpha \\right)}\\right)^{2}}} \\left(r_{w} + s \\cos{\\left(\\alpha \\right)}\\right)\\\\1.0 m n_{t} \\operatorname{acos}{\\left(\\frac{x}{r_{w} + s \\cos{\\left(\\alpha \\right)}} \\right)} - s \\sin{\\left(\\alpha \\right)}\\\\1.0\\end{matrix}\\right]$"
+      ],
+      "text/plain": [
+       "Matrix([\n",
+       "[                                                                                    x],\n",
+       "[-sqrt(-(x**2 - (r_w + s*cos(alpha))**2)/(r_w + s*cos(alpha))**2)*(r_w + s*cos(alpha))],\n",
+       "[                                1.0*m*n_t*acos(x/(r_w + s*cos(alpha))) - s*sin(alpha)],\n",
+       "[                                                                                  1.0]])"
+      ]
+     },
+     "execution_count": 22,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "spiral_x = sym.simplify(spiral.subs({phi: x_cross_section}))\n",
+    "spiral_x"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "id": "268c6302-4e7d-45e0-be28-1b64cf8b766e",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\frac{- r_{w} + \\sqrt{x^{2} + y^{2}}}{\\cos{\\left(\\alpha \\right)}}$"
+      ],
+      "text/plain": [
+       "(-r_w + sqrt(x**2 + y**2))/cos(alpha)"
+      ]
+     },
+     "execution_count": 29,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "y_cross_section = sym.simplify(sym.solve(spiral_x[1]- y, s)[0])\n",
+    "y_cross_section\n",
+    "y_cross_section = (sym.sqrt(x**2 + y**2) - r_w) / sym.cos(alpha)\n",
+    "y_cross_section"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "id": "7284bd6a-b47b-483c-8e9f-79fcaecce5e3",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\left[\\begin{matrix}x\\\\- y\\\\1.0 m n_{t} \\operatorname{acos}{\\left(\\frac{x}{r{\\left(x,y \\right)}} \\right)} + 1.0 r_{w} \\tan{\\left(\\alpha \\right)} - 1.0 r{\\left(x,y \\right)} \\tan{\\left(\\alpha \\right)}\\\\1.0\\end{matrix}\\right]$"
+      ],
+      "text/plain": [
+       "Matrix([\n",
+       "[                                                                      x],\n",
+       "[                                                                     -y],\n",
+       "[1.0*m*n_t*acos(x/r(x, y)) + 1.0*r_w*tan(alpha) - 1.0*r(x, y)*tan(alpha)],\n",
+       "[                                                                    1.0]])"
+      ]
+     },
+     "execution_count": 30,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "f_r = sym.Function(\"r\")(x, y)\n",
+    "spiral_xy = sym.simplify(spiral_x.subs({s: y_cross_section}))\n",
+    "spiral_xy = spiral_xy.subs({sym.Abs(y): y, sym.sqrt(x**2 + y**2): f_r})\n",
+    "spiral_xy"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 31,
+   "id": "e7b9f7cc-59f0-4dc6-922c-c94a753c0fd5",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle z{\\left(x,y \\right)}$"
+      ],
+      "text/plain": [
+       "z(x, y)"
+      ]
+     },
+     "execution_count": 31,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "z = sym.Function(\"z\")(x, y)\n",
+    "z"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "id": "080e1845-8ff4-493e-aa28-5b677bfa3cb4",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\frac{y - y_{p} + z{\\left(x,y \\right)} \\frac{\\partial}{\\partial y} z{\\left(x,y \\right)}}{\\sqrt{\\left(y - y_{p}\\right)^{2} + z^{2}{\\left(x,y \\right)}}}$"
+      ],
+      "text/plain": [
+       "(y - y_p + z(x, y)*Derivative(z(x, y), y))/sqrt((y - y_p)**2 + z(x, y)**2)"
+      ]
+     },
+     "execution_count": 32,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "y_p =sym.Symbol(\"y_p\")\n",
+    "dist_p = sym.sqrt(z**2 + (y - y_p)**2)\n",
+    "dist_p.diff(y)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "d9559950-1520-439c-8e7a-35b4006f104a",
+   "metadata": {},
+   "source": [
+    "## for x = 0, for a first guess of t"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "0811a6d6-4544-4a99-b4bd-ba5cf6b9027e",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "PATH_TO_FREECAD_LIBDIR not specified, using default FreeCAD version in /Users/lo/mambaforge/envs/freecad/lib\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "<Part::PartFeature>"
+      ]
+     },
+     "execution_count": 1,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "import scipy as sp\n",
+    "import numpy as np\n",
+    "from freecad import part\n",
+    "from freecad import app\n",
+    "from pygears.transformation import numeric_transformation\n",
+    "\n",
+    "debug = False\n",
+    "def compute_involute(module=1, teeth=15, height=5, worm_pitch_diameter=10, num_threads=1, alpha=np.deg2rad(20)):\n",
+    "    x = 0.\n",
+    "    r_w = module * teeth / 2\n",
+    "    x_p = worm_pitch_diameter / 2\n",
+    "    r_thales = r_w / 2.\n",
+    "    x_thales = y_p + r_thales\n",
+    "    \n",
+    "    def length(y):\n",
+    "        return (x**2 + y**2)**(0.5)\n",
+    "    \n",
+    "    def dlength_dy(y):\n",
+    "        return y / length(y)\n",
+    "    \n",
+    "    def z(y, t):\n",
+    "        r = length(y)\n",
+    "        return - module * num_threads * np.arcsin(x / r) / 2 + (r-r_w) * np.tan(alpha) + t\n",
+    "    \n",
+    "    def dz_dy(y):\n",
+    "        r = length(y)\n",
+    "        return module * num_threads * x * dlength_dy(y) / \\\n",
+    "               (2 * np.sqrt(1 - x ** 2 / r ** 2 ) * r ** 2) + \\\n",
+    "               np.tan(alpha) * dlength_dy(y)\n",
+    "        \n",
+    "    def distance_yp(y, t):\n",
+    "        return np.sqrt((y_p - y) ** 2 + z(y, t) ** 2)\n",
+    "\n",
+    "    def distance_yp_2(y, t):\n",
+    "        return (y_p - y) ** 2 + z(y, t) ** 2\n",
+    "    \n",
+    "    def ddistance_yp_dy(y, t):\n",
+    "        return (y - y_p + z(y, t) * dz_dy(y)) / distance_yp(y, t)\n",
+    "    \n",
+    "    def distance_ythales(y, t):\n",
+    "        return np.sqrt((y_thales - y) ** 2 + z(y, t) ** 2)\n",
+    "    \n",
+    "    def min_ground(pars):\n",
+    "        y, t = pars\n",
+    "        # return the normal-condition + the intesection of the tooth-flank with the thales circle\n",
+    "        return ddistance_yp_dy(y, t) ** 2 + (distance_ythales(y, t) - r_thales) ** 2\n",
+    "\n",
+    "    def min_head(pars):\n",
+    "        y, t = pars\n",
+    "        r_0 = y_p -  5 * module # * (1 + clearence)\n",
+    "        # y_inner = r_0 * np.cos(np.arcsin(x / r_0))\n",
+    "        return ddistance_yp_dy(y, t) ** 2 + (y - r_0) ** 2\n",
+    "\n",
+    "    def analytic_solution_for_x_0():\n",
+    "        t = - (r_w + y_p) * np.tan(alpha)\n",
+    "        y = y_p + r_w * np.sin(alpha) ** 2\n",
+    "        return np.array([y, t])\n",
+    "    \n",
+    "    start = analytic_solution_for_x_0()\n",
+    "    if debug:\n",
+    "        print(f\"analytic solution:   {analytic_solution_for_x_0()}\")\n",
+    "        print(f\"min_ground analytic: {min_ground(start)}\")\n",
+    "        print(f\"thales analytic:     {distance_ythales(start[0], start[1]) - r_thales}\")\n",
+    "        print(f\"normal analytic:     {ddistance_yp_dy(start[0], start[1])}\")\n",
+    "        print()\n",
+    "\n",
+    "    # t_end is once computed for x=0\n",
+    "    t_end = sp.optimize.minimize(min_head, [y_p, 0.]).x[1]\n",
+    "\n",
+    "    xyz = []\n",
+    "    for x in np.linspace(-height / 2, height / 2, 20):\n",
+    "        xyz_section = []\n",
+    "        t_start = sp.optimize.minimize(min_ground, start).x[1]\n",
+    "        for t in np.linspace(t_start, t_end, 20):\n",
+    "\n",
+    "            # compute the time (t) dependent transformation\n",
+    "            phi = np.pi / 2\n",
+    "            phi += y_p * np.tan(alpha) / r_w\n",
+    "            phi += - np.sign(alpha) * module * np.pi / 4. / r_w\n",
+    "            phi += t / r_w\n",
+    "            T_0 = numeric_transformation(phi, np.array([0., 0., 1.]))\n",
+    "            T_1 = numeric_transformation(-np.pi / 2, np.array([0., 1., 0.]))\n",
+    "            T_2 = numeric_transformation(0., np.array([0., 0., 1.]), np.array([0, y_p + r_w, 0.]))\n",
+    "            T = np.linalg.inv(T_2 @ T_1 @ T_0)\n",
+    "            \n",
+    "            # find point on curve for given t\n",
+    "            y = sp.optimize.root(ddistance_yp_dy, y_p, (t)).x[0]\n",
+    "            z_i = z(y, t) #  - y_p * np.tan(alpha) + np.sign(alpha) * module * np.pi / 4\n",
+    "            point = np.array([x, y, z_i, 1.])\n",
+    "            xyz_section.append((T @ point)[:3])\n",
+    "        xyz.append(np.array(xyz_section))\n",
+    "\n",
+    "    return np.array(xyz)\n",
+    "\n",
+    "# parameters\n",
+    "module = 1.\n",
+    "teeth = 50\n",
+    "height = 5\n",
+    "worm_pitch_diameter = 10\n",
+    "num_threads = 1\n",
+    "alpha = np.deg2rad(20)\n",
+    "y_p = worm_pitch_diameter / 2\n",
+    "r_w = teeth * module / 2\n",
+    "clearence = 0.25\n",
+    "head = 0.\n",
+    "    \n",
+    "# create two surfaces one for positive alpha and one for negative alpha\n",
+    "for alpha_i in [-alpha, alpha]:   \n",
+    "    curves = []\n",
+    "    xyz = compute_involute(\n",
+    "        module=module,\n",
+    "        teeth=teeth, \n",
+    "        height=height,\n",
+    "        worm_pitch_diameter=worm_pitch_diameter,\n",
+    "        num_threads=num_threads,\n",
+    "        alpha=alpha_i)\n",
+    "    \n",
+    "    for line in xyz.transpose(1, 0, 2):\n",
+    "        bs = part.BSplineCurve()\n",
+    "        points = [app.Vector(*point) for point in line]\n",
+    "        bs.interpolate(points)\n",
+    "        curves.append(bs.toShape())\n",
+    "    part.show(part.makeLoft(curves))\n",
+    "\n",
+    "# create cutting surfaces for head and bottom\n",
+    "r_head = y_p - module * (1 + head)\n",
+    "r_foot = y_p + module * (1 + clearence)\n",
+    "\n",
+    "phi_head = np.arcsin(height / 2 / r_head)  # from + phi to - phi\n",
+    "phi_foot = np.arcsin(height / 2 / r_foot)\n",
+    "\n",
+    "line_head = []\n",
+    "for phi_i in np.linspace(-phi_head, phi_head, 10):\n",
+    "    x = r_w + y_p - np.cos(phi_i) * r_head\n",
+    "    z = np.sin(phi_i) * r_head\n",
+    "    line_head.append([x, 0., z, 1])\n",
+    "\n",
+    "line_foot = []\n",
+    "for phi_i in np.linspace(-phi_head, phi_head, 10):\n",
+    "    x = r_w + y_p - np.cos(phi_i) * r_foot\n",
+    "    z = np.sin(phi_i) * r_foot\n",
+    "    line_foot.append([x, 0., z, 1])\n",
+    "\n",
+    "curves_head = []\n",
+    "curves_foot = []\n",
+    "phi_j_max = 2 * np.pi / teeth\n",
+    "for phi_j in np.linspace(-phi_j_max, phi_j_max, 10):\n",
+    "    T = numeric_transformation(phi_j, np.array([0., 0., 1.]))\n",
+    "    temp_points_foot = [app.Vector(*(T @ point)[:3]) for point in line_foot]\n",
+    "    temp_points_head = [app.Vector(*(T @ point)[:3]) for point in line_head]\n",
+    "    bsp_foot = part.BSplineCurve()\n",
+    "    bsp_head = part.BSplineCurve()\n",
+    "    bsp_foot.interpolate(temp_points_foot)\n",
+    "    bsp_head.interpolate(temp_points_head)\n",
+    "    curves_foot.append(bsp_foot.toShape())\n",
+    "    curves_head.append(bsp_head.toShape())\n",
+    "\n",
+    "part.show(part.makeLoft(curves_foot))\n",
+    "part.show(part.makeLoft(curves_head))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "id": "73769524-0356-4364-acbc-c4a28d26fc57",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "t_start_1: -2.7474774194546225\n",
+      "t_start_0: 2.7474774194546225\n",
+      "t0: 0.7015390936864874, x0: 3.1224989948933315, min: 1.8775010319993481\n",
+      "t1: 0.7015390936864874, x1: 5.454356051426789, min: 0.47093369124192\n",
+      "t0: 0.5482381702072173, x0: 3.7996710369252895, min: 1.2005967588403554\n",
+      "t1: 0.5482381702072173, x1: 5.868347291705316, min: 0.8705739256491289\n",
+      "t0: -2.7474774194546225, x0: 4.0, min: 3.2681962153219666\n",
+      "t1: -2.7474774194546225, x1: 6.0, min: 3.2681962153219666\n",
+      "t0: -2.7218186874199746, x0: 3.7996710378205463, min: 3.1634473327759642\n",
+      "t1: -2.7218186874199746, x1: 5.868347293420843, min: 0.86835219843846\n",
+      "t0: 0.024534606456801573, x0: 3.1224989985781515, min: 1.877501936426569\n",
+      "t1: 0.024534606456801573, x1: 5.454356049869874, min: 0.45435622754073013\n"
+     ]
+    }
+   ],
+   "source": [
+    "import scipy as sp\n",
+    "import numpy as np\n",
+    "from freecad import part\n",
+    "from freecad import app\n",
+    "from pygears.transformation import numeric_transformation\n",
+    "\n",
+    "debug = False\n",
+    "def compute_involute(module=1, teeth=15, height=5, worm_pitch_diameter=10, num_threads=1, alpha=np.deg2rad(20)):\n",
+    "    y = 0.\n",
+    "    xw = worm_pitch_diameter / 2\n",
+    "    \n",
+    "    def length(x, y):\n",
+    "        return (x**2 + y**2)**(0.5)\n",
+    "    \n",
+    "    def z(x, y, t):\n",
+    "        r = length(x, y)\n",
+    "        return module * num_threads * np.arcsin(y / r) / 2 + (r - xw) * np.tan(alpha) + t\n",
+    "\n",
+    "    def distance_pw(x, y, t):\n",
+    "        return np.sqrt((xw - x) ** 2 + z(x, y, t) ** 2)\n",
+    "\n",
+    "    def min_root(x, y, t):\n",
+    "        r0 = xw -  module # * (1 + clearence)\n",
+    "        x_t = sp.optimize.minimize(lambda x: distance_pw(x, y, t), (t)).x[0]\n",
+    "        return distance_pw(x, y, t) + np.abs(r0**2 - x**2 - y**2)\n",
+    "\n",
+    "    def min_head(x, y, t):\n",
+    "        r1 = xw +  module # * (1 + clearence)\n",
+    "        return distance_pw(x, y, t) + np.abs(r1**2 - x**2 - y**2)\n",
+    "        \n",
+    "    xyz = []        \n",
+    "    r0 = xw -  module # * (1 + clearence)\n",
+    "    r1 = xw +  module # * (1 + clearence)\n",
+    "    t_start_0 = (r0 - xw) / np.tan(alpha)\n",
+    "    t_start_1 = (r1 - xw) / np.tan(alpha)\n",
+    "\n",
+    "    \n",
+    "    for y in np.linspace(-height / 2, height / 2, 20):\n",
+    "        for t in np.linspace(t_start_0, t_start_1, 20):\n",
+    "            x_t = sp.optimize.minimize(lambda x: distance_pw(x, y, t), xw).x[0]\n",
+    "            z_t = z(x_t, y, t)\n",
+    "            point = App.Vector(x_t, y, z_t)\n",
+    "            part.show(part.Point(point).toShape())\n",
+    "    \n",
+    "    \n",
+    "compute_involute()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "id": "26079daf-9e99-4365-89f4-c560e2aac9bd",
+   "metadata": {},
+   "outputs": [
+    {
+     "ename": "SyntaxError",
+     "evalue": "expected ':' (2870794076.py, line 1)",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[0;36m  Cell \u001b[0;32mIn[20], line 1\u001b[0;36m\u001b[0m\n\u001b[0;31m    def debug_surface()\u001b[0m\n\u001b[0m                       ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m expected ':'\n"
+     ]
+    }
+   ],
+   "source": [
+    "    def debug_surface()\n",
+    "        x_i = np.linspace(r_w / 10., r_w * 3. / 2., 10)\n",
+    "        y_i = np.linspace(-r_w, r_w, 10)\n",
+    "    \n",
+    "    \n",
+    "        # Gitterpunkte berechnen\n",
+    "        xv, yv = np.meshgrid(x_i, y_i)\n",
+    "        zv = z(xv, yv)\n",
+    "        \n",
+    "        # Punkte für die B-Spline-Fläche erzeugen\n",
+    "        points = []\n",
+    "        for i in range(xv.shape[0]):\n",
+    "            row = []\n",
+    "            for j in range(xv.shape[1]):\n",
+    "                point = FreeCAD.Vector(xv[i, j], yv[i, j], zv[i, j])\n",
+    "                # part.show(part.Point(point).toShape())\n",
+    "                row.append(point)\n",
+    "            points.append(row)\n",
+    "        \n",
+    "        # B-Spline-Fläche erstellen\n",
+    "        bspline_surface = Part.BSplineSurface()\n",
+    "        bspline_surface.approximate(points)\n",
+    "        \n",
+    "        # Fläche in FreeCAD-Dokument einfügen\n",
+    "        doc = FreeCAD.ActiveDocument if FreeCAD.ActiveDocument else FreeCAD.newDocument()\n",
+    "        bspline_shape = Part.Shape(bspline_surface)\n",
+    "        part_object = doc.addObject(\"Part::Feature\", \"BSplineSurface\")\n",
+    "        part_object.Shape = bspline_shape\n",
+    "        doc.recompute()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "e0bfeffb-7261-4976-8eb3-805af31d4bfd",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.13.1"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}

freecad/__init__.py

@@ -1 +0,0 @@
-__path__ = __import__('pkgutil').extend_path(__path__, __name__)

freecad/gears/Init.py

@@ -0,0 +1,19 @@
+"""Kindred Gears - Console initialization.
+
+Adds the gears repo root to sys.path so the pygears math library
+and the freecad.gears namespace package are importable.
+"""
+
+import os
+import sys
+
+# mods/gears/freecad/gears/Init.py -> dirname x3 -> mods/gears/
+_repo_root = os.path.dirname(
+    os.path.dirname(os.path.dirname(os.path.abspath(__file__)))
+)
+if _repo_root not in sys.path:
+    sys.path.insert(0, _repo_root)
+
+import FreeCAD
+
+FreeCAD.Console.PrintLog("kindred-gears loaded\n")

freecad/gears/InitGui.py

@@ -0,0 +1,40 @@
+"""Kindred Gears - GUI initialization.
+
+Imports the upstream GearWorkbench registration and injects gear
+commands into PartDesign editing contexts via the Kindred SDK.
+"""
+
+from freecad.gears.init_gui import *  # noqa: F401,F403
+
+
+def _inject_gear_context():
+    """Inject gear commands into PartDesign editing contexts."""
+    try:
+        from kindred_sdk import inject_commands
+
+        gear_commands = [
+            "FCGear_InvoluteGear",
+            "FCGear_InternalInvoluteGear",
+            "FCGear_InvoluteRack",
+            "FCGear_CycloidGear",
+            "FCGear_CycloidRack",
+            "FCGear_BevelGear",
+            "FCGear_CrownGear",
+            "FCGear_WormGear",
+            "FCGear_TimingGearT",
+            "FCGear_TimingGear",
+            "FCGear_LanternGear",
+            "FCGear_HypoCycloidGear",
+            "FCGear_GearConnector",
+        ]
+        inject_commands("partdesign.body", "Gear", gear_commands)
+        inject_commands("partdesign.feature", "Gear", gear_commands)
+    except Exception as e:
+        import FreeCAD
+
+        FreeCAD.Console.PrintWarning(f"kindred-gears: context injection failed: {e}\n")
+
+
+from PySide6.QtCore import QTimer
+
+QTimer.singleShot(500, _inject_gear_context)

freecad/gears/__init__.py

@@ -1,2 +1,21 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * This program is distributed in the hope that it will be useful,         *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+# * GNU General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
 import pygears
+
 __version__ = pygears.__version__

freecad/gears/basegear.py

@@ -0,0 +1,332 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * This program is distributed in the hope that it will be useful,         *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+# * GNU General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+import os
+import sys
+import numpy as np
+
+from freecad import app
+from freecad import part
+
+from pygears import __version__
+from pygears._functions import arc_from_points_and_center
+
+QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
+
+
+def fcvec(x):
+    """tranforms a list or numpy array to a FreeCAD Vector which is
+    always 3d
+
+    Args:
+        x (iterable): either a 2d or 3d vector
+
+    Returns:
+        freecad.app.Vector: _description_
+    """
+    if len(x) == 2:
+        return app.Vector(x[0], x[1], 0)
+    else:
+        return app.Vector(x[0], x[1], x[2])
+
+
+class ViewProviderGear:
+    """
+    The base Viewprovider for the gears
+    """
+
+    def __init__(self, obj, icon_fn=None):
+        # Set this object to the proxy object of the actual view provider
+        obj.Proxy = self
+        self._check_attr()
+        dirname = os.path.dirname(__file__)
+        self.icon_fn = icon_fn or os.path.join(dirname, "icons", "involutegear.svg")
+
+    def _check_attr(self):
+        """
+        Check for missing attributes.
+        """
+        if not hasattr(self, "icon_fn"):
+            setattr(
+                self,
+                "icon_fn",
+                os.path.join(os.path.dirname(__file__), "icons", "involutegear.svg"),
+            )
+
+    def attach(self, vobj):
+        self.vobj = vobj
+
+    def getIcon(self):
+        self._check_attr()
+        return self.icon_fn
+
+    def dumps(self):
+        self._check_attr()
+        return {"icon_fn": self.icon_fn}
+
+    def loads(self, state):
+        if state and "icon_fn" in state:
+            self.icon_fn = state["icon_fn"]
+
+    def __getstate__(self):
+        self._check_attr()
+        return {"icon_fn": self.icon_fn}
+
+    def __setstate__(self, state):
+        if state and "icon_fn" in state:
+            self.icon_fn = state["icon_fn"]
+
+
+class BaseGear:
+    def __init__(self, obj):
+        obj.addProperty(
+            "App::PropertyString",
+            "version",
+            "version",
+            QT_TRANSLATE_NOOP("App::Property", "freecad.gears-version"),
+            1,
+        )
+        obj.version = __version__
+        self.make_attachable(obj)
+
+    def make_attachable(self, obj):
+        """
+        Needed to make this object "attachable",
+        aka able to attach parameterically to other objects
+        cf. https://wiki.freecadweb.org/Scripted_objects_with_attachment
+        """
+        if int(app.Version()[0]) == 0 and int(app.Version()[1]) >= 19 or int(app.Version()[0]) == 1:
+            obj.addExtension("Part::AttachExtensionPython")
+        else:
+            obj.addExtension("Part::AttachExtensionPython", obj)
+        # unveil the "Placement" property, which seems hidden by default in PartDesign
+        obj.setEditorMode("Placement", 0)  # non-readonly non-hidden
+
+    def execute(self, obj):
+        # checksbackwardcompatibility:
+        if not hasattr(obj, "positionBySupport"):
+            self.make_attachable(obj)
+        obj.positionBySupport()
+
+        # Backward compatibility for old files
+        if hasattr(obj, "teeth"):
+            obj.addProperty(
+                "App::PropertyIntegerConstraint",
+                "num_teeth",
+                "base",
+                "number of teeth",
+            ).num_teeth = (15, 3, 10000, 1)
+            app.Console.PrintLog(
+                app.Qt.translate(
+                    "Log", "Migrating 'teeth' property to 'num_teeth' on {} part\n"
+                ).format(obj.Name)
+            )
+            obj.num_teeth = obj.teeth  # Copy old value to new property
+            obj.removeProperty("teeth")  # Remove the old property
+
+        gear_shape = self.generate_gear_shape(obj)
+        if hasattr(obj, "BaseFeature") and obj.BaseFeature != None:
+            # we're inside a PartDesign Body, thus need to fuse with the base feature
+            gear_shape.Placement = (
+                obj.Placement
+            )  # ensure the gear is placed correctly before fusing
+            result_shape = obj.BaseFeature.Shape.fuse(gear_shape)
+            result_shape.transformShape(
+                obj.Placement.inverse().toMatrix(), True
+            )  # account for setting obj.Shape below moves the shape to obj.Placement, ignoring its previous placement
+            obj.Shape = result_shape
+        else:
+            obj.Shape = gear_shape
+
+    def generate_gear_shape(self, obj):
+        """
+        This method has to return the TopoShape of the gear.
+        """
+        raise NotImplementedError("generate_gear_shape not implemented")
+
+
+    def loads(self, state):
+        pass
+
+    def dumps(self):
+        pass
+
+    def __setstate__(self, state):
+        pass
+
+    def __getstate__(self):
+        pass
+
+
+def part_arc_from_points_and_center(point_1, point_2, center):
+    """_summary_
+
+    Args:
+        point_1 (list, np.array with 2 values): 2d point start of arc
+        point_1 (list, np.array with 2 values): 2d point end of arc
+        center (list, np.array with 2 values): the 2d center of the arc
+
+    Returns:
+        freecad.part.Arc: a arc with
+    """
+    p_1, p_12, p_2 = arc_from_points_and_center(point_1, point_2, center)
+    return part.Arc(fcvec(p_1), fcvec(p_12), fcvec(p_2))
+
+
+def helical_extrusion(face, height, angle, double_helix=False):
+    """
+    A helical extrusion using the BRepOffsetAPI
+    face -- the face to extrude (may contain holes, i.e. more then one wires)
+    height -- the height of the extrusion, normal to the face
+    angle -- the twist angle of the extrusion in radians
+
+    returns a solid
+    """
+    pitch = height * 2 * np.pi / abs(angle)
+    radius = 10.0  # as we are only interested in the "twist", we take an arbitrary constant here
+    cone_angle = 0
+    direction = bool(angle < 0)
+    if double_helix:
+        spine = part.makeHelix(pitch, height / 2.0, radius, cone_angle, direction)
+        spine.translate(app.Vector(0, 0, height / 2.0))
+        face = face.translated(
+            app.Vector(0, 0, height / 2.0)
+        )  # don't transform our argument
+    else:
+        spine = part.makeHelix(pitch, height, radius, cone_angle, direction)
+
+    def make_pipe(path, profile):
+        """
+        returns (shell, last_wire)
+        """
+        mkPS = part.BRepOffsetAPI.MakePipeShell(path)
+        mkPS.setFrenetMode(
+            True
+        )  # otherwise, the profile's normal would follow the path
+        mkPS.add(profile, False, False)
+        mkPS.build()
+        return (mkPS.shape(), mkPS.lastShape())
+
+    shell_faces = []
+    top_wires = []
+    for wire in face.Wires:
+        pipe_shell, top_wire = make_pipe(spine, wire)
+        shell_faces.extend(pipe_shell.Faces)
+        top_wires.append(top_wire)
+    top_face = part.Face(top_wires)
+    shell_faces.append(top_face)
+    if double_helix:
+        origin = app.Vector(0, 0, height / 2.0)
+        xy_normal = app.Vector(0, 0, 1)
+        mirror_xy = lambda f: f.mirror(origin, xy_normal)
+        bottom_faces = list(map(mirror_xy, shell_faces))
+        shell_faces.extend(bottom_faces)
+        # TODO: why the heck is makeShell from this empty after mirroring?
+        # ... and why the heck does it work when making an intermediate compound???
+        hacky_intermediate_compound = part.makeCompound(shell_faces)
+        shell_faces = hacky_intermediate_compound.Faces
+    else:
+        shell_faces.append(face)  # the bottom is what we extruded
+    shell = part.makeShell(shell_faces)
+    # shell.sewShape() # fill gaps that may result from accumulated tolerances. Needed?
+    # shell = shell.removeSplitter() # refine. Needed?
+    return part.makeSolid(shell)
+
+
+def make_face(edge1, edge2):
+    v1, v2 = edge1.Vertexes
+    v3, v4 = edge2.Vertexes
+    e1 = part.Wire(edge1)
+    e2 = part.LineSegment(v1.Point, v3.Point).toShape().Edges[0]
+    e3 = edge2
+    e4 = part.LineSegment(v4.Point, v2.Point).toShape().Edges[0]
+    w = part.Wire([e3, e4, e1, e2])
+    return part.Face(w)
+
+
+def make_bspline_wire(pts):
+    wi = []
+    for i in pts:
+        out = part.BSplineCurve()
+        out.interpolate(list(map(fcvec, i)))
+        wi.append(out.toShape())
+    return part.Wire(wi)
+
+
+def points_to_wire(pts):
+    wire = []
+    for i in pts:
+        if len(i) == 2:
+            # straight edge
+            out = part.LineSegment(*list(map(fcvec, i)))
+        else:
+            out = part.BSplineCurve()
+            out.interpolate(list(map(fcvec, i)))
+        wire.append(out.toShape())
+    return part.Wire(wire)
+
+
+def rotate_tooth(base_tooth, num_teeth):
+    rot = app.Matrix()
+    rot.rotateZ(2 * np.pi / num_teeth)
+    flat_shape = [base_tooth]
+    for t in range(num_teeth - 1):
+        flat_shape.append(flat_shape[-1].transformGeometry(rot))
+    return part.Wire(flat_shape)
+
+
+def fillet_between_edges(edge_1, edge_2, radius, reversed=False):
+    # assuming edges are in a plane
+    # extracting vertices
+    fillet2d_api = part.ChFi2d.FilletAPI()
+    p1 = edge_1.valueAt(edge_1.FirstParameter)
+    p2 = edge_1.valueAt(edge_1.LastParameter)
+    p3 = edge_2.valueAt(edge_2.FirstParameter)
+    p4 = edge_2.valueAt(edge_2.LastParameter)
+    t1 = p2 - p1
+    t2 = p4 - p3
+    n = t1.cross(t2) * (-reversed * 2 + 1)
+    pln = part.Plane(edge_1.valueAt(edge_1.FirstParameter), n)
+    fillet2d_api.init(edge_1, edge_2, pln)
+    if fillet2d_api.perform(radius) > 0:
+        p0 = (p2 + p3) / 2
+        fillet, e1, e2 = fillet2d_api.result(p0)
+        return part.Wire([e1, fillet, e2]).Edges
+    else:
+        return None
+
+
+def insert_fillet(edges, pos, radius, reversed=False):
+    assert pos < (len(edges) - 1)
+    e1 = edges[pos]
+    e2 = edges[pos + 1]
+    if radius > 0:
+        fillet_edges = fillet_between_edges(e1, e2, radius, reversed)
+        if not fillet_edges:
+            raise RuntimeError("fillet not possible")
+    else:
+        fillet_edges = [e1, None, e2]
+    output_edges = []
+    for i, edge in enumerate(edges):
+        if i == pos:
+            output_edges += fillet_edges
+        elif i == (pos + 1):
+            pass
+        else:
+            output_edges.append(edge)
+    return output_edges

freecad/gears/bevelgear.py

@@ -0,0 +1,259 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * This program is distributed in the hope that it will be useful,         *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+# * GNU General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+from freecad import app
+from freecad import part
+
+import numpy as np
+
+from pygears.bevel_tooth import BevelTooth
+from pygears._functions import rotation3D
+
+from .basegear import BaseGear, fcvec, make_bspline_wire
+
+QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
+
+
+class BevelGear(BaseGear):
+    """parameters:
+    pressure_angle:  pressureangle,   10-30°
+    pitch_angle:  cone angle,      0 < pitch_angle < pi/4
+    """
+
+    def __init__(self, obj):
+        super(BevelGear, self).__init__(obj)
+        self.bevel_tooth = BevelTooth()
+        obj.addProperty(
+            "App::PropertyIntegerConstraint",
+            "num_teeth",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "number of teeth"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "height",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "height"),
+        )
+        obj.addProperty(
+            "App::PropertyAngle",
+            "pitch_angle",
+            "involute",
+            QT_TRANSLATE_NOOP("App::Property", "pitch_angle"),
+        )
+        obj.addProperty(
+            "App::PropertyAngle",
+            "pressure_angle",
+            "involute_parameter",
+            QT_TRANSLATE_NOOP("App::Property", "pressure_angle"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "module",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "module"),
+        )
+        obj.addProperty(
+            "App::PropertyFloat",
+            "clearance",
+            "tolerance",
+            QT_TRANSLATE_NOOP("App::Property", "clearance"),
+        )
+        obj.addProperty(
+            "App::PropertyInteger",
+            "numpoints",
+            "precision",
+            QT_TRANSLATE_NOOP("App::Property", "number of points for spline"),
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "reset_origin",
+            "base",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "if value is true the gears outer face will match the z=0 plane",
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "backlash",
+            "tolerance",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "The arc length on the pitch circle by which the tooth thickness is reduced.",
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyPythonObject",
+            "gear",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "test"),
+        )
+        obj.addProperty(
+            "App::PropertyAngle",
+            "beta",
+            "helical",
+            QT_TRANSLATE_NOOP("App::Property", "angle used for spiral bevel-gears"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "dw",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "The pitch diameter."),
+        )
+        obj.setExpression(
+            "dw", "num_teeth * module"
+        )  # calculate via expression to ease usage for placement
+        obj.setEditorMode(
+            "dw", 1
+        )  # set read-only after setting the expression, else it won't be visible. bug?
+        obj.addProperty(
+            "App::PropertyAngle",
+            "angular_backlash",
+            "computed",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "The angle by which this gear can turn without moving the mating gear.",
+            ),
+        )
+        obj.setExpression(
+            "angular_backlash", "backlash / dw * 360° / pi"
+        )  # calculate via expression to ease usage for placement
+        obj.setEditorMode(
+            "angular_backlash", 1
+        )  # set read-only after setting the expression, else it won't be visible. bug?
+
+        obj.gear = self.bevel_tooth
+        obj.module = "1. mm"
+        obj.num_teeth = (15, 3, 10000, 1)  # default, min, max, step
+        obj.pressure_angle = "20. deg"
+        obj.pitch_angle = "45. deg"
+        obj.height = "5. mm"
+        obj.numpoints = 20
+        obj.backlash = "0.00 mm"
+        obj.clearance = 0.1
+        obj.beta = "0 deg"
+        obj.reset_origin = True
+        self.obj = obj
+        obj.Proxy = self
+
+    def generate_gear_shape(self, fp):
+        fp.gear.z = fp.num_teeth
+        fp.gear.module = fp.module.Value
+        fp.gear.pressure_angle = (90 - fp.pressure_angle.Value) * np.pi / 180.0
+        fp.gear.pitch_angle = fp.pitch_angle.Value * np.pi / 180
+        max_height = fp.gear.module * fp.num_teeth / 2 / np.tan(fp.gear.pitch_angle)
+        if fp.height >= max_height:
+            app.Console.PrintWarning(
+                "height must be smaller than {}".format(max_height)
+            )
+        fp.gear.backlash = fp.backlash.Value
+        scale = (
+            fp.module.Value
+            * fp.num_teeth
+            / 2
+            / np.tan(fp.pitch_angle.Value * np.pi / 180)
+        )
+        fp.gear.clearance = fp.clearance / scale
+        fp.gear._update()
+        pts = list(fp.gear.points(num=fp.numpoints))
+        rot = rotation3D(-2 * np.pi / fp.num_teeth)
+        # if fp.beta.Value != 0:
+        #     pts = [np.array([self.spherical_rot(j, fp.beta.Value * np.pi / 180.) for j in i]) for i in pts]
+
+        rotated_pts = pts
+        for i in range(fp.num_teeth - 1):
+            rotated_pts = list(map(rot, rotated_pts))
+            pts.append(np.array([pts[-1][-1], rotated_pts[0][0]]))
+            pts += rotated_pts
+        pts.append(np.array([pts[-1][-1], pts[0][0]]))
+        wires = []
+        if not "version" in fp.PropertiesList:
+            scale_0 = scale - fp.height.Value / 2
+            scale_1 = scale + fp.height.Value / 2
+        else:  # starting with version 0.0.2
+            scale_0 = scale - fp.height.Value
+            scale_1 = scale
+        if fp.beta.Value == 0:
+            wires.append(make_bspline_wire([scale_0 * p for p in pts]))
+            wires.append(make_bspline_wire([scale_1 * p for p in pts]))
+        else:
+            for scale_i in np.linspace(scale_0, scale_1, 20):
+                # beta_i = (scale_i - scale_0) * fp.beta.Value * np.pi / 180
+                # rot = rotation3D(- beta_i)
+                # points = [rot(pt) * scale_i for pt in pts]
+                angle = (
+                    fp.beta.Value
+                    * np.pi
+                    / 180.0
+                    * np.sin(np.pi / 4)
+                    / np.sin(fp.pitch_angle.Value * np.pi / 180.0)
+                )
+                points = [
+                    np.array([self.spherical_rot(p, angle) for p in scale_i * pt])
+                    for pt in pts
+                ]
+                wires.append(make_bspline_wire(points))
+        shape = part.makeLoft(wires, True)
+        if fp.reset_origin:
+            mat = app.Matrix()
+            mat.A33 = -1
+            mat.move(fcvec([0, 0, scale_1]))
+            shape = shape.transformGeometry(mat)
+        return shape
+        # return self.create_teeth(pts, pos1, fp.num_teeth)
+
+    def create_tooth(self):
+        w = []
+        scal1 = (
+            self.obj.m.Value
+            * self.obj.num_teeth
+            / 2
+            / np.tan(self.obj.pitch_angle.Value * np.pi / 180)
+            - self.obj.height.Value / 2
+        )
+        scal2 = (
+            self.obj.m.Value
+            * self.obj.num_teeth
+            / 2
+            / np.tan(self.obj.pitch_angle.Value * np.pi / 180)
+            + self.obj.height.Value / 2
+        )
+        s = [scal1, scal2]
+        pts = self.obj.gear.points(num=self.obj.numpoints)
+        for j, pos in enumerate(s):
+            w1 = []
+
+            def scale(x):
+                return fcvec(x * pos)
+
+            for i in pts:
+                i_scale = list(map(scale, i))
+                w1.append(i_scale)
+            w.append(w1)
+        surfs = []
+        w_t = zip(*w)
+        for i in w_t:
+            b = part.BSplineSurface()
+            b.interpolate(i)
+            surfs.append(b)
+        return part.Shape(surfs)
+
+    def spherical_rot(self, point, phi):
+        new_phi = np.sqrt(np.linalg.norm(point)) * phi
+        return rotation3D(-new_phi)(point)

freecad/gears/chainconnector.py

@@ -0,0 +1,183 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# * *
+# * This file defines the ChainConnector class for stable multi-gear chains. *
+# * *
+# * (GNU GPL Header retained)
+# * *
+# ***************************************************************************
+
+import numpy as np
+from freecad import app
+from pygears import __version__ # FIX: Import __version__
+
+# Import all gear types the chain might connect
+from .involutegear import InvoluteGear
+from .internalinvolutegear import InternalInvoluteGear
+from .cycloidgear import CycloidGear
+
+# Reuse the standard ViewProvider from the original connector.py
+from .connector import ViewProviderGearConnector, GearConnector
+
+QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
+
+class Chain(object):
+    def __init__(self, obj, gear_list):
+        obj.addProperty("App::PropertyLinkList", "gear_list", "GearChain", "list of gears in the chain")
+        obj.addProperty("App::PropertyAngle", "angle", "GearChain", "angle of the first gear")
+        obj.gear_list = gear_list
+        obj.Proxy = self
+        self.obj = obj
+        ViewProviderGearConnector(obj.ViewObject)
+
+        # Create connectors
+        master_gear = gear_list[0]
+        for i, slave_gear in enumerate(gear_list[1:]):
+            if i == 0:
+                connector = app.ActiveDocument.addObject("Part::FeaturePython", "GearConnector")
+                GearConnector(connector, master_gear, slave_gear)
+                connector.angle1 = self.obj.angle
+                self.obj.addProperty("App::PropertyLink", "connector", "GearChain", "main connector")
+                self.obj.connector = connector
+            else:
+                connector = app.ActiveDocument.addObject("Part::FeaturePython", "ChainConnector")
+                ChainConnector(connector, self.obj.connector, slave_gear)
+            master_gear = slave_gear
+
+    def onChanged(self, fp, prop):
+        if prop == 'angle':
+            fp.connector.angle1 = fp.angle
+
+
+class ChainConnector(object):
+    def __init__(self, obj, master_connector, slave_gear):
+        
+        # --- PROPERTY DEFINITIONS ---
+        obj.addProperty("App::PropertyString", "version", "version",
+                        QT_TRANSLATE_NOOP("App::Property", "freecad.gears-version"), 1)
+        obj.addProperty("App::PropertyLink", "input_connector", "GearChain",
+                        QT_TRANSLATE_NOOP("App::Property", "Previous connector in the chain"), 1)
+        obj.addProperty("App::PropertyLink", "master_gear", "GearChain",
+                        QT_TRANSLATE_NOOP("App::Property", "The shared master gear (G2)"), 8) # Read-only link to G2
+        obj.addProperty("App::PropertyLink", "slave_gear", "GearChain",
+                        QT_TRANSLATE_NOOP("App::Property", "The new slave gear (G3)"), 1)
+        obj.addProperty("App::PropertyAngle", "input_gear_angle", "GearChain",
+                        QT_TRANSLATE_NOOP("App::Property", "Calculated rotation angle of the shared gear (G2)"), 8)
+        
+        # FIX 2: Add version property assignment
+        obj.version = __version__
+        obj.input_connector = master_connector
+        obj.slave_gear = slave_gear
+        obj.Proxy = self
+        
+        # CRITICAL FIX: Attach the ViewProvider to ensure visibility
+        ViewProviderGearConnector(obj.ViewObject)
+
+        # 1. Link master_gear (G2) property to the slave_gear of the previous connector (GC1.slave_gear)
+        obj.setExpression('master_gear', f'{master_connector.Name}.slave_gear')
+
+        # 2. Link the input_gear_angle to G2's rotation. This triggers onChanged whenever G2 moves.
+        #    We convert radians (from .Angle) to degrees for consistency, though
+        #    onChanged will convert it back. Or we can just use the raw Angle.
+        obj.setExpression('input_gear_angle', f'{master_connector.Name}.slave_gear.Placement.Rotation.Angle')
+        self.onChanged(obj, 'input_gear_angle')
+
+    def __init__(self, obj, master_connector, slave_gear):
+        
+        # --- PROPERTY DEFINITIONS ---
+        obj.addProperty("App::PropertyString", "version", "version",
+                        QT_TRANSLATE_NOOP("App::Property", "freecad.gears-version"), 1)
+        obj.addProperty("App::PropertyLink", "input_connector", "GearChain",
+                        QT_TRANSLATE_NOOP("App::Property", "Previous connector in the chain"), 1)
+        obj.addProperty("App::PropertyLink", "master_gear", "GearChain",
+                        QT_TRANSLATE_NOOP("App::Property", "The shared master gear (G2)"), 8) # Read-only link to G2
+        obj.addProperty("App::PropertyLink", "slave_gear", "GearChain",
+                        QT_TRANSLATE_NOOP("App::Property", "The new slave gear (G3)"), 1)
+        obj.addProperty("App::PropertyAngle", "input_gear_angle", "GearChain",
+                        QT_TRANSLATE_NOOP("App::Property", "Calculated rotation angle of the shared gear (G2)"), 8)
+        
+        # FIX 2: Add version property assignment
+        obj.version = __version__
+        obj.input_connector = master_connector
+        obj.slave_gear = slave_gear
+        obj.Proxy = self
+        
+        # CRITICAL FIX: Attach the ViewProvider to ensure visibility
+        ViewProviderGearConnector(obj.ViewObject)
+
+        # 1. Link master_gear (G2) property to the slave_gear of the previous connector (GC1.slave_gear)
+        obj.setExpression('master_gear', f'{master_connector.Name}.slave_gear')
+
+        # 2. Link the input_gear_angle to G2's rotation. This triggers onChanged whenever G2 moves.
+        #    We convert radians (from .Angle) to degrees for consistency, though
+        #    onChanged will convert it back. Or we can just use the raw Angle.
+        obj.setExpression('input_gear_angle', f'{master_connector.Name}.slave_gear.Placement.Rotation.Angle')
+
+
+    def onChanged(self, fp, prop):
+        # Only react when the input angle (G2's rotation) or the final slave gear (G3) link changes
+        if prop not in ('input_gear_angle', 'slave_gear'):
+            return
+
+        # Ensure we have both gears before proceeding
+        if fp.master_gear is None or fp.slave_gear is None:
+            return
+
+        # input_gear_angle is linked to Placement.Rotation.Angle, which is in RADIANS
+        master_angle_rad = fp.input_gear_angle.Value
+        master_angle_deg = np.rad2deg(master_angle_rad) # Convert to degrees
+        
+        dw_master = fp.master_gear.pitch_diameter.Value
+        dw_slave = fp.slave_gear.pitch_diameter.Value
+        
+        # --- Involute Gear Pair Logic ---
+        if isinstance(fp.master_gear.Proxy, InvoluteGear) and isinstance(fp.slave_gear.Proxy, InvoluteGear):
+            dist = (dw_master + dw_slave) / 2
+            slave_pos = fp.master_gear.Placement.Base + app.Vector(dist, 0, 0)
+
+            # Kinematics: Calculate slave rotation (opposite direction)
+            angle_slave_deg = -(dw_master / dw_slave) * master_angle_deg
+            
+            # Apply rotation and position to G3 (slave_gear)
+            angle3 = abs(fp.slave_gear.num_teeth % 2 - 1) * 180.0 / fp.slave_gear.num_teeth
+            rot_slave = app.Rotation(app.Vector(0, 0, 1), angle_slave_deg + angle3)
+            
+            fp.slave_gear.Placement = app.Placement(slave_pos, rot_slave)
+            fp.slave_gear.purgeTouched()
+
+        # --- Internal Involute Gear Logic ---
+        elif isinstance(fp.master_gear.Proxy, InternalInvoluteGear) and isinstance(fp.slave_gear.Proxy, InvoluteGear):
+            dist = (dw_master - dw_slave) / 2
+            slave_pos = fp.master_gear.Placement.Base + app.Vector(dist, 0, 0)
+            
+            # Kinematics: Calculate slave rotation (same direction)
+            angle_slave_deg = (dw_master / dw_slave) * master_angle_deg
+            
+            angle3 = abs(fp.slave_gear.num_teeth % 2 - 1) * 180.0 / fp.slave_gear.num_teeth
+            rot_slave = app.Rotation(app.Vector(0, 0, 1), angle_slave_deg + angle3)
+            
+            fp.slave_gear.Placement = app.Placement(slave_pos, rot_slave)
+            fp.slave_gear.purgeTouched()
+
+        # --- Cycloid Gear Pair Logic ---
+        elif isinstance(fp.master_gear.Proxy, CycloidGear) and isinstance(fp.slave_gear.Proxy, CycloidGear):
+            dist = (dw_master + dw_slave) / 2
+            slave_pos = fp.master_gear.Placement.Base + app.Vector(dist, 0, 0)
+
+            # Kinematics: Calculate slave rotation (opposite direction)
+            angle_slave_deg = -(dw_master / dw_slave) * master_angle_deg
+            
+            # Apply rotation and position to G3 (slave_gear)
+            angle3 = abs(fp.slave_gear.num_teeth % 2 - 1) * 180.0 / fp.slave_gear.num_teeth
+            rot_slave = app.Rotation(app.Vector(0, 0, 1), angle_slave_deg + angle3)
+            
+            fp.slave_gear.Placement = app.Placement(slave_pos, rot_slave)
+            fp.slave_gear.purgeTouched()
+
+        # [Add Rack Logic here if chains need to drive racks]
+
+    def execute(self, fp):
+        # When executed, simply trigger the onChanged to use the current expression-linked value
+        self.onChanged(fp, 'input_gear_angle')
+
+

freecad/gears/commands.py

@@ -1,28 +1,46 @@
-#***************************************************************************
+# -*- coding: utf-8 -*-
-#*                                                                         *
+# ***************************************************************************
-#*   This program is free software; you can redistribute it and/or modify  *
+# * *
-#*   it under the terms of the GNU Lesser General Public License (LGPL)    *
+# * This program is free software: you can redistribute it and/or modify    *
-#*   as published by the Free Software Foundation; either version 2 of     *
+# * it under the terms of the GNU General Public License as published by    *
-#*   the License, or (at your option) any later version.                   *
+# * the Free Software Foundation, either version 3 of the License, or       *
-#*   for detail see the LICENCE text file.                                 *
+# * (at your option) any later version.                                     *
-#*                                                                         *
+# * *
-#*   This program is distributed in the hope that it will be useful,       *
+# * This program is distributed in the hope that it will be useful,         *
-#*   but WITHOUT ANY WARRANTY; without even the implied warranty of        *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
-#*   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the         *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
-#*   GNU Library General Public License for more details.                  *
+# * GNU General Public License for more details.                            *
-#*                                                                         *
+# * *
-#*   You should have received a copy of the GNU Library General Public     *
+# * You should have received a copy of the GNU General Public License       *
-#*   License along with this program; if not, write to the Free Software   *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
-#*   Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  *
+# * *
-#*   USA                                                                   *
+# ***************************************************************************
-#*                                                                         *
-#***************************************************************************
 
 import os
-import FreeCAD
+from freecad import app
-import FreeCADGui as Gui
+from freecad import gui
-from .features import ViewProviderGear, involute_gear, involute_gear_rack
+
-from .features import cycloide_gear, bevel_gear, crown_gear
+from .basegear import ViewProviderGear, BaseGear
+
+from .timinggear_t import TimingGearT
+from .involutegear import InvoluteGear
+from .internalinvolutegear import InternalInvoluteGear
+from .involutegearrack import InvoluteGearRack
+from .cycloidgearrack import CycloidGearRack
+from .crowngear import CrownGear
+from .cycloidgear import CycloidGear
+from .bevelgear import BevelGear
+from .wormgear import WormGear
+from .timinggear import TimingGear
+from .lanterngear import LanternGear
+from .hypocycloidgear import HypoCycloidGear
+
+
+# CRITICAL CHANGE: Import both connector types
+from .connector import GearConnector, ViewProviderGearConnector
+from .chainconnector import ChainConnector, Chain 
+
+QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
 
 
 class BaseCommand(object):
@@ -34,61 +52,215 @@ class BaseCommand(object):
         pass
 
     def IsActive(self):
-        if FreeCAD.ActiveDocument is None:
+        if app.ActiveDocument is None:
             return False
         else:
             return True
 
     def Activated(self):
-        Gui.doCommandGui("import freecad.gears.commands")
+        gui.doCommandGui("import freecad.gears.commands")
-        Gui.doCommandGui("freecad.gears.commands.{}.create()".format(self.__class__.__name__))
+        gui.doCommandGui(
-        FreeCAD.ActiveDocument.recompute()
+            "freecad.gears.commands.{}.create()".format(self.__class__.__name__)
-        Gui.SendMsgToActiveView("ViewFit")
+        )
+        app.ActiveDocument.recompute()
+        gui.SendMsgToActiveView("ViewFit")
 
     @classmethod
     def create(cls):
-        obj = FreeCAD.ActiveDocument.addObject("Part::FeaturePython", cls.NAME)
+        if app.GuiUp:
-        cls.GEAR_FUNCTION(obj)
+            # borrowed from threaded profiles
-        ViewProviderGear(obj.ViewObject)
+            # puts the gear into an active container
+            body = gui.ActiveDocument.ActiveView.getActiveObject("pdbody")
+            part = gui.ActiveDocument.ActiveView.getActiveObject("part")
+
+            if body:
+                obj = app.ActiveDocument.addObject(
+                    "PartDesign::FeaturePython", cls.NAME
+                )
+            else:
+                obj = app.ActiveDocument.addObject("Part::FeaturePython", cls.NAME)
+            ViewProviderGear(obj.ViewObject, cls.Pixmap)
+            cls.GEAR_FUNCTION(obj)
+
+            if body:
+                body.addObject(obj)
+            elif part:
+                part.Group += [obj]
+        else:
+            obj = app.ActiveDocument.addObject("Part::FeaturePython", cls.NAME)
+            cls.GEAR_FUNCTION(obj)
         return obj
 
     def GetResources(self):
-        return {'Pixmap': self.Pixmap, 
+        return {
-                'MenuText': self.MenuText, 
+            "Pixmap": self.Pixmap,
-                'ToolTip': self.ToolTip}
+            "MenuText": self.MenuText,
+            "ToolTip": self.ToolTip,
+        }
 
 
 class CreateInvoluteGear(BaseCommand):
     NAME = "InvoluteGear"
-    GEAR_FUNCTION = involute_gear
+    GEAR_FUNCTION = InvoluteGear
-    Pixmap = os.path.join(BaseCommand.ICONDIR, 'involutegear.svg')
+    Pixmap = os.path.join(BaseCommand.ICONDIR, "involutegear.svg")
-    MenuText = 'involute gear'
+    MenuText = QT_TRANSLATE_NOOP("FCGear_InvoluteGear", "Involute Gear")
-    ToolTip = 'involute gear'
+    ToolTip = QT_TRANSLATE_NOOP(
+        "FCGear_InvoluteGear", "Create an external involute gear"
+    )
+
+
+class CreateInternalInvoluteGear(BaseCommand):
+    NAME = "InternalInvoluteGear"
+    GEAR_FUNCTION = InternalInvoluteGear
+    Pixmap = os.path.join(BaseCommand.ICONDIR, "internalinvolutegear.svg")
+    MenuText = QT_TRANSLATE_NOOP(
+        "FCGear_InternalInvoluteGear", "Internal Involute Gear"
+    )
+    ToolTip = QT_TRANSLATE_NOOP(
+        "FCGear_InternalInvoluteGear", "Create an internal involute gear"
+    )
+
 
 class CreateInvoluteRack(BaseCommand):
     NAME = "InvoluteRack"
-    GEAR_FUNCTION = involute_gear_rack
+    GEAR_FUNCTION = InvoluteGearRack
-    Pixmap = os.path.join(BaseCommand.ICONDIR, 'involuterack.svg')
+    Pixmap = os.path.join(BaseCommand.ICONDIR, "involuterack.svg")
-    MenuText = 'involute rack'
+    MenuText = QT_TRANSLATE_NOOP("FCGear_InvoluteRack", "Involute Rack")
-    ToolTip = 'involute rack'
+    ToolTip = QT_TRANSLATE_NOOP("FCGear_InvoluteRack", "Create an Involute rack")
+
+
+class CreateCycloidRack(BaseCommand):
+    NAME = "CycloidRack"
+    GEAR_FUNCTION = CycloidGearRack
+    Pixmap = os.path.join(BaseCommand.ICONDIR, "cycloidrack.svg")
+    MenuText = QT_TRANSLATE_NOOP("FCGear_CycloidRack", "Cycloid Rack")
+    ToolTip = QT_TRANSLATE_NOOP("FCGear_CycloidRack", "Create an Cycloid rack")
+
 
 class CreateCrownGear(BaseCommand):
     NAME = "CrownGear"
-    GEAR_FUNCTION = crown_gear
+    GEAR_FUNCTION = CrownGear
-    Pixmap = os.path.join(BaseCommand.ICONDIR, 'crowngear.svg')
+    Pixmap = os.path.join(BaseCommand.ICONDIR, "crowngear.svg")
-    MenuText = 'crown gear'
+    MenuText = QT_TRANSLATE_NOOP("FCGear_CrownGear", "Crown Gear")
-    ToolTip = 'crown gear'
+    ToolTip = QT_TRANSLATE_NOOP("FCGear_CrownGear", "Create a Crown gear")
 
-class CreateCycloideGear(BaseCommand):
+
+class CreateCycloidGear(BaseCommand):
     NAME = "CycloidGear"
-    GEAR_FUNCTION = cycloide_gear
+    GEAR_FUNCTION = CycloidGear
-    Pixmap = os.path.join(BaseCommand.ICONDIR, 'cycloidegear.svg')
+    Pixmap = os.path.join(BaseCommand.ICONDIR, "cycloidgear.svg")
-    MenuText = 'cycloide gear'
+    MenuText = QT_TRANSLATE_NOOP("FCGear_CycloidGear", "Cycloid Gear")
-    ToolTip = 'cycloide gear'
+    ToolTip = QT_TRANSLATE_NOOP("FCGear_CycloidGear", "Create a Cycloid gear")
+
 
 class CreateBevelGear(BaseCommand):
     NAME = "BevelGear"
-    GEAR_FUNCTION = bevel_gear
+    GEAR_FUNCTION = BevelGear
-    Pixmap = os.path.join(BaseCommand.ICONDIR, 'bevelgear.svg')
+    Pixmap = os.path.join(BaseCommand.ICONDIR, "bevelgear.svg")
-    MenuText = 'bevel gear'
+    MenuText = QT_TRANSLATE_NOOP("FCGear_BevelGear", "Bevel Gear")
-    ToolTip = 'bevel gear'
+    ToolTip = QT_TRANSLATE_NOOP("FCGear_BevelGear", "Create a Bevel gear")
+
+
+class CreateHypoCycloidGear(BaseCommand):
+    NAME = "HypocycloidGear"
+    GEAR_FUNCTION = HypoCycloidGear
+    Pixmap = os.path.join(BaseCommand.ICONDIR, "hypocycloidgear.svg")
+    MenuText = QT_TRANSLATE_NOOP("FCGear_HypoCycloidGear", "HypoCycloid Gear")
+    ToolTip = QT_TRANSLATE_NOOP(
+        "FCGear_HypoCycloidGear", "Create a HypoCycloid gear with its pins"
+    )
+
+
+class CreateWormGear(BaseCommand):
+    NAME = "WormGear"
+    GEAR_FUNCTION = WormGear
+    Pixmap = os.path.join(BaseCommand.ICONDIR, "wormgear.svg")
+    MenuText = QT_TRANSLATE_NOOP("FCGear_WormGear", "Worm Gear")
+    ToolTip = QT_TRANSLATE_NOOP("FCGear_WormGear", "Create a Worm gear")
+
+
+class CreateTimingGearT(BaseCommand):
+    NAME = "TimingGearT"
+    GEAR_FUNCTION = TimingGearT
+    Pixmap = os.path.join(BaseCommand.ICONDIR, "timinggear_t.svg")
+    MenuText = QT_TRANSLATE_NOOP("FCGear_TimingGearT", "Timing Gear T-shape")
+    ToolTip = QT_TRANSLATE_NOOP("FCGear_TimingGearT", "Create a Timing gear T-shape")
+
+
+class CreateTimingGear(BaseCommand):
+    NAME = "TimingGear"
+    GEAR_FUNCTION = TimingGear
+    Pixmap = os.path.join(BaseCommand.ICONDIR, "timinggear.svg")
+    MenuText = QT_TRANSLATE_NOOP("FCGear_TimingGear", "Timing Gear")
+    ToolTip = QT_TRANSLATE_NOOP("FCGear_TimingGear", "Create a Timing gear")
+
+
+class CreateLanternGear(BaseCommand):
+    NAME = "LanternGear"
+    GEAR_FUNCTION = LanternGear
+    Pixmap = os.path.join(BaseCommand.ICONDIR, "lanterngear.svg")
+    MenuText = QT_TRANSLATE_NOOP("FCGear_LanternGear", "Lantern Gear")
+    ToolTip = QT_TRANSLATE_NOOP("FCGear_LanternGear", "Create a Lantern gear")
+
+
+class CreateGearConnector(BaseCommand):
+    NAME = "GearConnector"
+    GEAR_FUNCTION = GearConnector
+    Pixmap = os.path.join(BaseCommand.ICONDIR, "gearconnector.svg")
+    MenuText = QT_TRANSLATE_NOOP("FCGear_GearConnector", "Combine two gears")
+    ToolTip = QT_TRANSLATE_NOOP("FCGear_GearConnector", "Combine two gears")
+
+    def Activated(self):
+        try:
+            selection = gui.Selection.getSelection()
+
+            if len(selection) != 2:
+                raise ValueError(
+                    app.Qt.translate("Log", "Please select two objects (gear+gear or connector+gear).")
+                )
+
+            # Get the proxy types for the two selected objects
+            selection0_proxy = selection[0].Proxy if hasattr(selection[0], 'Proxy') else None
+            selection1_proxy = selection[1].Proxy if hasattr(selection[1], 'Proxy') else None
+            
+            # Identify the parent connector and the new slave gear
+            parent_connector = None
+            slave_gear = None
+
+            # Case 1: Connector (GC1) selected first, Gear (G3) second
+            if isinstance(selection0_proxy, GearConnector) and isinstance(selection1_proxy, BaseGear):
+                parent_connector = selection[0]
+                slave_gear = selection[1]
+            
+            # Case 2: Gear (G3) selected first, Connector (GC1) second
+            elif isinstance(selection1_proxy, GearConnector) and isinstance(selection0_proxy, BaseGear):
+                parent_connector = selection[1]
+                slave_gear = selection[0]
+
+            # --- CRITICAL DECISION POINT ---
+            if parent_connector is not None:
+                # Import the ChainConnector class (we already imported it at the top)
+                
+                # Chain Creation: Create the dedicated ChainConnector
+                obj = app.ActiveDocument.addObject("Part::FeaturePython", "ChainConnector")
+                ChainConnector(obj, parent_connector, slave_gear)
+                ViewProviderGearConnector(obj.ViewObject)
+
+            else:
+                # Standard Creation: Two gears selected (G1 and G2)
+                for obj_sel in selection:
+                    if not isinstance(obj_sel.Proxy, BaseGear):
+                        raise TypeError(
+                            app.Qt.translate("Log", "Selected objects must be gears.")
+                        )
+
+                obj = app.ActiveDocument.addObject("Part::FeaturePython", self.NAME)
+                GearConnector(obj, selection[0], selection[1])
+                ViewProviderGearConnector(obj.ViewObject)
+
+            app.ActiveDocument.recompute()
+            return obj
+        except Exception as e:
+            app.Console.PrintError(f"Error: {str(e)}\n")
+            return None
+

freecad/gears/connector.py

@@ -0,0 +1,391 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# * *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# * *
+# * This program is distributed in the hope that it will be useful,         *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+# * GNU General Public License for more details.                            *
+# * *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# * *
+# ***************************************************************************
+
+import os
+import sys
+import numpy as np
+
+from freecad import app
+
+from pygears import __version__
+from pygears.computation import compute_shifted_gears
+
+from .involutegear import InvoluteGear
+from .internalinvolutegear import InternalInvoluteGear
+from .involutegearrack import InvoluteGearRack
+from .cycloidgear import CycloidGear
+from .cycloidgearrack import CycloidGearRack
+
+QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
+
+
+class ViewProviderGearConnector(object):
+    def __init__(self, vobj, icon_fn=None):
+        # Set this object to the proxy object of the actual view provider
+        vobj.Proxy = self
+        dirname = os.path.dirname(__file__)
+        self.icon_fn = icon_fn or os.path.join(dirname, "icons", "gearconnector.svg")
+
+    def attach(self, vobj):
+        self.vobj = vobj
+
+    def getIcon(self):
+        return self.icon_fn
+
+    if sys.version_info[0] == 3 and sys.version_info[1] >= 11:
+
+        def dumps(self):
+            return {"icon_fn": self.icon_fn}
+
+        def loads(self, state):
+            self.icon_fn = state["icon_fn"]
+    else:
+
+        def __getstate__(self):
+            return {"icon_fn": self.icon_fn}
+
+        def __setstate__(self, state):
+            self.icon_fn = state["icon_fn"]
+
+
+class GearConnector(object):
+    _recomputing = False
+
+    def __init__(self, obj, master_gear, slave_gear):
+        obj.addProperty(
+            "App::PropertyString",
+            "version",
+            "version",
+            QT_TRANSLATE_NOOP("App::Property", "freecad.gears-version"),
+            1,
+        )
+        obj.addProperty(
+            "App::PropertyLink",
+            "master_gear",
+            "gear",
+            QT_TRANSLATE_NOOP("App::Property", "master gear"),
+            1,
+        )
+        obj.addProperty(
+            "App::PropertyLink",
+            "slave_gear",
+            "gear",
+            QT_TRANSLATE_NOOP("App::Property", "slave gear"),
+            1,
+        )
+        obj.addProperty(
+            "App::PropertyAngle",
+            "angle1",
+            "gear",
+            QT_TRANSLATE_NOOP("App::Property", "angle at which second gear is placed"),
+            0,
+        )
+        obj.addProperty(
+            "App::PropertyAngle",
+            "angle2",
+            "gear",
+            QT_TRANSLATE_NOOP("App::Property", "angle at which second gear is placed"),
+            1,
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "master_gear_stationary",
+            "gear",
+            QT_TRANSLATE_NOOP("App::Property", "master gear position is fixed (does not orbit)"),
+            0,
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "slave_gear_stationary",
+            "gear",
+            QT_TRANSLATE_NOOP("App::Property", "slave gear position is fixed (does not orbit)"),
+            0,
+        )
+        obj.version = __version__
+        obj.master_gear = master_gear
+        obj.slave_gear = slave_gear
+        obj.angle1 = 0
+        obj.angle2 = 0
+        obj.master_gear_stationary = True
+        obj.slave_gear_stationary = True
+        obj.Proxy = self
+        
+        # FIX 1: Attach ViewProvider to ensure visibility (fixes grey-out)
+        ViewProviderGearConnector(obj.ViewObject)
+
+
+    def onChanged(self, fp, prop):
+        if self._recomputing:
+            return
+        # Guard: Check if gears are initialized
+        if not hasattr(fp, 'master_gear') or not hasattr(fp, 'slave_gear'):
+            return
+        if fp.master_gear is None or fp.slave_gear is None:
+            return
+
+        # FIX 3: This connector is *always* driven by its angle1 property.
+        # Removing the 'if prop == angle1' check ensures it runs on
+        # manual changes (prop='angle1') AND on document recompute (prop=None).
+        # This provides a stable position for G2, which fixes the chain.
+        master_angle = fp.angle1.Value # Angle in degrees
+            
+        # ====================================================================
+        # INVOLUTE GEAR TO INVOLUTE GEAR
+        # ====================================================================
+        if isinstance(fp.master_gear.Proxy, InvoluteGear) and isinstance(
+            fp.slave_gear.Proxy, InvoluteGear
+        ):
+            angle_master = fp.master_gear.Placement.Rotation.Angle * sum(
+                fp.master_gear.Placement.Rotation.Axis
+            )
+            dw_master = fp.master_gear.pitch_diameter.Value
+            dw_slave = fp.slave_gear.pitch_diameter.Value
+            dist = (dw_master + dw_slave) / 2
+            if fp.master_gear.shift != 0 or fp.slave_gear.shift != 0:
+                dist, alpha_w = compute_shifted_gears(
+                    fp.master_gear.module,
+                    np.deg2rad(fp.master_gear.pressure_angle.Value),
+                    fp.master_gear.num_teeth,
+                    fp.slave_gear.num_teeth,
+                    fp.master_gear.shift,
+                    fp.slave_gear.shift,
+                )
+
+            # Check if we have the stationary properties (for backward compatibility)
+            master_stationary = getattr(fp, 'master_gear_stationary', True)
+            slave_stationary = getattr(fp, 'slave_gear_stationary', False)
+
+            if master_stationary and slave_stationary:
+                # Both gears stay at their positions, only rotate in place
+                slave_position = fp.master_gear.Placement.Base + app.Vector(dist, 0, 0)
+
+                # 1. Rotate G1 (master)
+                rot_master = app.Rotation(app.Vector(0, 0, 1), master_angle)
+                fp.master_gear.Placement = app.Placement(fp.master_gear.Placement.Base, rot_master)
+                fp.master_gear.purgeTouched()
+
+                # 2. Calculate G2 (slave) rotation
+                angle_slave = dw_master / dw_slave * master_angle
+                angle3 = abs(fp.slave_gear.num_teeth % 2 - 1) * 180.0 / fp.slave_gear.num_teeth
+                rot_slave = app.Rotation(app.Vector(0, 0, 1), -angle_slave + angle3)
+                
+                # 3. Set G2's placement. This triggers the ChainConnector via Expression link.
+                fp.slave_gear.Placement = app.Placement(slave_position, rot_slave)
+                fp.slave_gear.purgeTouched()
+
+            elif master_stationary and not slave_stationary:
+                # Original behavior: slave gear orbits around master
+                orbit_angle = fp.angle1.Value
+                slave_rotation_angle = - (dw_master / dw_slave) * orbit_angle
+
+                # Slave gear's local rotation
+                slave_local_rot = app.Rotation(app.Vector(0, 0, 1), slave_rotation_angle)
+
+                # Orbital placement
+                orbit_rot = app.Rotation(app.Vector(0, 0, 1), orbit_angle)
+                orbit_pos = fp.master_gear.Placement.Base + orbit_rot.multVec(app.Vector(dist, 0, 0))
+
+                # Combine orbital placement with local rotation
+                fp.slave_gear.Placement = app.Placement(orbit_pos, orbit_rot * slave_local_rot)
+                fp.slave_gear.purgeTouched()
+
+            elif not master_stationary and slave_stationary:
+                # Master orbits around slave (inverse behavior)
+                orbit_angle = -fp.angle1.Value
+                master_rotation_angle = - (dw_slave / dw_master) * orbit_angle
+
+                # Master gear's local rotation
+                master_local_rot = app.Rotation(app.Vector(0, 0, 1), master_rotation_angle)
+
+                # Orbital placement
+                orbit_rot = app.Rotation(app.Vector(0, 0, 1), orbit_angle)
+                orbit_pos = fp.slave_gear.Placement.Base + orbit_rot.multVec(app.Vector(dist, 0, 0))
+
+                # Combine orbital placement with local rotation
+                fp.master_gear.Placement = app.Placement(orbit_pos, orbit_rot * master_local_rot)
+                fp.master_gear.purgeTouched()
+
+            # else: both not stationary - no action needed
+
+        if isinstance(fp.master_gear.Proxy, InternalInvoluteGear) and isinstance(
+            fp.slave_gear.Proxy, InvoluteGear
+        ):
+            # Internal gear logic remains unchanged
+            angle_master = fp.master_gear.Placement.Rotation.Angle * sum(
+                fp.master_gear.Placement.Rotation.Axis
+            )
+            dw_master = fp.master_gear.pitch_diameter.Value
+            dw_slave = fp.slave_gear.pitch_diameter.Value
+            dist = (dw_master - dw_slave) / 2
+            if fp.master_gear.shift != 0 or fp.slave_gear.shift != 0:
+                dist, alpha_w = compute_shifted_gears(
+                    fp.master_gear.module,
+                    np.deg2rad(fp.master_gear.pressure_angle.Value),
+                    fp.master_gear.num_teeth,
+                    fp.slave_gear.num_teeth,
+                    fp.master_gear.shift,
+                    fp.slave_gear.shift,
+                )
+
+            master_stationary = getattr(fp, 'master_gear_stationary', True)
+            slave_stationary = getattr(fp, 'slave_gear_stationary', False)
+
+            if master_stationary and slave_stationary:
+                slave_position = fp.master_gear.Placement.Base + app.Vector(dist, 0, 0)
+
+                # Master rotates by angle1 
+                rot_master = app.Rotation(app.Vector(0, 0, 1), fp.angle1.Value)
+                fp.master_gear.Placement = app.Placement(fp.master_gear.Placement.Base, rot_master)
+                fp.master_gear.purgeTouched()
+
+                # Slave gets positioned at correct distance and rotates based on gear ratio 
+                angle_slave = -dw_master / dw_slave * fp.angle1.Value
+                angle3 = abs(fp.slave_gear.num_teeth % 2 - 1) * 180.0 / fp.slave_gear.num_teeth
+                rot_slave = app.Rotation(app.Vector(0, 0, 1), -angle_slave + angle3)
+                fp.slave_gear.Placement = app.Placement(slave_position, rot_slave)
+                fp.slave_gear.purgeTouched()
+
+            elif master_stationary and not slave_stationary:
+                mat0 = app.Matrix()  # unity matrix
+                trans = app.Vector(dist)
+                mat0.move(trans)
+                rot = app.Rotation(app.Vector(0, 0, 1), fp.angle1).toMatrix()
+                angle2 = -dw_master / dw_slave * fp.angle1.Value
+                angle4 = -dw_master / dw_slave * np.rad2deg(angle_master)
+                rot2 = app.Rotation(app.Vector(0, 0, 1), angle2).toMatrix()
+                angle3 = abs(fp.slave_gear.num_teeth % 2 - 1) * 180.0 / fp.slave_gear.num_teeth
+                rot3 = app.Rotation(app.Vector(0, 0, 1), angle3).toMatrix()
+                rot4 = app.Rotation(app.Vector(0, 0, 1), -angle4).toMatrix()
+                mat1 = rot * mat0 * rot2 * rot3 * rot4
+                mat1.move(fp.master_gear.Placement.Base)
+                fp.slave_gear.Placement = mat1
+                fp.slave_gear.purgeTouched()
+
+            elif not master_stationary and slave_stationary:
+                mat0 = app.Matrix()  # unity matrix
+                trans = app.Vector(dist)
+                mat0.move(trans)
+                rot = app.Rotation(app.Vector(0, 0, 1), -fp.angle1).toMatrix()
+                angle2 = -dw_slave / dw_master * fp.angle1.Value
+                angle_slave = fp.slave_gear.Placement.Rotation.Angle * sum(
+                    fp.slave_gear.Placement.Rotation.Axis
+                )
+                angle4 = -dw_slave / dw_master * np.rad2deg(angle_slave)
+                rot2 = app.Rotation(app.Vector(0, 0, 1), angle2).toMatrix()
+                rot4 = app.Rotation(app.Vector(0, 0, 1), -angle4).toMatrix()
+                mat1 = rot * mat0 * rot2 * rot4
+                mat1.move(fp.slave_gear.Placement.Base)
+                fp.master_gear.Placement = mat1
+                fp.master_gear.purgeTouched()
+
+        if (
+            isinstance(fp.master_gear.Proxy, InvoluteGear)
+            and isinstance(fp.slave_gear.Proxy, InvoluteGearRack)
+        ) or (
+            isinstance(fp.master_gear.Proxy, CycloidGear)
+            and isinstance(fp.slave_gear.Proxy, CycloidGearRack)
+        ):
+            # Rack gear logic remains unchanged
+            angle_master = fp.master_gear.Placement.Rotation.Angle * sum(
+                fp.master_gear.Placement.Rotation.Axis
+            )
+            dw_master = fp.master_gear.pitch_diameter.Value
+            dw_slave = 0
+            dist = -(dw_master + dw_slave) / 2
+            mat0 = app.Matrix()  # unity matrix
+            mat0.move(app.Vector(dist, 0, 0))
+            mat1 = app.Matrix()
+            mat1.move(app.Vector(0, np.deg2rad(fp.angle1.Value) * dw_master / 2, 0))
+            mat2 = app.Matrix()
+            mat2.move(app.Vector(0, -np.deg2rad(fp.angle2.Value) * dw_master / 2, 0))
+            rot = app.Rotation(app.Vector(0, 0, 1), fp.angle1).toMatrix()
+            mat3 = rot * mat2 * mat1 * mat0
+            mat3.move(fp.master_gear.Placement.Base)
+            fp.slave_gear.Placement = mat3
+            fp.slave_gear.purgeTouched()
+
+        if isinstance(fp.master_gear.Proxy, CycloidGear) and isinstance(
+            fp.slave_gear.Proxy, CycloidGear
+        ):
+            # Cycloid logic remains unchanged
+            angle_master = fp.master_gear.Placement.Rotation.Angle * sum(
+                fp.master_gear.Placement.Rotation.Axis
+            )
+            dw_master = fp.master_gear.pitch_diameter.Value
+            dw_slave = fp.slave_gear.pitch_diameter.Value
+            dist = (dw_master + dw_slave) / 2
+
+            master_stationary = getattr(fp, 'master_gear_stationary', True)
+            slave_stationary = getattr(fp, 'slave_gear_stationary', False)
+
+            if master_stationary and slave_stationary:
+                slave_position = fp.master_gear.Placement.Base + app.Vector(dist, 0, 0)
+
+                # Master rotates by angle1
+                rot_master = app.Rotation(app.Vector(0, 0, 1), fp.angle1.Value)
+                fp.master_gear.Placement = app.Placement(fp.master_gear.Placement.Base, rot_master)
+                fp.master_gear.purgeTouched()
+
+                # Slave gets positioned at correct distance and rotates based on gear ratio
+                angle_slave = dw_master / dw_slave * fp.angle1.Value
+                angle3 = abs(fp.slave_gear.num_teeth % 2 - 1) * 180.0 / fp.slave_gear.num_teeth
+                rot_slave = app.Rotation(app.Vector(0, 0, 1), -angle_slave + angle3)
+                fp.slave_gear.Placement = app.Placement(slave_position, rot_slave)
+                fp.slave_gear.purgeTouched()
+
+            elif master_stationary and not slave_stationary:
+                mat0 = app.Matrix()  # unity matrix
+                trans = app.Vector(dist, 0, 0)
+                mat0.move(trans)
+                rot = app.Rotation(app.Vector(0, 0, 1), fp.angle1).toMatrix()
+                angle2 = dw_master / dw_slave * fp.angle1.Value
+                angle4 = dw_master / dw_slave * np.rad2deg(angle_master)
+                rot2 = app.Rotation(app.Vector(0, 0, 1), angle2).toMatrix()
+                angle3 = abs(fp.slave_gear.num_teeth % 2 - 1) * 180.0 / fp.slave_gear.num_teeth
+                rot3 = app.Rotation(app.Vector(0, 0, 1), angle3).toMatrix()
+                rot4 = app.Rotation(app.Vector(0, 0, 1), -angle4).toMatrix()
+                mat1 = rot * mat0 * rot2 * rot3 * rot4
+                mat1.move(fp.master_gear.Placement.Base)
+                fp.slave_gear.Placement = mat1
+                fp.slave_gear.purgeTouched()
+
+            elif not master_stationary and slave_stationary:
+                mat0 = app.Matrix()  # unity matrix
+                trans = app.Vector(dist, 0, 0)
+                mat0.move(trans)
+                rot = app.Rotation(app.Vector(0, 0, 1), -fp.angle1).toMatrix()
+                angle2 = -dw_slave / dw_master * fp.angle1.Value  # master's rotation based on orbital motion
+                angle_slave = fp.slave_gear.Placement.Rotation.Angle * sum(
+                    fp.slave_gear.Placement.Rotation.Axis
+                )
+                angle4 = -dw_slave / dw_master * np.rad2deg(angle_slave)
+                rot2 = app.Rotation(app.Vector(0, 0, 1), angle2).toMatrix()
+                rot4 = app.Rotation(app.Vector(0, 0, 1), -angle4).toMatrix()
+                mat1 = rot * mat0 * rot2 * rot4
+                mat1.move(fp.slave_gear.Placement.Base)
+                fp.master_gear.Placement = mat1
+                fp.master_gear.purgeTouched()
+        self._recomputing = True
+        app.ActiveDocument.recompute()
+        self._recomputing = False
+
+    def execute(self, fp):
+        # We pass 'angle1' here to ensure the logic runs,
+        # as the 'prop' check was removed.
+        self.onChanged(fp, 'angle1')
+

freecad/gears/crowngear.py

@@ -0,0 +1,176 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * This program is distributed in the hope that it will be useful,         *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+# * GNU General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+
+import numpy as np
+
+from freecad import app
+from freecad import part
+
+from .basegear import BaseGear, fcvec
+
+QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
+
+
+class CrownGear(BaseGear):
+    """
+    A crown gear (also known as a face gear or a contrate gear) is a gear
+    which has teeth that project at right angles to the face of the wheel.
+    In particular, a crown gear is a type of bevel gear where the pitch cone
+    angle is 90 degrees. https://en.wikipedia.org/wiki/Crown_gear
+    """
+
+    def __init__(self, obj):
+        super(CrownGear, self).__init__(obj)
+        obj.addProperty(
+            "App::PropertyIntegerConstraint",
+            "num_teeth",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "number of teeth"),
+        )
+        obj.addProperty(
+            "App::PropertyIntegerConstraint",
+            "other_teeth",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "number of teeth of other gear"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "module",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "module"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "height",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "height"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "thickness",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "thickness"),
+        )
+        obj.addProperty(
+            "App::PropertyAngle",
+            "pressure_angle",
+            "involute",
+            QT_TRANSLATE_NOOP("App::Property", "pressure angle"),
+        )
+        self.add_accuracy_properties(obj)
+        obj.num_teeth = (15, 3, 10000, 1)  # default, min, max, step
+        obj.other_teeth = (15, 3, 10000, 1)  # default, min, max, step
+        obj.module = "1. mm"
+        obj.pressure_angle = "20. deg"
+        obj.height = "2. mm"
+        obj.thickness = "5 mm"
+        obj.num_profiles = 4
+        obj.preview_mode = True
+        self.obj = obj
+        obj.Proxy = self
+
+        app.Console.PrintMessage(
+            app.Qt.translate(
+                "Log",
+                "Gear module: Crown gear created, preview_mode = true for improved performance. "
+                "Set preview_mode property to false when ready to cut teeth.",
+            )
+        )
+
+    def add_accuracy_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyInteger",
+            "num_profiles",
+            "accuracy",
+            QT_TRANSLATE_NOOP("App::Property", "number of profiles used for loft"),
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "preview_mode",
+            "accuracy",
+            QT_TRANSLATE_NOOP("App::Property", "if true no boolean operation is done"),
+        )
+
+    def profile(self, m, r, r0, t_c, t_i, alpha_w, y0, y1, y2):
+        r_ew = m * t_i / 2
+
+        # 1: modifizierter Waelzkreisdurchmesser:
+        r_e = r / r0 * r_ew
+
+        # 2: modifizierter Schraegungswinkel:
+        alpha = np.arccos(r0 / r * np.cos(alpha_w))
+
+        # 3: winkel phi bei senkrechter stellung eines zahns:
+        phi = np.pi / t_i / 2 + (alpha - alpha_w) + (np.tan(alpha_w) - np.tan(alpha))
+
+        # 4: Position des Eingriffspunktes:
+        x_c = r_e * np.sin(phi)
+        dy = -r_e * np.cos(phi) + r_ew
+
+        # 5: oberer Punkt:
+        b = y1 - dy
+        a = np.tan(alpha) * b
+        x1 = a + x_c
+
+        # 6: unterer Punkt
+        d = y2 + dy
+        c = np.tan(alpha) * d
+        x2 = x_c - c
+
+        r *= np.cos(phi)
+        pts = [[-x1, r, y0], [-x2, r, y0 - y1 - y2], [x2, r, y0 - y1 - y2], [x1, r, y0]]
+        pts.append(pts[0])
+        return pts
+
+    def generate_gear_shape(self, fp):
+        inner_diameter = fp.module.Value * fp.num_teeth
+        outer_diameter = inner_diameter + fp.height.Value * 2
+        inner_circle = part.Wire(part.makeCircle(inner_diameter / 2.0))
+        outer_circle = part.Wire(part.makeCircle(outer_diameter / 2.0))
+        inner_circle.reverse()
+        face = part.Face([outer_circle, inner_circle])
+        solid = face.extrude(app.Vector([0.0, 0.0, -fp.thickness.Value]))
+        if fp.preview_mode:
+            return solid
+
+        # cutting obj
+        alpha_w = np.deg2rad(fp.pressure_angle.Value)
+        m = fp.module.Value
+        t = fp.num_teeth
+        t_c = t
+        t_i = fp.other_teeth
+        rm = inner_diameter / 2
+        y0 = m * 0.5
+        y1 = m + y0
+        y2 = m
+        r0 = inner_diameter / 2 - fp.height.Value * 0.1
+        r1 = outer_diameter / 2 + fp.height.Value * 0.3
+        polies = []
+        for r_i in np.linspace(r0, r1, fp.num_profiles):
+            pts = self.profile(m, r_i, rm, t_c, t_i, alpha_w, y0, y1, y2)
+            poly = part.Wire(part.makePolygon(list(map(fcvec, pts))))
+            polies.append(poly)
+        loft = part.makeLoft(polies, True)
+        rot = app.Matrix()
+        rot.rotateZ(2 * np.pi / t)
+        cut_shapes = []
+        for _ in range(t):
+            loft = loft.transformGeometry(rot)
+            cut_shapes.append(loft)
+        return solid.cut(cut_shapes)

freecad/gears/cycloidgear.py

@@ -0,0 +1,284 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * This program is distributed in the hope that it will be useful,         *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+# * GNU General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+from freecad import app
+from freecad import part
+
+import numpy as np
+from pygears.cycloid_tooth import CycloidTooth
+from pygears._functions import rotation
+
+from .basegear import (
+    BaseGear,
+    points_to_wire,
+    insert_fillet,
+    helical_extrusion,
+    rotate_tooth,
+)
+
+QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
+
+
+class CycloidGear(BaseGear):
+    """FreeCAD gear"""
+
+    def __init__(self, obj):
+        super(CycloidGear, self).__init__(obj)
+        self.cycloid_tooth = CycloidTooth()
+        obj.addProperty(
+            "App::PropertyIntegerConstraint",
+            "num_teeth",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "number of teeth"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "module",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "module"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "height",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "height"),
+        )
+        obj.addProperty(
+            "App::PropertyInteger",
+            "numpoints",
+            "accuracy",
+            QT_TRANSLATE_NOOP("App::Property", "number of points for spline"),
+        )
+        obj.addProperty(
+            "App::PropertyPythonObject",
+            "gear",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "the python object"),
+        )
+
+        self.add_helical_properties(obj)
+        self.add_fillet_properties(obj)
+        self.add_tolerance_properties(obj)
+        self.add_cycloid_properties(obj)
+        self.add_computed_properties(obj)
+        obj.gear = self.cycloid_tooth
+        obj.num_teeth = (15, 3, 10000, 1)  # default, min, max, step
+        obj.module = "1. mm"
+        obj.setExpression(
+            "inner_diameter", "num_teeth / 2"
+        )  # num_teeth/2 makes the hypocycloid a straight line to the center
+        obj.outer_diameter = 7.5  # we don't know the mating gear, so we just set the default to mesh with our default
+        obj.helix_angle = "0. deg"
+        obj.height = "5. mm"
+        obj.clearance = 0.25
+        obj.numpoints = 20
+        obj.backlash = "0.00 mm"
+        obj.double_helix = False
+        obj.head = 0
+        obj.head_fillet = 0
+        obj.root_fillet = 0
+        obj.Proxy = self
+
+    def onDocumentRestored(self, obj):
+        """  
+        backward compatibility functions
+        """
+        if hasattr(obj, "dw"):
+            pitch_diameter = getattr(obj, "dw")
+            obj.addProperty(
+                "App::PropertyLength",
+                "pitch_diameter",
+                "computed",
+                QT_TRANSLATE_NOOP("App::Property", "The pitch diameter."),
+                1,
+            )
+            obj.pitch_diameter = pitch_diameter
+            obj.removeProperty("dw")
+            obj.setExpression(
+                "angular_backlash", "backlash / pitch_diameter * 360° / pi"
+            )
+
+        # replace beta with helix_angle
+        if hasattr(obj, "beta"):
+            helix_angle = getattr(obj, "beta")
+            obj.addProperty(
+                "App::PropertyAngle",
+                "helix_angle",
+                "helical",
+                QT_TRANSLATE_NOOP("App::Property", "helix angle"),
+            )
+            obj.helix_angle = helix_angle
+            obj.removeProperty("beta")
+
+    def add_helical_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyBool",
+            "double_helix",
+            "helical",
+            QT_TRANSLATE_NOOP("App::Property", "double helix"),
+        )
+        obj.addProperty(
+            "App::PropertyAngle",
+            "helix_angle",
+            "helical",
+            QT_TRANSLATE_NOOP("App::Property", "helix angle"),
+        )
+
+    def add_fillet_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyFloatConstraint",
+            "head_fillet",
+            "fillets",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "a fillet for the tooth-head, radius = head_fillet x module",
+            ),
+        ).head_fillet = (0.0, 0.0, 1000.0, 0.01)
+        obj.addProperty(
+            "App::PropertyFloatConstraint",
+            "root_fillet",
+            "fillets",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "a fillet for the tooth-root, radius = root_fillet x module",
+            ),
+        ).root_fillet = (0.0, 0.0, 1000.0, 0.01)
+
+    def add_tolerance_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyFloat",
+            "clearance",
+            "tolerance",
+            QT_TRANSLATE_NOOP("App::Property", "clearance"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "backlash",
+            "tolerance",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "The arc length on the pitch circle by which the tooth thickness is reduced.",
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyFloat",
+            "head",
+            "tolerance",
+            QT_TRANSLATE_NOOP(
+                "App::Property", "head_value * module_value = additional length of head"
+            ),
+        )
+
+    def add_cycloid_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyFloat",
+            "inner_diameter",
+            "cycloid",
+            QT_TRANSLATE_NOOP(
+                "App::Property", "inner_diameter divided by module (hypocycloid)"
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyFloat",
+            "outer_diameter",
+            "cycloid",
+            QT_TRANSLATE_NOOP(
+                "App::Property", "outer_diameter divided by module (epicycloid)"
+            ),
+        )
+
+    def add_computed_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyLength",
+            "pitch_diameter",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "The pitch diameter."),
+        )
+        obj.setExpression(
+            "pitch_diameter", "num_teeth * module"
+        )  # calculate via expression to ease usage for placement
+        obj.setEditorMode(
+            "pitch_diameter", 1
+        )  # set read-only after setting the expression, else it won't be visible. bug?
+        obj.addProperty(
+            "App::PropertyAngle",
+            "angular_backlash",
+            "computed",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "The angle by which this gear can turn without moving the mating gear.",
+            ),
+        )
+        obj.setExpression(
+            "angular_backlash", "backlash / pitch_diameter * 360° / pi"
+        )  # calculate via expression to ease usage for placement
+        obj.setEditorMode(
+            "angular_backlash", 1
+        )  # set read-only after setting the expression, else it won't be visible. bug?
+
+    def generate_gear_shape(self, fp):
+        fp.gear.num_teeth = fp.num_teeth
+        fp.gear.m = fp.module.Value
+        fp.pitch_diameter = fp.module * fp.num_teeth
+        fp.gear.num_teeth_1 = fp.inner_diameter
+        fp.gear.num_teeth_2 = fp.outer_diameter
+        fp.gear.clearance = fp.clearance
+        fp.gear.head = fp.head
+        fp.gear.backlash = fp.backlash.Value
+        fp.gear._update()
+
+        pts = fp.gear.points(num=fp.numpoints)
+        rot = rotation(fp.gear.phipart)
+        rotated_pts = list(map(rot, pts))
+        pts.append([pts[-1][-1], rotated_pts[0][0]])
+        pts += rotated_pts
+        tooth = points_to_wire(pts)
+        edges = tooth.Edges
+
+        r_head = float(fp.head_fillet * fp.module)
+        r_root = float(fp.root_fillet * fp.module)
+
+        pos_head = [0, 2, 6]
+        pos_root = [4, 6]
+        edge_range = [1, 9]
+
+        for pos in pos_head:
+            edges = insert_fillet(edges, pos, r_head)
+
+        for pos in pos_root:
+            edges = insert_fillet(edges, pos, r_root)
+
+        edges = edges[edge_range[0] : edge_range[1]]
+        edges = [e for e in edges if e is not None]
+
+        tooth = part.Wire(edges)
+
+        profile = rotate_tooth(tooth, fp.num_teeth)
+        if fp.height.Value == 0:
+            return profile
+        base = part.Face(profile)
+        if fp.helix_angle.Value == 0:
+            return base.extrude(app.Vector(0, 0, fp.height.Value))
+        else:
+            beta = fp.helix_angle.Value * np.pi / 180
+            twist_angle = (
+                fp.height.Value * np.tan(beta) * 2 / fp.gear.d
+            )
+            return helical_extrusion(
+                base, fp.height.Value, twist_angle, fp.double_helix
+            )

freecad/gears/cycloidgearrack.py

@@ -0,0 +1,291 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * This program is distributed in the hope that it will be useful,         *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+# * GNU General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+import os
+import sys
+
+from freecad import app
+from freecad import part
+
+import numpy as np
+
+from pygears._functions import reflection
+from .basegear import BaseGear, fcvec, points_to_wire, insert_fillet
+
+QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
+
+
+class CycloidGearRack(BaseGear):
+    """FreeCAD gear rack"""
+
+    def __init__(self, obj):
+        super(CycloidGearRack, self).__init__(obj)
+        obj.addProperty(
+            "App::PropertyIntegerConstraint",
+            "num_teeth",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "number of teeth"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "height",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "height"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "thickness",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "thickness"),
+        )
+        obj.addProperty("App::PropertyLength", "module", "involute", "module")
+        obj.addProperty(
+            "App::PropertyBool",
+            "simplified",
+            "precision",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "if enabled the rack is drawn with a constant number of teeth to avoid topologic renaming.",
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyInteger",
+            "numpoints",
+            "accuracy",
+            QT_TRANSLATE_NOOP("App::Property", "number of points for spline"),
+        )
+        obj.addProperty(
+            "App::PropertyPythonObject",
+            "rack",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "test"),
+        )
+
+        self.add_helical_properties(obj)
+        self.add_computed_properties(obj)
+        self.add_tolerance_properties(obj)
+        self.add_cycloid_properties(obj)
+        self.add_fillet_properties(obj)
+        obj.num_teeth = (15, 3, 10000, 1)  # default, min, max, step
+        obj.module = "1. mm"
+        obj.inner_diameter = 7.5
+        obj.outer_diameter = 7.5
+        obj.height = "5. mm"
+        obj.thickness = "5 mm"
+        obj.helix_angle = "0. deg"
+        obj.clearance = 0.25
+        obj.head = 0.0
+        obj.add_endings = True
+        obj.simplified = False
+        obj.numpoints = 15
+        self.obj = obj
+        obj.Proxy = self
+
+    def onDocumentRestored(self, obj):
+        """  
+        backward compatibility functions
+        """
+        # replace beta with helix_angle
+        if hasattr(obj, "beta"):
+            helix_angle = getattr(obj, "beta")
+            obj.addProperty(
+                "App::PropertyAngle",
+                "helix_angle",
+                "helical",
+                QT_TRANSLATE_NOOP("App::Property", "helix angle"),
+            )
+            obj.helix_angle = helix_angle
+            obj.removeProperty("beta")
+
+    def add_helical_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyAngle",
+            "helix_angle",
+            "helical",
+            QT_TRANSLATE_NOOP("App::Property", "helix angle"),
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "double_helix",
+            "helical",
+            QT_TRANSLATE_NOOP("App::Property", "double helix"),
+        )
+
+    def add_computed_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyLength",
+            "transverse_pitch",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "pitch in the transverse plane"),
+            1,
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "add_endings",
+            "base",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "if enabled the total length of the rack is teeth x pitch, otherwise the rack starts with a tooth-flank",
+            ),
+        )
+
+    def add_tolerance_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyFloat",
+            "head",
+            "tolerance",
+            QT_TRANSLATE_NOOP(
+                "App::Property", "head * module = additional length of head"
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyFloat",
+            "clearance",
+            "tolerance",
+            QT_TRANSLATE_NOOP(
+                "App::Property", "clearance * module = additional length of root"
+            ),
+        )
+
+    def add_cycloid_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyFloat",
+            "inner_diameter",
+            "cycloid",
+            QT_TRANSLATE_NOOP(
+                "App::Property", "inner_diameter divided by module (hypocycloid)"
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyFloat",
+            "outer_diameter",
+            "cycloid",
+            QT_TRANSLATE_NOOP(
+                "App::Property", "outer_diameter divided by module (epicycloid)"
+            ),
+        )
+
+    def add_fillet_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyFloatConstraint",
+            "head_fillet",
+            "fillets",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "a fillet for the tooth-head, radius = head_fillet x module",
+            ),
+        ).head_fillet = (0.0, 0.0, 1000.0, 0.01)
+        obj.addProperty(
+            "App::PropertyFloatConstraint",
+            "root_fillet",
+            "fillets",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "a fillet for the tooth-root, radius = root_fillet x module",
+            ),
+        ).root_fillet = (0.0, 0.0, 1000.0, 0.01)
+
+    def generate_gear_shape(self, obj):
+        numpoints = obj.numpoints
+        m = obj.module.Value
+        t = obj.thickness.Value
+        r_i = obj.inner_diameter / 2 * m
+        r_o = obj.outer_diameter / 2 * m
+        c = obj.clearance
+        h = obj.head
+        head_fillet = obj.head_fillet
+        root_fillet = obj.root_fillet
+        phi_i_end = np.arccos(1 - m / r_i * (1 + c))
+        phi_o_end = np.arccos(1 - m / r_o * (1 + h))
+        phi_i = np.linspace(phi_i_end, 0, numpoints)
+        phi_o = np.linspace(0, phi_o_end, numpoints)
+        y_i = r_i * (np.cos(phi_i) - 1)
+        y_o = r_o * (1 - np.cos(phi_o))
+        x_i = r_i * (np.sin(phi_i) - phi_i) - m * np.pi / 4
+        x_o = r_o * (phi_o - np.sin(phi_o)) - m * np.pi / 4
+        x = x_i.tolist()[:-1] + x_o.tolist()
+        y = y_i.tolist()[:-1] + y_o.tolist()
+        points = np.array([y, x]).T
+        mirror = reflection(0)
+        points_1 = mirror(points)[::-1]
+        line_1 = [points[-1], points_1[0]]
+        line_2 = [points_1[-1], np.array([-(1 + c) * m, m * np.pi / 2])]
+        line_0 = [np.array([-(1 + c) * m, -m * np.pi / 2]), points[0]]
+        tooth = points_to_wire([line_0, points, line_1, points_1, line_2])
+
+        edges = tooth.Edges
+        edges = insert_fillet(edges, 0, m * root_fillet)
+        edges = insert_fillet(edges, 2, m * head_fillet)
+        edges = insert_fillet(edges, 4, m * head_fillet)
+        edges = insert_fillet(edges, 6, m * root_fillet)
+
+        tooth_edges = [e for e in edges if e is not None]
+        p_end = np.array(tooth_edges[-2].lastVertex().Point[:-1])
+        p_start = np.array(tooth_edges[1].firstVertex().Point[:-1])
+        p_start += np.array([0, np.pi * m])
+        edge = points_to_wire([[p_end, p_start]]).Edges
+        tooth = part.Wire(tooth_edges[1:-1] + edge)
+        teeth = [tooth]
+
+        for i in range(obj.num_teeth - 1):
+            tooth = tooth.copy()
+            tooth.translate(app.Vector(0, np.pi * m, 0))
+            teeth.append(tooth)
+
+        teeth[-1] = part.Wire(teeth[-1].Edges[:-1])
+
+        if obj.add_endings:
+            teeth = [part.Wire(tooth_edges[0])] + teeth
+            last_edge = tooth_edges[-1]
+            last_edge.translate(app.Vector(0, np.pi * m * (obj.num_teeth - 1), 0))
+            teeth = teeth + [part.Wire(last_edge)]
+
+        p_start = np.array(teeth[0].Edges[0].firstVertex().Point[:-1])
+        p_end = np.array(teeth[-1].Edges[-1].lastVertex().Point[:-1])
+        p_start_1 = p_start - np.array([obj.thickness.Value, 0.0])
+        p_end_1 = p_end - np.array([obj.thickness.Value, 0.0])
+
+        line6 = [p_start, p_start_1]
+        line7 = [p_start_1, p_end_1]
+        line8 = [p_end_1, p_end]
+
+        bottom = points_to_wire([line6, line7, line8])
+
+        pol = part.Wire([bottom] + teeth)
+
+        if obj.height.Value == 0:
+            return pol
+        elif obj.helix_angle.Value == 0:
+            face = part.Face(part.Wire(pol))
+            return face.extrude(fcvec([0.0, 0.0, obj.height.Value]))
+        elif obj.double_helix:
+            beta = obj.helix_angle.Value * np.pi / 180.0
+            pol2 = part.Wire(pol)
+            pol2.translate(
+                fcvec([0.0, np.tan(beta) * obj.height.Value / 2, obj.height.Value / 2])
+            )
+            pol3 = part.Wire(pol)
+            pol3.translate(fcvec([0.0, 0.0, obj.height.Value]))
+            return part.makeLoft([pol, pol2, pol3], True, True)
+        else:
+            beta = obj.helix_angle.Value * np.pi / 180.0
+            pol2 = part.Wire(pol)
+            pol2.translate(
+                fcvec([0.0, np.tan(beta) * obj.height.Value, obj.height.Value])
+            )
+            return part.makeLoft([pol, pol2], True)

freecad/gears/features.py

@@ -1,611 +1,37 @@
 # -*- coding: utf-8 -*-
-#***************************************************************************
+# ***************************************************************************
-#*                                                                         *
+# *                                                                         *
-#*   This program is free software; you can redistribute it and/or modify  *
+# * This program is free software: you can redistribute it and/or modify    *
-#*   it under the terms of the GNU Lesser General Public License (LGPL)    *
+# * it under the terms of the GNU General Public License as published by    *
-#*   as published by the Free Software Foundation; either version 2 of     *
+# * the Free Software Foundation, either version 3 of the License, or       *
-#*   the License, or (at your option) any later version.                   *
+# * (at your option) any later version.                                     *
-#*   for detail see the LICENCE text file.                                 *
+# *                                                                         *
-#*                                                                         *
+# * This program is distributed in the hope that it will be useful,         *
-#*   This program is distributed in the hope that it will be useful,       *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
-#*   but WITHOUT ANY WARRANTY; without even the implied warranty of        *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
-#*   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the         *
+# * GNU General Public License for more details.                            *
-#*   GNU Library General Public License for more details.                  *
+# *                                                                         *
-#*                                                                         *
+# * You should have received a copy of the GNU General Public License       *
-#*   You should have received a copy of the GNU Library General Public     *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
-#*   License along with this program; if not, write to the Free Software   *
+# *                                                                         *
-#*   Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  *
+# ***************************************************************************
-#*   USA                                                                   *
+
-#*                                                                         *
+
-#***************************************************************************
+# this file is only for backwards compatibility, and will be deleted in the future
-
+
-from __future__ import division
+from freecad import app
-import os
+
-
+app.Console.PrintWarning(f"{__file__} is deprecated, just saving this file again should fix this warning")
-import numpy as np
+
-from pygears.involute_tooth import involute_tooth, involute_rack
+from .timinggear_t import TimingGearT
-from pygears.cycloide_tooth import cycloide_tooth
+from .involutegear import InvoluteGear
-from pygears.bevel_tooth import bevel_tooth
+from .internalinvolutegear import InternalInvoluteGear
-from pygears._functions import rotation3D, rotation
+from .involutegearrack import InvoluteGearRack
-
+from .cycloidgearrack import CycloidGearRack
-
+from .crowngear import CrownGear
-import FreeCAD as App
+from .cycloidgear import CycloidGear
-import Part
+from .bevelgear import BevelGear
-from Part import BSplineCurve, Shape, Wire, Face, makePolygon, \
+from .wormgear import WormGear
-    BRepOffsetAPI, Shell, makeLoft, Solid, Line, BSplineSurface, makeCompound,\
+from .timinggear import TimingGear
-    show, makePolygon, makeHelix, makeShell, makeSolid
+from .lanterngear import LanternGear
-
+from .basegear import ViewProviderGear, BaseGear
-
-
-
-__all__=["involute_gear",
-         "cycloide_gear",
-         "bevel_gear", 
-         "involute_gear_rack",
-         "ViewProviderGear"]
-
-def fcvec(x):
-    if len(x) == 2:
-        return(App.Vector(x[0], x[1], 0))
-    else:
-        return(App.Vector(x[0], x[1], x[2]))
-
-class ViewProviderGear(object):
-    def __init__(self, obj):
-        ''' Set this object to the proxy object of the actual view provider '''
-        obj.Proxy = self
-
-    def attach(self, vobj):
-        self.vobj = vobj
-
-    def getIcon(self):
-        __dirname__ = os.path.dirname(__file__)
-        return(os.path.join(__dirname__, "icons", "involutegear.svg"))
-
-    def __getstate__(self):
-        return None
-
-    def __setstate__(self, state):
-        return None
-
-class involute_gear(object):
-
-    """FreeCAD gear"""
-
-    def __init__(self, obj):
-        self.involute_tooth = involute_tooth()
-        obj.addProperty(
-            "App::PropertyBool", "simple", "gear_parameter", "simple")
-        obj.addProperty("App::PropertyInteger",
-                        "teeth", "gear_parameter", "number of teeth")
-        obj.addProperty(
-            "App::PropertyLength", "module", "gear_parameter", "module")
-        obj.addProperty(
-            "App::PropertyBool", "undercut", "gear_parameter", "undercut")
-        obj.addProperty(
-            "App::PropertyFloat", "shift", "gear_parameter", "shift")
-        obj.addProperty(
-            "App::PropertyLength", "height", "gear_parameter", "height")
-        obj.addProperty(
-            "App::PropertyAngle", "pressure_angle", "involute_parameter", "pressure angle")
-        obj.addProperty(
-            "App::PropertyFloat", "clearance", "gear_parameter", "clearance")
-        obj.addProperty("App::PropertyInteger", "numpoints",
-                        "gear_parameter", "number of points for spline")
-        obj.addProperty(
-            "App::PropertyAngle", "beta", "gear_parameter", "beta ")
-        obj.addProperty(
-            "App::PropertyBool", "double_helix", "gear_parameter", "double helix")
-        obj.addProperty(
-            "App::PropertyLength", "backlash", "tolerance", "backlash")
-        obj.addProperty(
-            "App::PropertyBool", "reversed_backlash", "tolerance", "backlash direction")
-        obj.addProperty(
-            "App::PropertyFloat", "head", "gear_parameter", "head_value * modul_value = additional length of head")
-        obj.addProperty("App::PropertyPythonObject", "gear", "gear_parameter", "test")
-        obj.addProperty("App::PropertyFloat", "dw", "computed", "pitch diameter", 1)
-        obj.gear = self.involute_tooth
-        obj.simple = False
-        obj.undercut = False
-        obj.teeth = 15
-        obj.module = '1. mm'
-        obj.shift = 0.
-        obj.pressure_angle = '20. deg'
-        obj.beta = '0. deg'
-        obj.height = '5. mm'
-        obj.clearance = 0.25
-        obj.head = 0.
-        obj.numpoints = 6
-        obj.double_helix = False
-        obj.backlash = '0.00 mm'
-        obj.reversed_backlash = False
-        self.obj = obj
-        obj.Proxy = self
-
-    def execute(self, fp):
-        fp.gear.double_helix = fp.double_helix
-        fp.gear.m_n = fp.module.Value
-        fp.gear.z = fp.teeth
-        fp.gear.undercut = fp.undercut
-        fp.gear.shift = fp.shift
-        fp.gear.pressure_angle = fp.pressure_angle.Value * np.pi / 180.
-        fp.gear.beta = fp.beta.Value * np.pi / 180
-        fp.gear.clearance = fp.clearance
-        fp.gear.backlash = fp.backlash.Value * (-fp.reversed_backlash + 0.5) * 2.
-        fp.gear.head = fp.head
-        fp.gear._update()
-        pts = fp.gear.points(num=fp.numpoints)
-        rotated_pts = pts
-        rot = rotation(-fp.gear.phipart)
-        for i in range(fp.gear.z - 1):
-            rotated_pts = list(map(rot, rotated_pts))
-            pts.append(np.array([pts[-1][-1], rotated_pts[0][0]]))
-            pts += rotated_pts
-        pts.append(np.array([pts[-1][-1], pts[0][0]]))
-        if not fp.simple:
-            wi = []
-            for i in pts:
-                out = BSplineCurve()
-                out.interpolate(list(map(fcvec, i)))
-                wi.append(out.toShape())
-            wi = Wire(wi)
-            if fp.beta.Value == 0:
-                sh = Face(wi)
-                fp.Shape = sh.extrude(App.Vector(0, 0, fp.height.Value))
-            else:
-                fp.Shape = helicalextrusion(
-                    wi, fp.height.Value, fp.height.Value * np.tan(fp.gear.beta) * 2 / fp.gear.d, fp.double_helix)
-        else:
-            rw = fp.gear.dw / 2
-            fp.Shape=Part.makeCylinder(rw,fp.height.Value)
-
-        fp.dw = fp.gear.dw
-
-    def __getstate__(self):
-        return None
-
-    def __setstate__(self, state):
-        return None
-
-
-class involute_gear_rack(object):
-
-    """FreeCAD gear rack"""
-
-    def __init__(self, obj):
-        self.involute_rack = involute_rack()
-        obj.addProperty("App::PropertyInteger",
-                        "teeth", "gear_parameter", "number of teeth")
-        obj.addProperty(
-            "App::PropertyLength", "module", "gear_parameter", "module")
-        obj.addProperty(
-            "App::PropertyLength", "height", "gear_parameter", "height")
-        obj.addProperty(
-            "App::PropertyLength", "thickness", "gear_parameter", "thickness")
-        obj.addProperty(
-            "App::PropertyAngle", "beta", "gear_parameter", "beta ")
-        obj.addProperty(
-            "App::PropertyAngle", "pressure_angle", "involute_parameter", "pressure angle")
-        obj.addProperty(
-            "App::PropertyBool", "double_helix", "gear_parameter", "double helix")
-        obj.addProperty(
-            "App::PropertyFloat", "head", "gear_parameter", "head_value * modul_value = additional length of head")
-        obj.addProperty("App::PropertyPythonObject", "rack", "test", "test")
-        obj.rack = self.involute_rack
-        obj.teeth = 15
-        obj.module = '1. mm'
-        obj.pressure_angle = '20. deg'
-        obj.height = '5. mm'
-        obj.thickness = '5 mm'
-        obj.beta = '0. deg'
-        self.obj = obj
-        obj.Proxy = self
-
-    def execute(self, fp):
-        fp.rack.m = fp.module.Value
-        fp.rack.z = fp.teeth
-        fp.rack.pressure_angle = fp.pressure_angle.Value * np.pi / 180.
-        fp.rack.thickness = fp.thickness.Value
-        fp.rack.beta = fp.beta.Value * np.pi / 180.
-        fp.rack.head = fp.head
-        fp.rack._update()
-        pts = fp.rack.points()
-        pol = Wire(makePolygon(list(map(fcvec, pts))))
-        if fp.beta.Value == 0:
-            face = Face(Wire(pol))
-            fp.Shape = face.extrude(fcvec([0., 0., fp.height.Value]))
-        elif fp.double_helix:
-            beta = fp.beta.Value * np.pi / 180.
-            pol2 = Part.Wire(pol)
-            pol2.translate(fcvec([0., np.tan(beta) * fp.height.Value / 2, fp.height.Value / 2]))
-            pol3 = Part.Wire(pol)
-            pol3.translate(fcvec([0., 0., fp.height.Value]))
-            fp.Shape = makeLoft([pol, pol2, pol3], True, True)
-        else:
-            beta = fp.beta.Value * np.pi / 180.
-            pol2 = Part.Wire(pol)
-            pol2.translate(fcvec([0., np.tan(beta) * fp.height.Value, fp.height.Value]))
-            fp.Shape = makeLoft([pol, pol2], True)
-
-    def __getstate__(self):
-        return None
-
-    def __setstate__(self, state):
-        return None
-
-
-class crown_gear(object):
-    def __init__(self, obj):
-        obj.addProperty("App::PropertyInteger",
-                        "teeth", "gear_parameter", "number of teeth")
-        obj.addProperty("App::PropertyInteger",
-                        "other_teeth", "gear_parameter", "number of teeth of other gear")
-        obj.addProperty(
-            "App::PropertyLength", "module", "gear_parameter", "module")
-        obj.addProperty(
-            "App::PropertyLength", "height", "gear_parameter", "height")
-        obj.addProperty(
-            "App::PropertyLength", "thickness", "gear_parameter", "thickness")
-        obj.addProperty(
-            "App::PropertyAngle", "pressure_angle", "involute_parameter", "pressure angle")
-        obj.addProperty("App::PropertyInteger",
-                        "num_profiles", "accuracy", "number of profiles used for loft")
-        obj.addProperty("App::PropertyBool",
-                        "construct", "accuracy", "number of profiles used for loft")
-        obj.teeth = 15
-        obj.other_teeth = 15
-        obj.module = '1. mm'
-        obj.pressure_angle = '20. deg'
-        obj.height = '2. mm'
-        obj.thickness = '5 mm'
-        obj.num_profiles = 4
-        obj.construct = True
-        self.obj = obj
-        obj.Proxy = self
-
-
-    def profile(self, m, r, r0, t_c, t_i, alpha_w, y0, y1, y2):
-        r_ew = m * t_i / 2
-
-        # 1: modifizierter Waelzkreisdurchmesser:
-        r_e = r / r0 * r_ew
-
-        # 2: modifizierter Schraegungswinkel:
-        alpha = np.arccos(r0 / r * np.cos(alpha_w))
-
-        # 3: winkel phi bei senkrechter stellung eines zahns:
-        phi = np.pi / t_i / 2 + (alpha - alpha_w) + (np.tan(alpha_w) - np.tan(alpha))
-
-        # 4: Position des Eingriffspunktes:
-        x_c = r_e * np.sin(phi)
-        dy = -r_e * np.cos(phi) + r_ew
-
-        # 5: oberer Punkt:
-        b = y1 - dy
-        a = np.tan(alpha) * b
-        x1 = a + x_c
-
-        # 6: unterer Punkt
-        d = y2 + dy
-        c = np.tan(alpha) * d
-        x2 = x_c - c
-
-        r *= np.cos(phi)
-        pts = [
-            [-x1, r, y0],
-            [-x2, r, y0 - y1 - y2],
-            [x2, r, y0 - y1 - y2],
-            [x1, r, y0]
-        ]
-        pts.append(pts[0])
-        return pts
-
-    def execute(self, fp):
-        inner_diameter = fp.module.Value * fp.teeth
-        outer_diameter = inner_diameter + fp.height.Value * 2
-        inner_circle = Part.Wire(Part.makeCircle(inner_diameter / 2.))
-        outer_circle = Part.Wire(Part.makeCircle(outer_diameter / 2.))
-        inner_circle.reverse()
-        face = Part.Face([outer_circle, inner_circle])
-        solid = face.extrude(App.Vector([0., 0., -fp.thickness.Value]))
-
-        ### cutting obj
-        alpha_w = np.deg2rad(fp.pressure_angle.Value)
-        m = fp.module.Value
-        t = fp.teeth
-        t_c = t
-        t_i = fp.other_teeth
-        rm = inner_diameter / 2
-        y0 = m * 0.5
-        y1 = m + y0
-        y2 = m
-        r0 = inner_diameter / 2 - fp.height.Value * 0.1
-        r1 = outer_diameter / 2 + fp.height.Value * 0.3
-        polies = []
-        for r_i in np.linspace(r0, r1, fp.num_profiles):
-            pts = self.profile(m, r_i, rm, t_c, t_i, alpha_w, y0, y1, y2)
-            poly = Wire(makePolygon(list(map(fcvec, pts))))
-            polies.append(poly)
-        loft = makeLoft(polies, True)
-        rot = App.Matrix()
-        rot.rotateZ(2 * np.pi / t)
-        if fp.construct:
-            cut_shapes = [solid]
-            for _ in range(t):
-                loft = loft.transformGeometry(rot)
-                cut_shapes.append(loft)
-            fp.Shape = Part.Compound(cut_shapes)
-        else:
-            for i in range(t):
-                loft = loft.transformGeometry(rot)
-                solid = solid.cut(loft)
-            fp.Shape = solid
-        
-
-    def __getstate__(self):
-        pass
-
-    def __setstate__(self, state):
-        pass
-
-
-class cycloide_gear(object):
-    """FreeCAD gear"""
-    def __init__(self, obj):
-        self.cycloide_tooth = cycloide_tooth()
-        obj.addProperty("App::PropertyInteger",
-                        "teeth", "gear_parameter", "number of teeth")
-        obj.addProperty(
-            "App::PropertyLength", "module", "gear_parameter", "module")
-        obj.addProperty(
-            "App::PropertyLength", "inner_diameter", "cycloid_parameter", "inner_diameter")
-        obj.addProperty(
-            "App::PropertyLength", "outer_diameter", "cycloid_parameter", "outer_diameter")
-        obj.addProperty(
-            "App::PropertyLength", "height", "gear_parameter", "height")
-        obj.addProperty(
-            "App::PropertyBool", "double_helix", "gear_parameter", "double helix")
-        obj.addProperty(
-            "App::PropertyFloat", "clearance", "gear_parameter", "clearance")
-        obj.addProperty("App::PropertyInteger", "numpoints",
-                        "gear_parameter", "number of points for spline")
-        obj.addProperty("App::PropertyAngle", "beta", "gear_parameter", "beta")
-        obj.addProperty(
-            "App::PropertyLength", "backlash", "gear_parameter", "backlash in mm")
-        obj.addProperty("App::PropertyPythonObject", "gear", "gear_parameter", "the python object")
-        obj.gear = self.cycloide_tooth
-        obj.teeth = 15
-        obj.module = '1. mm'
-        obj.inner_diameter = '5 mm'
-        obj.outer_diameter = '5 mm'
-        obj.beta = '0. deg'
-        obj.height = '5. mm'
-        obj.clearance = 0.25
-        obj.numpoints = 15
-        obj.backlash = '0.00 mm'
-        obj.double_helix = False
-        obj.Proxy = self
-
-    def execute(self, fp):
-        fp.gear.m = fp.module.Value
-        fp.gear.z = fp.teeth
-        fp.gear.z1 = fp.inner_diameter.Value
-        fp.gear.z2 = fp.outer_diameter.Value
-        fp.gear.clearance = fp.clearance
-        fp.gear.backlash = fp.backlash.Value
-        fp.gear._update()
-        pts = fp.gear.points(num=fp.numpoints)
-        rotated_pts = pts
-        rot = rotation(-fp.gear.phipart)
-        for i in range(fp.gear.z - 1):
-            rotated_pts = list(map(rot, rotated_pts))
-            pts.append(np.array([pts[-1][-1], rotated_pts[0][0]]))
-            pts += rotated_pts
-        pts.append(np.array([pts[-1][-1], pts[0][0]]))
-        wi = []
-        for i in pts:
-            out = BSplineCurve()
-            out.interpolate(list(map(fcvec, i)))
-            wi.append(out.toShape())
-        wi = Wire(wi)
-        if fp.beta.Value == 0:
-            sh = Face(wi)
-            fp.Shape = sh.extrude(App.Vector(0, 0, fp.height.Value))
-        else:
-            fp.Shape = helicalextrusion(
-                wi, fp.height.Value, fp.height.Value * np.tan(fp.beta.Value * np.pi / 180) * 2 / fp.gear.d, fp.double_helix)
-
-    def __getstate__(self):
-        return None
-
-    def __setstate__(self, state):
-        return None
-
-
-class bevel_gear(object):
-
-    """parameters:
-        pressure_angle:  pressureangle,   10-30°
-        pitch_angle:  cone angle,      0 < pitch_angle < pi/4
-    """
-
-    def __init__(self, obj):
-        self.bevel_tooth = bevel_tooth()
-        obj.addProperty("App::PropertyInteger",
-                        "teeth", "gear_parameter", "number of teeth")
-        obj.addProperty(
-            "App::PropertyLength", "height", "gear_parameter", "height")
-        obj.addProperty(
-            "App::PropertyAngle", "pitch_angle", "involute_parameter", "pitch_angle")
-        obj.addProperty(
-            "App::PropertyAngle", "pressure_angle", "involute_parameter", "pressure_angle")
-        obj.addProperty("App::PropertyLength", "m", "gear_parameter", "m")
-        obj.addProperty(
-            "App::PropertyFloat", "clearance", "gear_parameter", "clearance")
-        obj.addProperty("App::PropertyInteger", "numpoints",
-                        "gear_parameter", "number of points for spline")
-        obj.addProperty("App::PropertyBool", "reset_origin", "gear_parameter",
-            "if value is true the gears outer face will match the z=0 plane")
-        obj.addProperty(
-            "App::PropertyLength", "backlash", "gear_parameter", "backlash in mm")
-        obj.addProperty("App::PropertyPythonObject", "gear", "gear_paramenter", "test")
-        obj.addProperty("App::PropertyAngle", "beta", "gear_paramenter", "test")
-        obj.gear = self.bevel_tooth
-        obj.m = '1. mm'
-        obj.teeth = 15
-        obj.pressure_angle = '20. deg'
-        obj.pitch_angle = '45. deg'
-        obj.height = '5. mm'
-        obj.numpoints = 6
-        obj.backlash = '0.00 mm'
-        obj.clearance = 0.1
-        obj.beta = '0 deg'
-        obj.reset_origin = True
-        self.obj = obj
-        obj.Proxy = self
-
-    def execute(self, fp):
-        fp.gear.z = fp.teeth
-        fp.gear.module = fp.m.Value
-        fp.gear.pressure_angle = (90 - fp.pressure_angle.Value) * np.pi / 180.
-        fp.gear.pitch_angle = fp.pitch_angle.Value * np.pi / 180
-        fp.gear.backlash = fp.backlash.Value
-        scale = fp.m.Value * fp.gear.z / 2 / np.tan(fp.pitch_angle.Value * np.pi / 180)
-        fp.gear.clearance = fp.clearance / scale
-        fp.gear._update()
-        pts = list(fp.gear.points(num=fp.numpoints))
-        rot = rotation3D(2  * np.pi / fp.teeth)
-        # if fp.beta.Value != 0:
-        #     pts = [np.array([self.spherical_rot(j, fp.beta.Value * np.pi / 180.) for j in i]) for i in pts]
-
-        rotated_pts = pts
-        for i in range(fp.gear.z - 1):
-            rotated_pts = list(map(rot, rotated_pts))
-            pts.append(np.array([pts[-1][-1], rotated_pts[0][0]]))
-            pts += rotated_pts
-        pts.append(np.array([pts[-1][-1], pts[0][0]]))
-        wires = []
-        scale_0 = scale - fp.height.Value / 2
-        scale_1 = scale + fp.height.Value / 2
-        if fp.beta.Value == 0:
-            wires.append(makeBSplineWire([scale_0 * p for p in pts]))
-            wires.append(makeBSplineWire([scale_1 * p for p in pts]))
-        else:
-            for scale_i  in np.linspace(scale_0, scale_1, 20):
-                # beta_i = (scale_i - scale_0) * fp.beta.Value * np.pi / 180
-                # rot = rotation3D(beta_i)
-                # points = [rot(pt) * scale_i for pt in pts]
-                angle =  fp.beta.Value * np.pi / 180. * np.sin(np.pi / 4) / np.sin(fp.pitch_angle.Value * np.pi / 180.)
-                points = [np.array([self.spherical_rot(p, angle) for p in scale_i * pt]) for pt in pts]
-                wires.append(makeBSplineWire(points))
-        shape = makeLoft(wires, True)
-        if fp.reset_origin:
-            mat = App.Matrix()
-            mat.A33 = -1
-            mat.move(fcvec([0, 0, scale_1]))
-            shape = shape.transformGeometry(mat)
-        fp.Shape = shape
-        # fp.Shape = self.create_teeth(pts, pos1, fp.teeth)
-
-
-    def create_tooth(self):
-        w = []
-        scal1 = self.obj.m.Value * self.obj.gear.z / 2 / np.tan(
-            self.obj.pitch_angle.Value * np.pi / 180) - self.obj.height.Value / 2
-        scal2 = self.obj.m.Value * self.obj.gear.z / 2 / np.tan(
-            self.obj.pitch_angle.Value * np.pi / 180) + self.obj.height.Value / 2
-        s = [scal1, scal2]
-        pts = self.obj.gear.points(num=self.obj.numpoints)
-        for j, pos in enumerate(s):
-            w1 = []
-            scale = lambda x: fcvec(x * pos)
-            for i in pts:
-                i_scale = list(map(scale, i))
-                w1.append(i_scale)
-            w.append(w1)
-        surfs = []
-        w_t = zip(*w)
-        for i in w_t:
-            b = BSplineSurface()
-            b.interpolate(i)
-            surfs.append(b)
-        return Shape(surfs)
-
-    def spherical_rot(self, point, phi):
-        new_phi = np.sqrt(np.linalg.norm(point)) * phi
-        return rotation3D(new_phi)(point)
-
-    def create_teeth(self, pts, pos, teeth):
-        w1 = []
-        pts = [pt * pos for pt in pts]
-        rotated_pts = scaled_points
-        rot = rotation3D(- 2 * i * np.pi / teeth)
-        for i in range(teeth - 1):
-            rotated_pts = map(rot, rotated_pts)
-            pts.append(np.array([pts[-1][-1], rotated_pts[0][0]]))
-            pts += rotated_pts
-        s = Wire(Shape(w1).Edges)
-        wi = []
-        for i in range(teeth):
-            rot = App.Matrix()
-            rot.rotateZ(2 * i * np.pi / teeth)
-            tooth_rot = s.transformGeometry(rot)
-            if i != 0:
-                pt_0 = wi[-1].Edges[-1].Vertexes[0].Point
-                pt_1 = tooth_rot.Edges[0].Vertexes[-1].Point
-                wi.append(Wire([Line(pt_0, pt_1).toShape()]))
-            wi.append(tooth_rot)
-        pt_0 = wi[-1].Edges[-1].Vertexes[0].Point
-        pt_1 = wi[0].Edges[0].Vertexes[-1].Point
-        wi.append(Wire([Line(pt_0, pt_1).toShape()]))
-        return(Wire(wi))
-
-    def __getstate__(self):
-        return None
-
-    def __setstate__(self, state):
-        return None
-
-
-def helicalextrusion(wire, height, angle, double_helix = False):
-    direction = bool(angle < 0)
-    if double_helix:
-        first_spine = makeHelix(height * 2. * np.pi / abs(angle), 0.5 * height, 10., 0, direction)
-        first_solid = first_spine.makePipeShell([wire], True, True)
-        second_solid = first_solid.mirror(fcvec([0.,0.,0.]), fcvec([0,0,1]))
-        faces = first_solid.Faces + second_solid.Faces
-        faces = [f for f in faces if not on_mirror_plane(f, 0., fcvec([0., 0., 1.]))]
-        solid = makeSolid(makeShell(faces))
-        mat = App.Matrix()
-        mat.move(fcvec([0, 0, 0.5 * height]))
-        return solid.transformGeometry(mat)
-    else:
-        first_spine = makeHelix(height * 2 * np.pi / abs(angle), height, 10., 0, direction)
-        first_solid = first_spine.makePipeShell([wire], True, True)
-        return first_solid
-
-
-
-def make_face(edge1, edge2):
-    v1, v2 = edge1.Vertexes
-    v3, v4 = edge2.Vertexes
-    e1 = Wire(edge1)
-    e2 = Line(v1.Point, v3.Point).toShape().Edges[0]
-    e3 = edge2
-    e4 = Line(v4.Point, v2.Point).toShape().Edges[0]
-    w = Wire([e3, e4, e1, e2])
-    return(Face(w))
-
-
-def makeBSplineWire(pts):
-    wi = []
-    for i in pts:
-        out = BSplineCurve()
-        out.interpolate(list(map(fcvec, i)))
-        wi.append(out.toShape())
-    return Wire(wi)
-
-def on_mirror_plane(face, z, direction, small_size=0.000001):
-    # the tolerance is very high. Maybe there is a bug in Part.makeHelix.
-    return (face.normalAt(0, 0).cross(direction).Length < small_size and
-            abs(face.CenterOfMass.z - z)  < small_size)

freecad/gears/hypocycloidgear.py

@@ -0,0 +1,311 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * This program is distributed in the hope that it will be useful,         *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+# * GNU General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+import math
+
+import numpy as np
+
+from freecad import app
+from freecad import part
+
+from pygears.bevel_tooth import BevelTooth
+from pygears._functions import rotation
+
+from .basegear import BaseGear, make_bspline_wire
+
+QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
+
+
+class HypoCycloidGear(BaseGear):
+    """parameters:
+    pressure_angle:  pressureangle,   10-30°
+    pitch_angle:  cone angle,      0 < pitch_angle < pi/4
+    """
+
+    def __init__(self, obj):
+        super(HypoCycloidGear, self).__init__(obj)
+        obj.addProperty(
+            "App::PropertyFloat",
+            "pin_circle_radius",
+            "gear_parameter",
+            QT_TRANSLATE_NOOP(
+                "App::Property", "Pin ball circle radius (overrides Tooth Pitch)"
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyFloat",
+            "roller_diameter",
+            "gear_parameter",
+            QT_TRANSLATE_NOOP("App::Property", "Roller Diameter"),
+        )
+        obj.addProperty(
+            "App::PropertyFloat",
+            "eccentricity",
+            "gear_parameter",
+            QT_TRANSLATE_NOOP("App::Property", "Eccentricity"),
+        )
+        obj.addProperty(
+            "App::PropertyAngle",
+            "pressure_angle_lim",
+            "gear_parameter",
+            QT_TRANSLATE_NOOP("App::Property", "Pressure angle limit"),
+        )
+        obj.addProperty(
+            "App::PropertyFloat",
+            "pressure_angle_offset",
+            "gear_parameter",
+            QT_TRANSLATE_NOOP("App::Property", "Offset in pressure angle"),
+        )
+        obj.addProperty(
+            "App::PropertyInteger",
+            "teeth_number",
+            "gear_parameter",
+            QT_TRANSLATE_NOOP("App::Property", "Number of teeth in Cam"),
+        )
+        obj.addProperty(
+            "App::PropertyInteger",
+            "segment_count",
+            "gear_parameter",
+            QT_TRANSLATE_NOOP(
+                "App::Property", "Number of points used for spline interpolation"
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "hole_radius",
+            "gear_parameter",
+            QT_TRANSLATE_NOOP("App::Property", "Center hole's radius"),
+        )
+
+        obj.addProperty(
+            "App::PropertyBool",
+            "show_pins",
+            "Pins",
+            QT_TRANSLATE_NOOP("App::Property", "Create pins in place"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "pin_height",
+            "Pins",
+            QT_TRANSLATE_NOOP("App::Property", "height"),
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "center_pins",
+            "Pins",
+            QT_TRANSLATE_NOOP("App::Property", "Center pin Z axis to generated disks"),
+        )
+
+        obj.addProperty(
+            "App::PropertyBool",
+            "show_disk0",
+            "Disks",
+            QT_TRANSLATE_NOOP("App::Property", "Show main cam disk"),
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "show_disk1",
+            "Disks",
+            QT_TRANSLATE_NOOP("App::Property", "Show another reversed cam disk on top"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "disk_height",
+            "Disks",
+            QT_TRANSLATE_NOOP("App::Property", "height"),
+        )
+
+        obj.pin_circle_radius = 66
+        obj.roller_diameter = 3
+        obj.eccentricity = 1.5
+        obj.pressure_angle_lim = "50.0 deg"
+        obj.pressure_angle_offset = 0.01
+        obj.teeth_number = 42
+        obj.segment_count = 42
+        obj.hole_radius = "30. mm"
+
+        obj.show_pins = True
+        obj.pin_height = "20. mm"
+        obj.center_pins = True
+
+        obj.show_disk0 = True
+        obj.show_disk1 = True
+        obj.disk_height = "10. mm"
+
+        self.obj = obj
+        obj.Proxy = self
+
+    def to_polar(self, x, y):
+        return (x**2 + y**2) ** 0.5, math.atan2(y, x)
+
+    def to_rect(self, r, a):
+        return r * math.cos(a), r * math.sin(a)
+
+    def calcyp(self, p, a, e, n):
+        return math.atan(math.sin(n * a) / (math.cos(n * a) + (n * p) / (e * (n + 1))))
+
+    def calc_x(self, p, d, e, n, a):
+        return (
+            (n * p) * math.cos(a)
+            + e * math.cos((n + 1) * a)
+            - d / 2 * math.cos(self.calcyp(p, a, e, n) + a)
+        )
+
+    def calc_y(self, p, d, e, n, a):
+        return (
+            (n * p) * math.sin(a)
+            + e * math.sin((n + 1) * a)
+            - d / 2 * math.sin(self.calcyp(p, a, e, n) + a)
+        )
+
+    def calc_pressure_angle(self, p, d, n, a):
+        ex = 2**0.5
+        r3 = p * n
+        rg = r3 / ex
+        pp = rg * (ex**2 + 1 - 2 * ex * math.cos(a)) ** 0.5 - d / 2
+        return math.asin((r3 * math.cos(a) - rg) / (pp + d / 2)) * 180 / math.pi
+
+    def calc_pressure_limit(self, p, d, e, n, a):
+        ex = 2**0.5
+        r3 = p * n
+        rg = r3 / ex
+        q = (r3**2 + rg**2 - 2 * r3 * rg * math.cos(a)) ** 0.5
+        x = rg - e + (q - d / 2) * (r3 * math.cos(a) - rg) / q
+        y = (q - d / 2) * r3 * math.sin(a) / q
+        return (x**2 + y**2) ** 0.5
+
+    def check_limit(self, x, y, maxrad, minrad, offset):
+        r, a = self.to_polar(x, y)
+        if (r > maxrad) or (r < minrad):
+            r = r - offset
+            x, y = self.to_rect(r, a)
+        return x, y
+
+    def generate_gear_shape(self, fp):
+        b = fp.pin_circle_radius
+        d = fp.roller_diameter
+        e = fp.eccentricity
+        n = fp.teeth_number
+        p = b / n
+        s = fp.segment_count
+        ang = fp.pressure_angle_lim
+        c = fp.pressure_angle_offset
+
+        q = 2 * math.pi / float(s)
+
+        # Find the pressure angle limit circles
+        minAngle = -1.0
+        maxAngle = -1.0
+        for i in range(0, 180):
+            x = self.calc_pressure_angle(p, d, n, i * math.pi / 180.0)
+            if (x < ang) and (minAngle < 0):
+                minAngle = float(i)
+            if (x < -ang) and (maxAngle < 0):
+                maxAngle = float(i - 1)
+
+        minRadius = self.calc_pressure_limit(p, d, e, n, minAngle * math.pi / 180.0)
+        maxRadius = self.calc_pressure_limit(p, d, e, n, maxAngle * math.pi / 180.0)
+        # unused
+        # part.Wire(part.makeCircle(minRadius, app.Vector(-e, 0, 0)))
+        # part.Wire(part.makeCircle(maxRadius, app.Vector(-e, 0, 0)))
+
+        app.Console.PrintMessage(app.Qt.translate("Log", "Generating cam disk\n"))
+        # generate the cam profile - note: shifted in -x by eccentricicy amount
+        i = 0
+        x = self.calc_x(p, d, e, n, q * i / float(n))
+        y = self.calc_y(p, d, e, n, q * i / n)
+        x, y = self.check_limit(x, y, maxRadius, minRadius, c)
+        points = [app.Vector(x - e, y, 0)]
+        for i in range(0, s):
+            x = self.calc_x(p, d, e, n, q * (i + 1) / n)
+            y = self.calc_y(p, d, e, n, q * (i + 1) / n)
+            x, y = self.check_limit(x, y, maxRadius, minRadius, c)
+            points.append([x - e, y, 0])
+
+        wi = make_bspline_wire([points])
+        wires = []
+        mat = app.Matrix()
+        mat.move(app.Vector(e, 0.0, 0.0))
+        mat.rotateZ(2 * np.pi / n)
+        mat.move(app.Vector(-e, 0.0, 0.0))
+        for _ in range(n):
+            wi = wi.transformGeometry(mat)
+            wires.append(wi)
+
+        cam = part.Face(part.Wire(wires))
+        # add a circle in the center of the cam
+        if fp.hole_radius.Value:
+            centerCircle = part.Face(
+                part.Wire(part.makeCircle(fp.hole_radius.Value, app.Vector(-e, 0, 0)))
+            )
+            cam = cam.cut(centerCircle)
+
+        to_be_fused = []
+        if fp.show_disk0:
+            if fp.disk_height.Value == 0:
+                to_be_fused.append(cam)
+            else:
+                to_be_fused.append(cam.extrude(app.Vector(0, 0, fp.disk_height.Value)))
+
+        # secondary cam disk
+        if fp.show_disk1:
+            app.Console.PrintMessage(
+                app.Qt.translate("Log", "Generating secondary cam disk\n")
+            )
+            second_cam = cam.copy()
+            mat = app.Matrix()
+            mat.rotateZ(np.pi)
+            mat.move(app.Vector(-e, 0, 0))
+            if n % 2 == 0:
+                mat.rotateZ(np.pi / n)
+            mat.move(app.Vector(e, 0, 0))
+            second_cam = second_cam.transformGeometry(mat)
+            if fp.disk_height.Value == 0:
+                to_be_fused.append(second_cam)
+            else:
+                to_be_fused.append(
+                    second_cam.extrude(app.Vector(0, 0, -fp.disk_height.Value))
+                )
+
+        # pins
+        if fp.show_pins:
+            app.Console.PrintMessage(app.Qt.translate("Log", "Generating pins\n"))
+            pins = []
+            for i in range(0, n + 1):
+                x = p * n * math.cos(2 * math.pi / (n + 1) * i)
+                y = p * n * math.sin(2 * math.pi / (n + 1) * i)
+                pins.append(part.Wire(part.makeCircle(d / 2, app.Vector(x, y, 0))))
+
+            pins = part.Face(pins)
+
+            z_offset = -fp.pin_height.Value / 2
+            if fp.center_pins:
+                if fp.show_disk0 and not fp.show_disk1:
+                    z_offset += fp.disk_height.Value / 2
+                elif not fp.show_disk0 and fp.show_disk1:
+                    z_offset += -fp.disk_height.Value / 2
+            # extrude
+            if z_offset != 0:
+                pins.translate(app.Vector(0, 0, z_offset))
+            if fp.pin_height != 0:
+                pins = pins.extrude(app.Vector(0, 0, fp.pin_height.Value))
+
+            to_be_fused.append(pins)
+
+        if to_be_fused:
+            return part.makeCompound(to_be_fused)

freecad/gears/init_gui.py

@@ -1,66 +1,152 @@
-#***************************************************************************
+# -*- coding: utf-8 -*-
-#*                                                                         *
+# ***************************************************************************
-#*   This program is free software; you can redistribute it and/or modify  *
+# *                                                                         *
-#*   it under the terms of the GNU Lesser General Public License (LGPL)    *
+# * This program is free software: you can redistribute it and/or modify    *
-#*   as published by the Free Software Foundation; either version 2 of     *
+# * it under the terms of the GNU General Public License as published by    *
-#*   the License, or (at your option) any later version.                   *
+# * the Free Software Foundation, either version 3 of the License, or       *
-#*   for detail see the LICENCE text file.                                 *
+# * (at your option) any later version.                                     *
-#*                                                                         *
+# *                                                                         *
-#*   This program is distributed in the hope that it will be useful,       *
+# * This program is distributed in the hope that it will be useful,         *
-#*   but WITHOUT ANY WARRANTY; without even the implied warranty of        *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
-#*   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the         *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
-#*   GNU Library General Public License for more details.                  *
+# * GNU General Public License for more details.                            *
-#*                                                                         *
+# *                                                                         *
-#*   You should have received a copy of the GNU Library General Public     *
+# * You should have received a copy of the GNU General Public License       *
-#*   License along with this program; if not, write to the Free Software   *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
-#*   Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  *
+# *                                                                         *
-#*   USA                                                                   *
+# ***************************************************************************
-#*                                                                         *
-#***************************************************************************
 
 import os
-import FreeCADGui as Gui
+import sys
-import FreeCAD as App
+from freecad import app
+from freecad import gui
+
 __dirname__ = os.path.dirname(__file__)
 
-try:
+# Add translations path
-    from FreeCADGui import Workbench
+gui.addLanguagePath(os.path.join(__dirname__, "translations"))
-except ImportError as e:
+gui.updateLocale()
-    App.Console.PrintWarning("you are using the GearWorkbench with an old version of FreeCAD (<0.16)")
-    App.Console.PrintWarning("the class Workbench is loaded, although not imported: magic")
 
-class gearWorkbench(Workbench):
+if sys.version_info[0] == 3 and sys.version_info[1] >= 11:
-    """glider workbench"""
+    # only works with 0.21.2 and above
-    MenuText = "Gear"
+
-    ToolTip = "Gear Workbench"
+    FC_MAJOR_VER_REQUIRED = 0
-    Icon = os.path.join(__dirname__,  'icons', 'gearworkbench.svg')
+    FC_MINOR_VER_REQUIRED = 21
+    FC_PATCH_VER_REQUIRED = 2
+    FC_COMMIT_REQUIRED = 33772
+
+    # Check FreeCAD version
+    app.Console.PrintLog(app.Qt.translate("Log", "Checking FreeCAD version\n"))
+    ver = app.Version()
+    major_ver = int(ver[0])
+    minor_ver = int(ver[1])
+    patch_ver = int(ver[2])
+    gitver = ver[3].split()
+    if gitver:
+        gitver = gitver[0]
+    if gitver and gitver != "Unknown" and gitver.isdigit():
+        gitver = int(gitver)
+    else:
+        # If we don't have the git version, assume it's OK.
+        gitver = FC_COMMIT_REQUIRED
+
+    if major_ver < FC_MAJOR_VER_REQUIRED or (
+        major_ver == FC_MAJOR_VER_REQUIRED
+        and (
+            minor_ver < FC_MINOR_VER_REQUIRED
+            or (
+                minor_ver == FC_MINOR_VER_REQUIRED
+                and (
+                    patch_ver < FC_PATCH_VER_REQUIRED
+                    or (
+                        patch_ver == FC_PATCH_VER_REQUIRED
+                        and gitver < FC_COMMIT_REQUIRED
+                    )
+                )
+            )
+        )
+    ):
+        app.Console.PrintWarning(
+            app.Qt.translate(
+                "Log",
+                "FreeCAD version (currently {}.{}.{} ({})) must be at least {}.{}.{} ({}) in order to work with Python 3.11 and above\n",
+            ).format(
+                int(ver[0]),
+                minor_ver,
+                patch_ver,
+                gitver,
+                FC_MAJOR_VER_REQUIRED,
+                FC_MINOR_VER_REQUIRED,
+                FC_PATCH_VER_REQUIRED,
+                FC_COMMIT_REQUIRED,
+            )
+        )
+
+
+class GearWorkbench(gui.Workbench):
+    """A freecad workbench aiming at gear design"""
+
+    MenuText = app.Qt.translate("Workbench", "Gear")
+    ToolTip = app.Qt.translate("Workbench", "Gear Workbench")
+    Icon = os.path.join(__dirname__, "icons", "gearworkbench.svg")
     commands = [
-                "CreateInvoluteGear",
+        "FCGear_InvoluteGear",
-                "CreateInvoluteRack",
+        "FCGear_InternalInvoluteGear",
-                "CreateCycloideGear",
+        "FCGear_InvoluteRack",
-                "CreateBevelGear",
+        "FCGear_CycloidGear",
-                "CreateCrownGear"]
+        "FCGear_CycloidRack",
+        "FCGear_BevelGear",
+        "FCGear_CrownGear",
+        "FCGear_WormGear",
+        "FCGear_TimingGearT",
+        "FCGear_TimingGear",
+        "FCGear_LanternGear",
+        "FCGear_HypoCycloidGear",
+        "FCGear_GearConnector",
+    ]
 
     def GetClassName(self):
         return "Gui::PythonWorkbench"
 
     def Initialize(self):
-        from .commands import CreateCycloideGear, CreateInvoluteGear
+        QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
-        from .commands import CreateBevelGear, CreateInvoluteRack, CreateCrownGear
+        from .commands import (
-        self.appendToolbar("Gear", self.commands)
+            CreateCycloidGear,
-        self.appendMenu("Gear", self.commands)
+            CreateInvoluteGear,
-        Gui.addIconPath(App.getHomePath()+"Mod/gear/icons/")
+            CreateInternalInvoluteGear,
-        Gui.addCommand('CreateInvoluteGear', CreateInvoluteGear())
+            CreateBevelGear,
-        Gui.addCommand('CreateCycloideGear', CreateCycloideGear())
+            CreateInvoluteRack,
-        Gui.addCommand('CreateBevelGear', CreateBevelGear())
+            CreateCrownGear,
-        Gui.addCommand('CreateInvoluteRack', CreateInvoluteRack())
+            CreateWormGear,
-        Gui.addCommand('CreateCrownGear', CreateCrownGear())
+            CreateTimingGearT,
+            CreateTimingGear,
+            CreateLanternGear,
+            CreateHypoCycloidGear,
+            CreateCycloidRack,
+            CreateGearConnector,
+        )
+
+        self.appendToolbar(QT_TRANSLATE_NOOP("Workbench", "Gear"), self.commands)
+        self.appendMenu(QT_TRANSLATE_NOOP("Workbench", "Gear"), self.commands)
+        gui.addCommand("FCGear_InvoluteGear", CreateInvoluteGear())
+        gui.addCommand("FCGear_InternalInvoluteGear", CreateInternalInvoluteGear())
+        gui.addCommand("FCGear_CycloidGear", CreateCycloidGear())
+        gui.addCommand("FCGear_CycloidRack", CreateCycloidRack())
+        gui.addCommand("FCGear_BevelGear", CreateBevelGear())
+        gui.addCommand("FCGear_InvoluteRack", CreateInvoluteRack())
+        gui.addCommand("FCGear_CrownGear", CreateCrownGear())
+        gui.addCommand("FCGear_WormGear", CreateWormGear())
+        gui.addCommand("FCGear_TimingGearT", CreateTimingGearT())
+        gui.addCommand("FCGear_TimingGear", CreateTimingGear())
+        gui.addCommand("FCGear_LanternGear", CreateLanternGear())
+        gui.addCommand("FCGear_HypoCycloidGear", CreateHypoCycloidGear())
+        gui.addCommand("FCGear_GearConnector", CreateGearConnector())
 
     def Activated(self):
         pass
 
-
     def Deactivated(self):
         pass
 
-Gui.addWorkbench(gearWorkbench())
+
+gui.addWorkbench(GearWorkbench())

freecad/gears/internalinvolutegear.py

@@ -0,0 +1,407 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * This program is distributed in the hope that it will be useful,         *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+# * GNU General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+import numpy as np
+
+from freecad import app
+from freecad import part
+
+from pygears.involute_tooth import InvoluteTooth
+from pygears._functions import rotation
+
+QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
+
+
+from .basegear import (
+    BaseGear,
+    points_to_wire,
+    insert_fillet,
+    helical_extrusion,
+    rotate_tooth,
+)
+
+
+class InternalInvoluteGear(BaseGear):
+    """FreeCAD internal involute gear
+
+    Using the same tooth as the external, just turning it inside-out:
+    addedum becomes dedendum, clearance becomes head, negate the backslash, ...
+    """
+
+    def __init__(self, obj):
+        super(InternalInvoluteGear, self).__init__(obj)
+        self.involute_tooth = InvoluteTooth()
+        obj.addProperty(
+            "App::PropertyBool",
+            "simple",
+            "precision",
+            QT_TRANSLATE_NOOP("App::Property", "simple"),
+        )
+        obj.addProperty(
+            "App::PropertyIntegerConstraint",
+            "num_teeth",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "number of teeth"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "module",
+            "base",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "normal module if properties_from_tool=True, else it's the transverse module.",
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "height",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "height"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "thickness",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "thickness"),
+        )
+        obj.addProperty(
+            "App::PropertyInteger",
+            "numpoints",
+            "accuracy",
+            QT_TRANSLATE_NOOP("App::Property", "number of points for spline"),
+        )
+        obj.addProperty(
+            "App::PropertyPythonObject",
+            "gear",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "test"),
+        )
+
+        self.add_involute_properties(obj)
+        self.add_tolerance_properties(obj)
+        self.add_fillet_properties(obj)
+        self.add_computed_properties(obj)
+        self.add_limiting_diameter_properties(obj)
+        self.add_helical_properties(obj)
+
+        obj.gear = self.involute_tooth
+        obj.simple = False
+        obj.num_teeth = (15, 3, 10000, 1)  # default, min, max, step
+        obj.module = "1. mm"
+        obj.shift = 0.0
+        obj.pressure_angle = "20. deg"
+        obj.helix_angle = "0. deg"
+        obj.height = "5. mm"
+        obj.thickness = "5 mm"
+        obj.clearance = 0.25
+        obj.head = -0.4  # using head=0 and shift=0.5 may be better, but makes placeing the pinion less intuitive
+        obj.numpoints = 20
+        obj.double_helix = False
+        obj.backlash = "0.00 mm"
+        obj.reversed_backlash = False
+        obj.properties_from_tool = False
+        obj.head_fillet = 0
+        obj.root_fillet = 0
+        self.obj = obj
+        obj.Proxy = self
+
+    def onDocumentRestored(self, obj):
+        """  
+        backward compatibility functions
+        """
+        if hasattr(obj, "dw"):
+            pitch_diameter = getattr(obj, "dw")
+            obj.addProperty(
+                "App::PropertyLength",
+                "pitch_diameter",
+                "computed",
+                QT_TRANSLATE_NOOP("App::Property", "The pitch diameter."),
+                8,
+            )
+            obj.pitch_diameter = pitch_diameter
+            obj.removeProperty("dw")
+            obj.setExpression(
+                "angular_backlash", "backlash / pitch_diameter * 360° / pi"
+            )
+        # replace da with addendum_diameter
+        if hasattr(obj, "da"):
+            addendum_diameter = getattr(obj, "da")
+            obj.addProperty(
+                "App::PropertyLength",
+                "addendum_diameter",
+                "computed",
+                QT_TRANSLATE_NOOP("App::Property", "The addendum diameter."),
+                8,
+            )
+            obj.addendum_diameter = addendum_diameter
+            obj.removeProperty("da")
+
+        # replace df with root_diameter
+        if hasattr(obj, "df"):
+            root_diameter = getattr(obj, "df")
+            obj.addProperty(
+                "App::PropertyLength",
+                "root_diameter",
+                "computed",
+                QT_TRANSLATE_NOOP("App::Property", "The root diameter."),
+                8,
+            )
+            obj.root_diameter = root_diameter
+            obj.removeProperty("df")
+
+        # replace beta with helix_angle
+        if hasattr(obj, "beta"):
+            helix_angle = getattr(obj, "beta")
+            obj.addProperty(
+                "App::PropertyAngle",
+                "helix_angle",
+                "helical",
+                QT_TRANSLATE_NOOP("App::Property", "helix angle"),
+            )
+            obj.helix_angle = helix_angle
+            obj.removeProperty("beta")
+
+
+
+    def add_limiting_diameter_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyLength",
+            "addendum_diameter",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "The addendum diameter"),
+            1,
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "root_diameter",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "The root diameter"),
+            1,
+        )
+
+    def add_computed_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyLength",
+            "pitch_diameter",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "The pitch diameter."),
+            8,
+        )
+        obj.addProperty(
+            "App::PropertyAngle",
+            "angular_backlash",
+            "computed",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "The angle by which this gear can turn without moving the mating gear.",
+            ),
+            8,
+        )
+        obj.setExpression(
+            "angular_backlash", "backlash / pitch_diameter * 360° / pi"
+        )  # calculate via expression to ease usage for placement
+        obj.setEditorMode(
+            "angular_backlash", 1
+        )  # set read-only after setting the expression, else it won't be visible. bug?
+        obj.addProperty(
+            "App::PropertyLength",
+            "transverse_pitch",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "transverse_pitch"),
+            8,
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "outside_diameter",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "Outside diameter"),
+            8,
+        )
+
+    def add_fillet_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyFloatConstraint",
+            "head_fillet",
+            "fillets",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "a fillet for the tooth-head, radius = head_fillet x module",
+            ),
+        ).head_fillet = (0.0, 0.0, 1000.0, 0.01)
+        obj.addProperty(
+            "App::PropertyFloatConstraint",
+            "root_fillet",
+            "fillets",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "a fillet for the tooth-root, radius = root_fillet x module",
+            ),
+        ).root_fillet = (0.0, 0.0, 1000.0, 0.01)
+
+    def add_tolerance_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyLength",
+            "backlash",
+            "tolerance",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "The arc length on the pitch circle by which the tooth thickness is reduced.",
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "reversed_backlash",
+            "tolerance",
+            QT_TRANSLATE_NOOP("App::Property", "backlash direction"),
+        )
+        obj.addProperty(
+            "App::PropertyFloat",
+            "head",
+            "tolerance",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "head_value * module_value = additional length of head",
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyFloat",
+            "clearance",
+            "tolerance",
+            QT_TRANSLATE_NOOP("App::Property", "clearance"),
+        )
+
+    def add_involute_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyFloat",
+            "shift",
+            "involute",
+            QT_TRANSLATE_NOOP("App::Property", "shift"),
+        )
+        obj.addProperty(
+            "App::PropertyAngle",
+            "pressure_angle",
+            "involute",
+            QT_TRANSLATE_NOOP("App::Property", "pressure angle"),
+        )
+
+    def add_helical_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyAngle",
+            "helix_angle",
+            "helical",
+            QT_TRANSLATE_NOOP("App::Property", "helix angle"),
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "double_helix",
+            "helical",
+            QT_TRANSLATE_NOOP("App::Property", "double helix"),
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "properties_from_tool",
+            "helical",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "if helix_angle is given and properties_from_tool is enabled, gear parameters are internally recomputed for the rotated gear",
+            ),
+        )
+
+    def generate_gear_shape(self, fp):
+        fp.gear.double_helix = fp.double_helix
+        fp.gear.m_n = fp.module.Value
+        fp.gear.num_teeth = fp.num_teeth
+        fp.gear.undercut = False  # no undercut for internal gears
+        fp.gear.shift = fp.shift
+        fp.gear.pressure_angle = fp.pressure_angle.Value * np.pi / 180.0
+        fp.gear.beta = fp.helix_angle.Value * np.pi / 180
+        fp.gear.clearance = fp.head  # swap head and clearance to become "internal"
+        fp.gear.backlash = (
+            fp.backlash.Value * (fp.reversed_backlash - 0.5) * 2.0
+        )  # negate "reversed_backslash", for "internal"
+        fp.gear.head = fp.clearance  # swap head and clearance to become "internal"
+        fp.gear.properties_from_tool = fp.properties_from_tool
+        fp.gear._update()
+
+        fp.pitch_diameter = "{}mm".format(fp.gear.dw)
+
+        # computed properties
+        fp.transverse_pitch = "{}mm".format(fp.gear.pitch)
+        fp.outside_diameter = fp.pitch_diameter + 2 * fp.thickness
+        # checksbackwardcompatibility:
+        if not "addendum_diameter" in fp.PropertiesList:
+            self.add_limiting_diameter_properties(fp)
+        fp.addendum_diameter = "{}mm".format(fp.gear.df)  # swap addendum and dedendum for "internal"
+        fp.root_diameter = "{}mm".format(fp.gear.da)  # swap addendum and dedendum for "internal"
+
+        outer_circle = part.Wire(part.makeCircle(fp.outside_diameter / 2.0))
+        outer_circle.reverse()
+        if not fp.simple:
+            # head-fillet:
+            pts = fp.gear.points(num=fp.numpoints)
+            rot = rotation(fp.gear.phipart)
+            rotated_pts = list(map(rot, pts))
+            pts.append([pts[-1][-1], rotated_pts[0][0]])
+            pts += rotated_pts
+            tooth = points_to_wire(pts)
+            r_head = float(fp.root_fillet * fp.module)  # reversing head
+            r_root = float(fp.head_fillet * fp.module)  # and foot
+            edges = tooth.Edges
+            if len(tooth.Edges) == 11:
+                pos_head = [1, 3, 9]
+                pos_root = [6, 8]
+                edge_range = [2, 12]
+            else:
+                pos_head = [0, 2, 6]
+                pos_root = [4, 6]
+                edge_range = [1, 9]
+
+            for pos in pos_head:
+                edges = insert_fillet(edges, pos, r_head)
+
+            for pos in pos_root:
+                try:
+                    edges = insert_fillet(edges, pos, r_root)
+                except RuntimeError:
+                    edges.pop(8)
+                    edges.pop(6)
+                    edge_range = [2, 10]
+                    pos_root = [5, 7]
+                    for pos in pos_root:
+                        edges = insert_fillet(edges, pos, r_root)
+                    break
+            edges = edges[edge_range[0] : edge_range[1]]
+            edges = [e for e in edges if e is not None]
+
+            tooth = part.Wire(edges)
+            profile = rotate_tooth(tooth, fp.num_teeth)
+            if fp.height.Value == 0:
+                return part.makeCompound([outer_circle, profile])
+            base = part.Face([outer_circle, profile])
+            if fp.gear.beta == 0:
+                return base.extrude(app.Vector(0, 0, fp.height.Value))
+            else:
+                twist_angle = fp.height.Value * np.tan(fp.gear.beta) * 2 / fp.gear.d
+                return helical_extrusion(
+                    base, fp.height.Value, twist_angle, fp.double_helix
+                )
+        else:
+            inner_circle = part.Wire(part.makeCircle(fp.pitch_diameter / 2.0))
+            inner_circle.reverse()
+            base = part.Face([outer_circle, inner_circle])
+            return base.extrude(app.Vector(0, 0, fp.height.Value))

freecad/gears/involutegear.py

@@ -0,0 +1,466 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * This program is distributed in the hope that it will be useful,         *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+# * GNU General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+import numpy as np
+
+from freecad import app
+from freecad import part
+
+from pygears.involute_tooth import InvoluteTooth
+from pygears._functions import rotation
+
+QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
+
+from .basegear import (
+    BaseGear,
+    points_to_wire,
+    insert_fillet,
+    helical_extrusion,
+    rotate_tooth,
+)
+
+
+class InvoluteGear(BaseGear):
+    """FreeCAD gear"""
+
+    def __init__(self, obj):
+        super(InvoluteGear, self).__init__(obj)
+        self.involute_tooth = InvoluteTooth()
+
+        obj.addProperty(
+            "App::PropertyPythonObject",
+            "gear",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "python gear object"),
+        )
+
+        self.add_gear_properties(obj)
+        self.add_fillet_properties(obj)
+        self.add_helical_properties(obj)
+        self.add_computed_properties(obj)
+        self.add_tolerance_properties(obj)
+        self.add_accuracy_properties(obj)
+        self.add_hole_properties(obj)
+        obj.gear = self.involute_tooth
+        obj.simple = False
+        obj.undercut = False
+        obj.num_teeth = (15, 3, 10000, 1)  # default, min, max, step
+        obj.module = "1. mm"
+        obj.shift = 0.0
+        obj.pressure_angle = "20. deg"
+        obj.helix_angle = "0. deg"
+        obj.height = "5. mm"
+        obj.clearance = 0.25
+        obj.head = 0.0
+        obj.numpoints = 20
+        obj.double_helix = False
+        obj.backlash = "0.00 mm"
+        obj.reversed_backlash = False
+        obj.properties_from_tool = False
+        obj.head_fillet = 0
+        obj.root_fillet = 0
+        obj.axle_hole = False
+        obj.axle_holesize = "10.mm"
+        obj.offset_hole = False
+        obj.offset_holesize = "10.mm"
+        obj.offset_holeoffset = "10.mm"
+        self.obj = obj
+        obj.Proxy = self
+        self.compute_traverse_properties(obj)
+
+    def onDocumentRestored(self, obj):
+        """  
+        backward compatibility functions
+        """
+        # replace dw with pitch_diameter
+        if hasattr(obj, "dw"):
+            pitch_diameter = getattr(obj, "dw")
+            obj.addProperty(
+                "App::PropertyLength",
+                "pitch_diameter",
+                "computed",
+                QT_TRANSLATE_NOOP("App::Property", "The pitch diameter."),
+                8,
+            )
+            obj.pitch_diameter = pitch_diameter
+            obj.removeProperty("dw")
+            obj.setExpression(
+                "angular_backlash", "backlash / pitch_diameter * 360° / pi"
+            )
+        # replace da with addendum_diameter
+        if hasattr(obj, "da"):
+            addendum_diameter = getattr(obj, "da")
+            obj.addProperty(
+                "App::PropertyLength",
+                "addendum_diameter",
+                "computed",
+                QT_TRANSLATE_NOOP("App::Property", "The addendum diameter."),
+                8,
+            )
+            obj.addendum_diameter = addendum_diameter
+            obj.removeProperty("da")
+
+        # replace df with root_diameter
+        if hasattr(obj, "df"):
+            root_diameter = getattr(obj, "df")
+            obj.addProperty(
+                "App::PropertyLength",
+                "root_diameter",
+                "computed",
+                QT_TRANSLATE_NOOP("App::Property", "The root diameter."),
+                8,
+            )
+            obj.root_diameter = root_diameter
+            obj.removeProperty("df")
+
+
+        # replace beta with helix_angle
+        if hasattr(obj, "beta"):
+            helix_angle = getattr(obj, "beta")
+            obj.addProperty(
+                "App::PropertyAngle",
+                "helix_angle",
+                "helical",
+                QT_TRANSLATE_NOOP("App::Property", "helix angle"),
+            )
+            obj.helix_angle = helix_angle
+            obj.removeProperty("beta")
+
+
+    def add_hole_properties(self, obj):
+        """Add properties for the central hole"""
+        obj.addProperty(
+            "App::PropertyBool",
+            "axle_hole",
+            "hole",
+            QT_TRANSLATE_NOOP("App::Property", "enable central hole for axle"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "axle_holesize",
+            "hole",
+            QT_TRANSLATE_NOOP("App::Property", "diameter of central hole for axle"),
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "offset_hole",
+            "hole",
+            QT_TRANSLATE_NOOP("App::Property", "enable offset hole"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "offset_holesize",
+            "hole",
+            QT_TRANSLATE_NOOP("App::Property", "diameter of offset hole"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "offset_holeoffset",
+            "hole",
+            QT_TRANSLATE_NOOP("App::Property", "offset of offset hole"),
+        )
+
+    def add_gear_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyIntegerConstraint",
+            "num_teeth",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "number of teeth"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "module",
+            "base",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "normal module if properties_from_tool=True, else it's the transverse module.",
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "height",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "height"),
+        )
+        obj.addProperty(
+            "App::PropertyAngle",
+            "pressure_angle",
+            "involute",
+            QT_TRANSLATE_NOOP("App::Property", "pressure angle"),
+        )
+        obj.addProperty(
+            "App::PropertyFloat",
+            "shift",
+            "involute",
+            QT_TRANSLATE_NOOP("App::Property", "shift"),
+        )
+
+    def add_fillet_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyBool",
+            "undercut",
+            "fillets",
+            QT_TRANSLATE_NOOP("App::Property", "undercut"),
+        )
+        obj.addProperty(
+            "App::PropertyFloatConstraint",
+            "head_fillet",
+            "fillets",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "a fillet for the tooth-head, radius = head_fillet x module",
+            ),
+        ).head_fillet = (0.0, 0.0, 1000.0, 0.01)
+        obj.addProperty(
+            "App::PropertyFloatConstraint",
+            "root_fillet",
+            "fillets",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "a fillet for the tooth-root, radius = root_fillet x module",
+            ),
+        ).root_fillet = (0.0, 0.0, 1000.0, 0.01)
+
+    def add_helical_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyBool",
+            "properties_from_tool",
+            "helical",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "if helix_angle is given and properties_from_tool is enabled, gear parameters are internally recomputed for the rotated gear",
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyAngle",
+            "helix_angle",
+            "helical",
+            QT_TRANSLATE_NOOP("App::Property", "helix angle"),
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "double_helix",
+            "helical",
+            QT_TRANSLATE_NOOP("App::Property", "double helix"),
+        )
+
+    def add_computed_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyLength",
+            "addendum_diameter",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "The outside diameter"),
+            8,
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "root_diameter",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "The root diameter"),
+            8,
+        )
+        self.add_traverse_module_property(obj)
+        obj.addProperty(
+            "App::PropertyLength",
+            "pitch_diameter",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "The pitch diameter."),
+            8,
+        )
+        obj.addProperty(
+            "App::PropertyAngle",
+            "angular_backlash",
+            "computed",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "The angle by which this gear can turn without moving the mating gear.",
+            ),
+            8,
+        )
+        obj.setExpression(
+            "angular_backlash", "backlash / pitch_diameter * 360° / pi"
+        )  # calculate via expression to ease usage for placement
+        obj.setEditorMode(
+            "angular_backlash", 1
+        )  # set read-only after setting the expression, else it won't be visible. bug?
+        obj.addProperty(
+            "App::PropertyLength",
+            "transverse_pitch",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "transverse_pitch"),
+            8,
+        )
+
+    def add_tolerance_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyLength",
+            "backlash",
+            "tolerance",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "The arc length on the pitch circle by which the tooth thickness is reduced.",
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "reversed_backlash",
+            "tolerance",
+            QT_TRANSLATE_NOOP("App::Property", "backlash direction"),
+        )
+        obj.addProperty(
+            "App::PropertyFloat",
+            "clearance",
+            "tolerance",
+            QT_TRANSLATE_NOOP("App::Property", "clearance"),
+        )
+        obj.addProperty(
+            "App::PropertyFloat",
+            "head",
+            "tolerance",
+            QT_TRANSLATE_NOOP(
+                "App::Property", "head_value * module_value = additional length of head"
+            ),
+        )
+
+    def add_accuracy_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyBool",
+            "simple",
+            "accuracy",
+            QT_TRANSLATE_NOOP("App::Property", "simple"),
+        )
+        obj.addProperty(
+            "App::PropertyInteger",
+            "numpoints",
+            "accuracy",
+            QT_TRANSLATE_NOOP("App::Property", "number of points for spline"),
+        )
+
+    def add_traverse_module_property(self, obj):
+        obj.addProperty(
+            "App::PropertyLength",
+            "traverse_module",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "traverse module of the generated gear"),
+            8,
+        )
+
+    def compute_traverse_properties(self, obj):
+        # traverse_module added recently, if old freecad doc is loaded without it, it will not exist when generate_gear_shape() is called
+        if not hasattr(obj, "traverse_module"):
+            self.add_traverse_module_property(obj)
+        if obj.properties_from_tool:
+            obj.traverse_module = obj.module / np.cos(obj.gear.beta)
+        else:
+            obj.traverse_module = obj.module
+
+        obj.transverse_pitch = "{}mm".format(obj.gear.pitch)
+        obj.addendum_diameter = "{}mm".format(obj.gear.da)
+        obj.root_diameter = "{}mm".format(obj.gear.df)
+        obj.pitch_diameter = "{}mm".format(obj.gear.dw)
+
+    def generate_gear_shape(self, obj):
+        obj.gear.double_helix = obj.double_helix
+        obj.gear.m_n = obj.module.Value
+        obj.gear.undercut = obj.undercut
+        obj.gear.shift = obj.shift
+        obj.gear.pressure_angle = obj.pressure_angle.Value * np.pi / 180.0
+        obj.gear.beta = obj.helix_angle.Value * np.pi / 180
+        obj.gear.clearance = obj.clearance
+        obj.gear.backlash = obj.backlash.Value * (-obj.reversed_backlash + 0.5) * 2.0
+        obj.gear.head = obj.head
+        obj.gear.properties_from_tool = obj.properties_from_tool
+        obj.gear.num_teeth = obj.num_teeth
+
+        obj.gear._update()
+        self.compute_traverse_properties(obj)
+
+        if not obj.simple:
+            pts = obj.gear.points(num=obj.numpoints)
+            rot = rotation(obj.gear.phipart)
+            rotated_pts = list(map(rot, pts))
+            pts.append([pts[-1][-1], rotated_pts[0][0]])
+            pts += rotated_pts
+            tooth = points_to_wire(pts)
+            edges = tooth.Edges
+
+            # head-fillet:
+            r_head = float(obj.head_fillet * obj.module)
+            r_root = float(obj.root_fillet * obj.module)
+            if obj.undercut and r_root != 0.0:
+                r_root = 0.0
+                app.Console.PrintWarning(
+                    "root fillet is not allowed if undercut is computed"
+                )
+            if len(tooth.Edges) == 11:
+                pos_head = [1, 3, 9]
+                pos_root = [6, 8]
+                edge_range = [2, 12]
+            else:
+                pos_head = [0, 2, 6]
+                pos_root = [4, 6]
+                edge_range = [1, 9]
+
+            for pos in pos_head:
+                edges = insert_fillet(edges, pos, r_head)
+
+            for pos in pos_root:
+                try:
+                    edges = insert_fillet(edges, pos, r_root)
+                except RuntimeError:
+                    edges.pop(8)
+                    edges.pop(6)
+                    edge_range = [2, 10]
+                    pos_root = [5, 7]
+                    for pos in pos_root:
+                        edges = insert_fillet(edges, pos, r_root)
+                    break
+            edges = edges[edge_range[0] : edge_range[1]]
+            edges = [e for e in edges if e is not None]
+
+            tooth = part.Wire(edges)
+            profile = rotate_tooth(tooth, obj.num_teeth)
+
+            if obj.height.Value == 0:
+                gear_shape = profile
+            else:
+                base = part.Face(profile)
+                if obj.gear.beta == 0:
+                    gear_shape = base.extrude(app.Vector(0, 0, obj.height.Value))
+                else:
+                    twist_angle = obj.height.Value * np.tan(obj.gear.beta) * 2 / obj.gear.d
+                    gear_shape = helical_extrusion(
+                        base, obj.height.Value, twist_angle, obj.double_helix
+                    )
+        else:
+            rw = obj.gear.dw / 2
+            gear_shape = part.makeCylinder(rw, obj.height.Value)
+        if hasattr(obj, "axle_hole"):
+            if obj.axle_hole and obj.axle_holesize.Value > 0:
+                axle_hole = part.makeCylinder(obj.axle_holesize.Value/2, obj.height.Value*2)
+                axle_hole.Placement.Base = app.Vector(0, 0, -obj.height.Value/2)
+                gear_shape = gear_shape.cut(axle_hole)
+
+            if obj.offset_hole and obj.offset_holesize.Value > 0:
+                hole = part.makeCylinder(obj.offset_holesize.Value/2, obj.height.Value*2)
+                hole.Placement.Base = app.Vector(-obj.offset_holeoffset.Value, 0, -obj.height.Value/2)
+                gear_shape = gear_shape.cut(hole)
+
+        return gear_shape
+
+

freecad/gears/involutegearrack.py

@@ -0,0 +1,307 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * This program is distributed in the hope that it will be useful,         *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+# * GNU General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+import numpy as np
+
+from freecad import app
+from freecad import part
+
+from pygears.involute_tooth import InvoluteRack
+from .basegear import BaseGear, fcvec, points_to_wire, insert_fillet
+
+QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
+
+
+class InvoluteGearRack(BaseGear):
+    """FreeCAD gear rack"""
+
+    def __init__(self, obj):
+        super(InvoluteGearRack, self).__init__(obj)
+        self.involute_rack = InvoluteRack()
+        obj.addProperty(
+            "App::PropertyIntegerConstraint",
+            "num_teeth",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "number of teeth"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "height",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "height"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "module",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "module"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "thickness",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "thickness"),
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "simplified",
+            "precision",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "if enabled the rack is drawn with a constant number of teeth to avoid topologic renaming.",
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyPythonObject",
+            "rack",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "test"),
+        )
+
+        self.add_helical_properties(obj)
+        self.add_computed_properties(obj)
+        self.add_tolerance_properties(obj)
+        self.add_involute_properties(obj)
+        self.add_fillet_properties(obj)
+        obj.rack = self.involute_rack
+        obj.num_teeth = (15, 3, 10000, 1)  # default, min, max, step
+        obj.module = "1. mm"
+        obj.pressure_angle = "20. deg"
+        obj.height = "5. mm"
+        obj.thickness = "5 mm"
+        obj.helix_angle = "0. deg"
+        obj.clearance = 0.25
+        obj.head = 0.0
+        obj.properties_from_tool = False
+        obj.add_endings = True
+        obj.simplified = False
+        self.obj = obj
+        obj.Proxy = self
+
+    def onDocumentRestored(self, obj):
+        """  
+        backward compatibility functions
+        """
+        # replace beta with helix_angle
+        if hasattr(obj, "beta"):
+            helix_angle = getattr(obj, "beta")
+            obj.addProperty(
+                "App::PropertyAngle",
+                "helix_angle",
+                "helical",
+                QT_TRANSLATE_NOOP("App::Property", "helix angle"),
+            )
+            obj.helix_angle = helix_angle
+            obj.removeProperty("beta")
+
+    def add_helical_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyBool",
+            "properties_from_tool",
+            "helical",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "if helix_angle is given and properties_from_tool is enabled, gear parameters are internally recomputed for the rotated gear",
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyAngle",
+            "helix_angle",
+            "helical",
+            QT_TRANSLATE_NOOP("App::Property", "helix angle"),
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "double_helix",
+            "helical",
+            QT_TRANSLATE_NOOP("App::Property", "double helix"),
+        )
+
+    def add_computed_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyLength",
+            "transverse_pitch",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "pitch in the transverse plane"),
+            1,
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "add_endings",
+            "base",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "if enabled the total length of the rack is teeth x pitch, otherwise the rack starts with a tooth-flank",
+            ),
+        )
+
+    def add_tolerance_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyFloat",
+            "head",
+            "tolerance",
+            QT_TRANSLATE_NOOP(
+                "App::Property", "head * module = additional length of head"
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyFloat",
+            "clearance",
+            "tolerance",
+            QT_TRANSLATE_NOOP(
+                "App::Property", "clearance * module = additional length of root"
+            ),
+        )
+
+    def add_involute_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyAngle",
+            "pressure_angle",
+            "involute",
+            QT_TRANSLATE_NOOP("App::Property", "pressure angle"),
+        )
+
+    def add_fillet_properties(self, obj):
+        obj.addProperty(
+            "App::PropertyFloatConstraint",
+            "head_fillet",
+            "fillets",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "a fillet for the tooth-head, radius = head_fillet x module",
+            ),
+        ).head_fillet = (0.0, 0.0, 1000.0, 0.01)
+        obj.addProperty(
+            "App::PropertyFloatConstraint",
+            "root_fillet",
+            "fillets",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "a fillet for the tooth-root, radius = root_fillet x module",
+            ),
+        ).root_fillet = (0.0, 0.0, 1000.0, 0.01)
+
+    def generate_gear_shape(self, obj):
+        obj.rack.m = obj.module.Value
+        obj.rack.z = obj.num_teeth
+        obj.rack.pressure_angle = obj.pressure_angle.Value * np.pi / 180.0
+        obj.rack.thickness = obj.thickness.Value
+        obj.rack.beta = obj.helix_angle.Value * np.pi / 180.0
+        obj.rack.head = obj.head
+        # checksbackwardcompatibility:
+        if "clearance" in obj.PropertiesList:
+            obj.rack.clearance = obj.clearance
+        if "properties_from_tool" in obj.PropertiesList:
+            obj.rack.properties_from_tool = obj.properties_from_tool
+        if "add_endings" in obj.PropertiesList:
+            obj.rack.add_endings = obj.add_endings
+        if "simplified" in obj.PropertiesList:
+            obj.rack.simplified = obj.simplified
+        obj.rack._update()
+        m, m_n, pitch, pressure_angle_t = obj.rack.compute_properties()
+        obj.transverse_pitch = "{} mm".format(pitch)
+        t = obj.thickness.Value
+        c = obj.clearance
+        h = obj.head
+        alpha = obj.pressure_angle.Value * np.pi / 180.0
+        head_fillet = obj.head_fillet
+        root_fillet = obj.root_fillet
+        x1 = -m * np.pi / 2
+        y1 = -m * (1 + c)
+        y2 = y1
+        x2 = -m * np.pi / 4 + y2 * np.tan(alpha)
+        y3 = m * (1 + h)
+        x3 = -m * np.pi / 4 + y3 * np.tan(alpha)
+        x4 = -x3
+        x5 = -x2
+        x6 = -x1
+        y4 = y3
+        y5 = y2
+        y6 = y1
+        p1 = np.array([y1, x1])
+        p2 = np.array([y2, x2])
+        p3 = np.array([y3, x3])
+        p4 = np.array([y4, x4])
+        p5 = np.array([y5, x5])
+        p6 = np.array([y6, x6])
+        line1 = [p1, p2]
+        line2 = [p2, p3]
+        line3 = [p3, p4]
+        line4 = [p4, p5]
+        line5 = [p5, p6]
+        tooth = part.Wire(points_to_wire([line1, line2, line3, line4, line5]))
+
+        edges = tooth.Edges
+        edges = insert_fillet(edges, 0, m * root_fillet)
+        edges = insert_fillet(edges, 2, m * head_fillet)
+        edges = insert_fillet(edges, 4, m * head_fillet)
+        edges = insert_fillet(edges, 6, m * root_fillet)
+
+        tooth_edges = [e for e in edges if e is not None]
+        p_end = np.array(tooth_edges[-2].lastVertex().Point[:-1])
+        p_start = np.array(tooth_edges[1].firstVertex().Point[:-1])
+        p_start += np.array([0, np.pi * m])
+        edge = points_to_wire([[p_end, p_start]]).Edges
+        tooth = part.Wire(tooth_edges[1:-1] + edge)
+        teeth = [tooth]
+
+        for i in range(obj.num_teeth - 1):
+            tooth = tooth.copy()
+            tooth.translate(app.Vector(0, np.pi * m, 0))
+            teeth.append(tooth)
+
+        teeth[-1] = part.Wire(teeth[-1].Edges[:-1])
+
+        if obj.add_endings:
+            teeth = [part.Wire(tooth_edges[0])] + teeth
+            last_edge = tooth_edges[-1]
+            last_edge.translate(app.Vector(0, np.pi * m * (obj.num_teeth - 1), 0))
+            teeth = teeth + [part.Wire(last_edge)]
+
+        p_start = np.array(teeth[0].Edges[0].firstVertex().Point[:-1])
+        p_end = np.array(teeth[-1].Edges[-1].lastVertex().Point[:-1])
+        p_start_1 = p_start - np.array([obj.thickness.Value, 0.0])
+        p_end_1 = p_end - np.array([obj.thickness.Value, 0.0])
+
+        line6 = [p_start, p_start_1]
+        line7 = [p_start_1, p_end_1]
+        line8 = [p_end_1, p_end]
+
+        bottom = points_to_wire([line6, line7, line8])
+
+        pol = part.Wire([bottom] + teeth)
+
+        if obj.height.Value == 0:
+            return pol
+        elif obj.rack.beta == 0:
+            face = part.Face(part.Wire(pol))
+            return face.extrude(fcvec([0.0, 0.0, obj.height.Value]))
+        elif obj.double_helix:
+            pol2 = part.Wire(pol)
+            pol2.translate(
+                fcvec([0.0, np.tan(obj.rack.beta) * obj.height.Value / 2, obj.height.Value / 2])
+            )
+            pol3 = part.Wire(pol)
+            pol3.translate(fcvec([0.0, 0.0, obj.height.Value]))
+            return part.makeLoft([pol, pol2, pol3], True, True)
+        else:
+            pol2 = part.Wire(pol)
+            pol2.translate(
+                fcvec([0.0, np.tan(obj.rack.beta) * obj.height.Value, obj.height.Value])
+            )
+            return part.makeLoft([pol, pol2], True)

freecad/gears/lanterngear.py

@@ -0,0 +1,150 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * This program is distributed in the hope that it will be useful,         *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+# * GNU General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+import numpy as np
+import scipy as sp
+
+from freecad import app
+from freecad import part
+
+from pygears.bevel_tooth import BevelTooth
+from pygears._functions import rotation
+
+from .basegear import BaseGear, fcvec, part_arc_from_points_and_center
+
+QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
+
+
+class LanternGear(BaseGear):
+    def __init__(self, obj):
+        super(LanternGear, self).__init__(obj)
+        obj.addProperty(
+            "App::PropertyIntegerConstraint",
+            "num_teeth",
+            "gear_parameter",
+            QT_TRANSLATE_NOOP("App::Property", "number of teeth"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "module",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "module"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "bolt_radius",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "the bolt radius of the rack/chain"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "height",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "height"),
+        )
+        obj.addProperty(
+            "App::PropertyInteger",
+            "num_profiles",
+            "accuracy",
+            QT_TRANSLATE_NOOP("App::Property", "number of profiles used for loft"),
+        )
+        obj.addProperty(
+            "App::PropertyFloat",
+            "head",
+            "tolerance",
+            QT_TRANSLATE_NOOP(
+                "App::Property", "head * module = additional length of head"
+            ),
+        )
+
+        obj.num_teeth = (15, 3, 10000, 1)  # default, min, max, step
+        obj.module = "1. mm"
+        obj.bolt_radius = "1 mm"
+
+        obj.height = "5. mm"
+        obj.num_profiles = 10
+
+        self.obj = obj
+        obj.Proxy = self
+
+    def generate_gear_shape(self, fp):
+        m = fp.module.Value
+        teeth = fp.num_teeth
+        r_r = fp.bolt_radius.Value
+        r_0 = m * teeth / 2
+        r_max = r_0 + r_r + fp.head * m
+
+        phi_max = (r_r + np.sqrt(r_max**2 - r_0**2)) / r_0
+
+        def find_phi_min(phi_min):
+            return r_0 * (
+                phi_min**2 * r_0
+                - 2 * phi_min * r_0 * np.sin(phi_min)
+                - 2 * phi_min * r_r
+                - 2 * r_0 * np.cos(phi_min)
+                + 2 * r_0
+                + 2 * r_r * np.sin(phi_min)
+            )
+
+        phi_min = sp.optimize.root(find_phi_min, (phi_max + r_r / r_0 * 4) / 5).x[
+            0
+        ]  # , r_r / r_0, phi_max)
+
+        # phi_min = 0 # r_r / r_0
+        phi = np.linspace(phi_min, phi_max, fp.num_profiles)
+        x = r_0 * (np.cos(phi) + phi * np.sin(phi)) - r_r * np.sin(phi)
+        y = r_0 * (np.sin(phi) - phi * np.cos(phi)) + r_r * np.cos(phi)
+        xy1 = np.array([x, y]).T
+        p_1 = xy1[0]
+        p_1_end = xy1[-1]
+        bsp_1 = part.BSplineCurve()
+        bsp_1.interpolate(list(map(fcvec, xy1)))
+        w_1 = bsp_1.toShape()
+
+        xy2 = xy1 * np.array([1.0, -1.0])
+        p_2 = xy2[0]
+        p_2_end = xy2[-1]
+        bsp_2 = part.BSplineCurve()
+        bsp_2.interpolate(list(map(fcvec, xy2)))
+        w_2 = bsp_2.toShape()
+
+        p_12 = np.array([r_0 - r_r, 0.0])
+
+        arc = part.Arc(
+            app.Vector(*p_1, 0.0), app.Vector(*p_12, 0.0), app.Vector(*p_2, 0.0)
+        ).toShape()
+
+        rot = rotation(np.pi * 2 / teeth)
+        p_3 = rot(np.array([p_2_end]))[0]
+        # l = part.LineSegment(fcvec(p_1_end), fcvec(p_3)).toShape()
+        l = part_arc_from_points_and_center(
+            p_1_end, p_3, np.array([0.0, 0.0])
+        ).toShape()
+        w = part.Wire([w_2, arc, w_1, l])
+        wires = [w]
+
+        rot = app.Matrix()
+        for _ in range(teeth - 1):
+            rot.rotateZ(np.pi * 2 / teeth)
+            wires.append(w.transformGeometry(rot))
+
+        wi = part.Wire(wires)
+        if fp.height.Value == 0:
+            return wi
+        else:
+            return part.Face(wi).extrude(app.Vector(0, 0, fp.height))

freecad/gears/timinggear.py

@@ -0,0 +1,325 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * This program is distributed in the hope that it will be useful,         *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+# * GNU General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+import numpy as np
+
+from freecad import app
+from freecad import part
+
+from pygears._functions import reflection
+from .basegear import BaseGear, part_arc_from_points_and_center
+
+QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
+
+
+class TimingGear(BaseGear):
+    """FreeCAD gear rack"""
+
+    data = {
+        "gt2": {
+            "pitch": 2.0,
+            "u": 0.254,
+            "h": 0.75,
+            "H": 1.38,
+            "r0": 0.555,
+            "r1": 1.0,
+            "rs": 0.15,
+            "offset": 0.40,
+        },
+        "gt3": {
+            "pitch": 3.0,
+            "u": 0.381,
+            "h": 1.14,
+            "H": 2.40,
+            "r0": 0.85,
+            "r1": 1.52,
+            "rs": 0.25,
+            "offset": 0.61,
+        },
+        "gt5": {
+            "pitch": 5.0,
+            "u": 0.5715,
+            "h": 1.93,
+            "H": 3.81,
+            "r0": 1.44,
+            "r1": 2.57,
+            "rs": 0.416,
+            "offset": 1.03,
+        },
+        "gt8": {
+            "pitch": 8.0,
+            "u": 0.9144,
+            "h": 3.088,
+            "H": 6.096,
+            "r0": 2.304,
+            "r1": 4.112,
+            "rs": 0.6656,
+            "offset": 1.648,
+        },
+        "htd3": {
+            "pitch": 3.0,
+            "u": 0.381,
+            "h": 1.21,
+            "H": 2.40,
+            "r0": 0.89,
+            "r1": 0.89,
+            "rs": 0.26,
+            "offset": 0.0,
+        },
+        "htd5": {
+            "pitch": 5.0,
+            "u": 0.5715,
+            "h": 2.06,
+            "H": 3.80,
+            "r0": 1.49,
+            "r1": 1.49,
+            "rs": 0.43,
+            "offset": 0.0,
+        },
+        "htd8": {
+            "pitch": 8.0,
+            "u": 0.686,
+            "h": 3.45,
+            "H": 6.00,
+            "r0": 2.46,
+            "r1": 2.46,
+            "rs": 0.70,
+            "offset": 0.0,
+        },
+    }
+
+    def __init__(self, obj):
+        super(TimingGear, self).__init__(obj)
+        obj.addProperty(
+            "App::PropertyIntegerConstraint",
+            "num_teeth",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "number of teeth"),
+        )
+        obj.addProperty(
+            "App::PropertyEnumeration",
+            "type",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "type of timing-gear"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "height",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "height"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "pitch",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "pitch of gear"),
+            1,
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "h",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "radial height of teeth"),
+            1,
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "u",
+            "computed",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "radial difference between pitch diameter and head of gear",
+            ),
+            1,
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "r0",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "radius of first arc"),
+            1,
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "r1",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "radius of second arc"),
+            1,
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "rs",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "radius of third arc"),
+            1,
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "offset",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "x-offset of second arc-midpoint"),
+            1,
+        )
+        obj.num_teeth = (15, 3, 10000, 1)  # default, min, max, step
+        obj.type = ["gt2", "gt3", "gt5", "gt8", "htd3", "htd5", "htd8"]
+        obj.height = "5. mm"
+
+        self.obj = obj
+        obj.Proxy = self
+
+    def generate_gear_shape(self, fp):
+        # m ... center of arc/circle
+        # r ... radius of arc/circle
+        # x ... end-point of arc
+        # phi ... angle
+        tp = fp.type
+        gt_data = self.data[tp]
+        pitch = fp.pitch = gt_data["pitch"]
+        h = fp.h = gt_data["h"]
+        u = fp.u = gt_data["u"]
+        r_12 = fp.r0 = gt_data["r0"]
+        r_23 = fp.r1 = gt_data["r1"]
+        r_34 = fp.rs = gt_data["rs"]
+        offset = fp.offset = gt_data["offset"]
+
+        arcs = []
+        if offset == 0.0:
+            phi5 = np.pi / fp.num_teeth
+            ref = reflection(-phi5 - np.pi / 2.0)
+            rp = pitch * fp.num_teeth / np.pi / 2.0 - u
+
+            m_34 = np.array([-(r_12 + r_34), rp - h + r_12])
+            x2 = np.array([-r_12, m_34[1]])
+            x4 = np.array([m_34[0], m_34[1] + r_34])
+            x6 = ref(x4)
+
+            mir = np.array([-1.0, 1.0])
+            xn2 = mir * x2
+            xn4 = mir * x4
+            mn_34 = mir * m_34
+
+            arcs.append(part_arc_from_points_and_center(xn4, xn2, mn_34).toShape())
+            arcs.append(
+                part.Arc(
+                    app.Vector(*xn2, 0.0),
+                    app.Vector(0, rp - h, 0.0),
+                    app.Vector(*x2, 0.0),
+                ).toShape()
+            )
+            arcs.append(part_arc_from_points_and_center(x2, x4, m_34).toShape())
+            arcs.append(
+                part_arc_from_points_and_center(x4, x6, np.array([0.0, 0.0])).toShape()
+            )
+
+        else:
+            phi_12 = np.arctan(np.sqrt(1.0 / (((r_12 - r_23) / offset) ** 2 - 1)))
+            rp = pitch * fp.num_teeth / np.pi / 2.0
+            r4 = r5 = rp - u
+
+            m_12 = np.array([0.0, r5 - h + r_12])
+            m_23 = np.array([offset, offset / np.tan(phi_12) + m_12[1]])
+            m_23y = m_23[1]
+
+            # solving for phi4:
+            # sympy.solve(
+            # ((r5 - r_34) * sin(phi4) + offset) ** 2 + \
+            # ((r5 - r_34) * cos(phi4) - m_23y) ** 2 - \
+            # ((r_34 + r_23) ** 2), phi4)
+
+            phi4 = 2 * np.arctan(
+                (
+                    -2 * offset * r5
+                    + 2 * offset * r_34
+                    + np.sqrt(
+                        -(m_23y**4)
+                        - 2 * m_23y**2 * offset**2
+                        + 2 * m_23y**2 * r5**2
+                        - 4 * m_23y**2 * r5 * r_34
+                        + 2 * m_23y**2 * r_23**2
+                        + 4 * m_23y**2 * r_23 * r_34
+                        + 4 * m_23y**2 * r_34**2
+                        - offset**4
+                        + 2 * offset**2 * r5**2
+                        - 4 * offset**2 * r5 * r_34
+                        + 2 * offset**2 * r_23**2
+                        + 4 * offset**2 * r_23 * r_34
+                        + 4 * offset**2 * r_34**2
+                        - r5**4
+                        + 4 * r5**3 * r_34
+                        + 2 * r5**2 * r_23**2
+                        + 4 * r5**2 * r_23 * r_34
+                        - 4 * r5**2 * r_34**2
+                        - 4 * r5 * r_23**2 * r_34
+                        - 8 * r5 * r_23 * r_34**2
+                        - r_23**4
+                        - 4 * r_23**3 * r_34
+                        - 4 * r_23**2 * r_34**2
+                    )
+                )
+                / (
+                    m_23y**2
+                    + 2 * m_23y * r5
+                    - 2 * m_23y * r_34
+                    + offset**2
+                    + r5**2
+                    - 2 * r5 * r_34
+                    - r_23**2
+                    - 2 * r_23 * r_34
+                )
+            )
+
+            phi5 = np.pi / fp.num_teeth
+
+            m_34 = (r5 - r_34) * np.array([-np.sin(phi4), np.cos(phi4)])
+
+            x2 = np.array([-r_12 * np.sin(phi_12), m_12[1] - r_12 * np.cos(phi_12)])
+            x3 = m_34 + r_34 / (r_34 + r_23) * (m_23 - m_34)
+            x4 = r4 * np.array([-np.sin(phi4), np.cos(phi4)])
+
+            ref = reflection(-phi5 - np.pi / 2)
+            x6 = ref(x4)
+            mir = np.array([-1.0, 1.0])
+            xn2 = mir * x2
+            xn3 = mir * x3
+            xn4 = mir * x4
+
+            mn_34 = mir * m_34
+            mn_23 = mir * m_23
+
+            arcs.append(part_arc_from_points_and_center(xn4, xn3, mn_34).toShape())
+            arcs.append(part_arc_from_points_and_center(xn3, xn2, mn_23).toShape())
+            arcs.append(part_arc_from_points_and_center(xn2, x2, m_12).toShape())
+            arcs.append(part_arc_from_points_and_center(x2, x3, m_23).toShape())
+            arcs.append(part_arc_from_points_and_center(x3, x4, m_34).toShape())
+            arcs.append(
+                part_arc_from_points_and_center(x4, x6, np.array([0.0, 0.0])).toShape()
+            )
+
+        wire = part.Wire(arcs)
+        wires = [wire]
+        rot = app.Matrix()
+        rot.rotateZ(np.pi * 2 / fp.num_teeth)
+        for _ in range(fp.num_teeth - 1):
+            wire = wire.transformGeometry(rot)
+            wires.append(wire)
+
+        wi = part.Wire(wires)
+        if fp.height.Value == 0:
+            return wi
+        else:
+            return part.Face(wi).extrude(app.Vector(0, 0, fp.height))

freecad/gears/timinggear_t.py

@@ -0,0 +1,191 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * This program is distributed in the hope that it will be useful,         *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+# * GNU General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+
+import numpy as np
+import scipy as sp
+from scipy import optimize
+
+from freecad import app
+from freecad import part
+
+from pygears._functions import rotation, reflection
+
+from .basegear import BaseGear, fcvec, part_arc_from_points_and_center, insert_fillet
+
+QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
+
+
+class TimingGearT(BaseGear):
+    def __init__(self, obj):
+        obj.addProperty(
+            "App::PropertyLength",
+            "pitch",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "pitch of gear"),
+        )
+        obj.addProperty(
+            "App::PropertyIntegerConstraint",
+            "num_teeth",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "number of teeth"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "tooth_height",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "radial height of tooth"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "u",
+            "base",
+            QT_TRANSLATE_NOOP(
+                "App::Property", "radial distance from tooth-head to pitch circle"
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "backlash",
+            "tolerance",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "The arc length on the pitch circle by which the tooth thickness is reduced.",
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyFloatConstraint",
+            "head_fillet",
+            "fillets",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "a fillet for the tooth-head, radius = head_fillet x module",
+            ),
+        ).head_fillet = (0.0, 0.0, 1000.0, 0.01)
+        obj.addProperty(
+            "App::PropertyFloatConstraint",
+            "root_fillet",
+            "fillets",
+            QT_TRANSLATE_NOOP(
+                "App::Property",
+                "a fillet for the tooth-root, radius = root_fillet x module",
+            ),
+        ).root_fillet = (0.0, 0.0, 1000.0, 0.01)
+        obj.addProperty(
+            "App::PropertyAngle",
+            "alpha",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "angle of tooth flanks"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "height",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "extrusion height"),
+        )
+        obj.pitch = "5. mm"
+        obj.num_teeth = (15, 3, 10000, 1)  # default, min, max, step
+        obj.tooth_height = "1.2 mm"
+        obj.u = "0.6 mm"
+        obj.alpha = "40. deg"
+        obj.height = "5 mm"
+        obj.backlash = "0. mm"
+        obj.head_fillet = 0.4
+        obj.root_fillet = 0.4
+        self.obj = obj
+        obj.Proxy = self
+
+    def generate_gear_shape(self, obj):
+        pitch = obj.pitch.Value
+        teeth = obj.num_teeth
+        u = obj.u.Value
+        tooth_height = obj.tooth_height.Value
+        alpha = obj.alpha.Value / 180.0 * np.pi  # we need radiant
+        height = obj.height.Value
+        backlash = obj.backlash.Value
+        head_fillet = obj.head_fillet
+        root_fillet = obj.root_fillet
+
+        r_p = pitch * teeth / 2.0 / np.pi
+        gamma_0 = pitch / r_p
+        gamma_backlash = backlash / r_p
+        gamma_1 = gamma_0 / 4 - gamma_backlash
+        p_A = np.array([np.cos(-gamma_1), np.sin(-gamma_1)]) * (
+            r_p - u - tooth_height / 2
+        )
+
+        def line(s):
+            p = (
+                p_A
+                + np.array([np.cos(alpha / 2 - gamma_1), np.sin(alpha / 2 - gamma_1)])
+                * s
+            )
+            return p
+
+        def dist_p1(s):
+            return (np.linalg.norm(line(s)) - (r_p - u - tooth_height)) ** 2
+
+        def dist_p2(s):
+            return (np.linalg.norm(line(s)) - (r_p - u)) ** 2
+
+        s1 = sp.optimize.minimize(dist_p1, 0.0).x
+        s2 = sp.optimize.minimize(dist_p2, 0.0).x
+
+        p_1 = line(s1)
+        p_2 = line(s2)
+
+        mirror = reflection(0.0)  # reflect the points at the x-axis
+        p_3, p_4 = mirror(np.array([p_2, p_1]))
+
+        # for the fillets we need some more points
+        rot = rotation(gamma_0)
+        p_5, p_6, p_7 = rot(
+            np.array([p_1, p_2, p_3])
+        )  # the rotation expects a list of points
+
+        e1 = part.LineSegment(fcvec(p_1), fcvec(p_2)).toShape()
+        e2 = part_arc_from_points_and_center(p_2, p_3, np.array([0.0, 0.0])).toShape()
+        e3 = part.LineSegment(fcvec(p_3), fcvec(p_4)).toShape()
+        e4 = part_arc_from_points_and_center(p_4, p_5, np.array([0.0, 0.0])).toShape()
+        e5 = part.LineSegment(fcvec(p_5), fcvec(p_6)).toShape()
+        e6 = part_arc_from_points_and_center(p_6, p_7, np.array([0.0, 0.0])).toShape()
+        edges = [e1, e2, e3, e4, e5, e6]
+        edges = insert_fillet(edges, 4, head_fillet)
+
+        # somehow we need to reverse the normal here
+        edges = insert_fillet(edges, 3, root_fillet, reversed=True)
+        edges = insert_fillet(edges, 2, root_fillet, reversed=True)
+        edges = insert_fillet(edges, 1, head_fillet)
+        edges = insert_fillet(edges, 0, head_fillet)
+        edges = edges[2:-1]
+        edges = [edge for edge in edges if edge is not None]
+        w = part.Wire(edges)
+
+        # now using a FreeCAD Matrix (this will turn in the right direction)
+        rot = app.Matrix()
+        rot.rotateZ(gamma_0)
+        wires = []
+        for i in range(teeth):
+            w = w.transformGeometry(rot)
+            wires.append(w.copy())
+        contour = part.Wire(wires)
+        if height == 0:
+            return contour
+        else:
+            face = part.Face(part.Wire(wires))
+            return face.extrude(app.Vector(0.0, 0.0, height))

freecad/gears/translations/Gear.ts

@@ -0,0 +1,712 @@
+<?xml version="1.0" encoding="utf-8"?>
+<!DOCTYPE TS>
+<TS version="2.1">
+<context>
+    <name>App::Property</name>
+    <message>
+        <location filename="../basegear.py" line="101"/>
+        <location filename="../connector.py" line="72"/>
+        <source>freecad.gears-version</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="45"/>
+        <location filename="../crowngear.py" line="44"/>
+        <location filename="../cycloidgear.py" line="47"/>
+        <location filename="../cycloidgearrack.py" line="42"/>
+        <location filename="../internalinvolutegear.py" line="59"/>
+        <location filename="../involutegear.py" line="86"/>
+        <location filename="../involutegearrack.py" line="40"/>
+        <location filename="../lanterngear.py" line="40"/>
+        <location filename="../timinggear.py" line="112"/>
+        <location filename="../timinggear_t.py" line="46"/>
+        <location filename="../wormgear.py" line="41"/>
+        <source>number of teeth</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="51"/>
+        <location filename="../crowngear.py" line="62"/>
+        <location filename="../cycloidgear.py" line="59"/>
+        <location filename="../cycloidgearrack.py" line="48"/>
+        <location filename="../hypocycloidgear.py" line="105"/>
+        <location filename="../hypocycloidgear.py" line="130"/>
+        <location filename="../internalinvolutegear.py" line="74"/>
+        <location filename="../involutegear.py" line="101"/>
+        <location filename="../involutegearrack.py" line="46"/>
+        <location filename="../lanterngear.py" line="58"/>
+        <location filename="../timinggear.py" line="124"/>
+        <location filename="../wormgear.py" line="53"/>
+        <source>height</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="57"/>
+        <source>pitch_angle</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="63"/>
+        <source>pressure_angle</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="69"/>
+        <location filename="../crowngear.py" line="56"/>
+        <location filename="../cycloidgear.py" line="53"/>
+        <location filename="../involutegearrack.py" line="52"/>
+        <location filename="../lanterngear.py" line="46"/>
+        <location filename="../wormgear.py" line="47"/>
+        <source>module</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="75"/>
+        <location filename="../cycloidgear.py" line="136"/>
+        <location filename="../internalinvolutegear.py" line="225"/>
+        <location filename="../involutegear.py" line="231"/>
+        <source>clearance</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="81"/>
+        <location filename="../cycloidgear.py" line="65"/>
+        <location filename="../cycloidgearrack.py" line="70"/>
+        <location filename="../internalinvolutegear.py" line="86"/>
+        <location filename="../involutegear.py" line="253"/>
+        <source>number of points for spline</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="90"/>
+        <source>if value is true the gears outer face will match the z=0 plane</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="99"/>
+        <location filename="../cycloidgear.py" line="145"/>
+        <location filename="../internalinvolutegear.py" line="204"/>
+        <location filename="../involutegear.py" line="219"/>
+        <location filename="../timinggear_t.py" line="69"/>
+        <source>The arc length on the pitch circle by which the tooth thicknes is reduced.</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="105"/>
+        <location filename="../cycloidgearrack.py" line="76"/>
+        <location filename="../internalinvolutegear.py" line="92"/>
+        <location filename="../involutegearrack.py" line="73"/>
+        <source>test</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="111"/>
+        <source>angle used for spiral bevel-gears</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="117"/>
+        <location filename="../cycloidgear.py" line="179"/>
+        <location filename="../internalinvolutegear.py" line="144"/>
+        <location filename="../involutegear.py" line="185"/>
+        <source>The pitch diameter.</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="132"/>
+        <location filename="../cycloidgear.py" line="194"/>
+        <location filename="../internalinvolutegear.py" line="153"/>
+        <location filename="../involutegear.py" line="195"/>
+        <source>The angle by which this gear can turn without moving the mating gear.</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="79"/>
+        <source>master gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="86"/>
+        <source>slave gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="93"/>
+        <location filename="../connector.py" line="100"/>
+        <source>angle at which second gear is placed</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="50"/>
+        <source>number of teeth of other gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="68"/>
+        <location filename="../cycloidgearrack.py" line="54"/>
+        <location filename="../internalinvolutegear.py" line="80"/>
+        <location filename="../involutegearrack.py" line="58"/>
+        <source>thickness</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="74"/>
+        <location filename="../internalinvolutegear.py" line="239"/>
+        <location filename="../involutegear.py" line="107"/>
+        <location filename="../involutegearrack.py" line="160"/>
+        <location filename="../wormgear.py" line="72"/>
+        <source>pressure angle</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="101"/>
+        <location filename="../lanterngear.py" line="64"/>
+        <source>number of profiles used for loft</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="107"/>
+        <source>if true no boolean operation is done</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="71"/>
+        <source>the python object</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="102"/>
+        <location filename="../cycloidgearrack.py" line="110"/>
+        <location filename="../internalinvolutegear.py" line="253"/>
+        <location filename="../involutegear.py" line="162"/>
+        <location filename="../involutegearrack.py" line="116"/>
+        <source>double helix</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="108"/>
+        <location filename="../cycloidgearrack.py" line="104"/>
+        <location filename="../internalinvolutegear.py" line="247"/>
+        <location filename="../involutegear.py" line="156"/>
+        <location filename="../involutegearrack.py" line="110"/>
+        <location filename="../wormgear.py" line="65"/>
+        <source>beta</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="119"/>
+        <location filename="../cycloidgearrack.py" line="175"/>
+        <location filename="../internalinvolutegear.py" line="184"/>
+        <location filename="../involutegear.py" line="130"/>
+        <location filename="../involutegearrack.py" line="171"/>
+        <location filename="../timinggear_t.py" line="78"/>
+        <source>a fillet for the tooth-head, radius = head_fillet x module</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="128"/>
+        <location filename="../cycloidgearrack.py" line="184"/>
+        <location filename="../internalinvolutegear.py" line="193"/>
+        <location filename="../involutegear.py" line="139"/>
+        <location filename="../involutegearrack.py" line="180"/>
+        <location filename="../timinggear_t.py" line="87"/>
+        <source>a fillet for the tooth-root, radius = root_fillet x module</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="153"/>
+        <location filename="../internalinvolutegear.py" line="219"/>
+        <location filename="../involutegear.py" line="239"/>
+        <source>head_value * module_value = additional length of head</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="163"/>
+        <location filename="../cycloidgearrack.py" line="156"/>
+        <source>inner_diameter divided by module (hypocycloid)</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="171"/>
+        <location filename="../cycloidgearrack.py" line="164"/>
+        <source>outer_diameter divided by module (epicycloid)</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="64"/>
+        <location filename="../involutegearrack.py" line="67"/>
+        <source>if enabled the rack is drawn with a constant number of teeth to avoid topologic renaming.</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="118"/>
+        <location filename="../involutegearrack.py" line="124"/>
+        <source>pitch in the transverse plane</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="128"/>
+        <location filename="../involutegearrack.py" line="134"/>
+        <source>if enabled the total length of the rack is teeth x pitch, otherwise the rack starts with a tooth-flank</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="138"/>
+        <location filename="../involutegearrack.py" line="144"/>
+        <location filename="../lanterngear.py" line="72"/>
+        <location filename="../wormgear.py" line="86"/>
+        <source>head * module = additional length of head</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="146"/>
+        <location filename="../involutegearrack.py" line="152"/>
+        <location filename="../wormgear.py" line="94"/>
+        <source>clearance * module = additional length of root</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="48"/>
+        <source>Pin ball circle radius (overrides Tooth Pitch)</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="54"/>
+        <source>Roller Diameter</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="60"/>
+        <source>Eccentricity</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="66"/>
+        <source>Pressure angle limit</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="72"/>
+        <source>Offset in pressure angle</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="78"/>
+        <source>Number of teeth in Cam</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="86"/>
+        <source>Number of points used for spline interpolation</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="92"/>
+        <source>Center hole&apos;s radius</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="99"/>
+        <source>Create pins in place</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="111"/>
+        <source>Center pin Z axis to generated disks</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="118"/>
+        <source>Show main cam disk</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="124"/>
+        <source>Show another reversed cam disk on top</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="53"/>
+        <location filename="../involutegear.py" line="247"/>
+        <source>simple</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="68"/>
+        <location filename="../involutegear.py" line="95"/>
+        <source>normal module if properties_from_tool=True, else it&apos;s the transverse module.</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="128"/>
+        <source>inside diameter</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="135"/>
+        <location filename="../involutegear.py" line="177"/>
+        <source>root diameter</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="165"/>
+        <location filename="../involutegear.py" line="207"/>
+        <source>transverse_pitch</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="172"/>
+        <source>Outside diameter</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="210"/>
+        <location filename="../involutegear.py" line="225"/>
+        <source>backlash direction</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="233"/>
+        <location filename="../involutegear.py" line="113"/>
+        <source>shift</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="262"/>
+        <location filename="../involutegear.py" line="150"/>
+        <location filename="../involutegearrack.py" line="104"/>
+        <source>if beta is given and properties_from_tool is enabled, gear parameters are internally recomputed for the rotated gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="49"/>
+        <source>python gear object</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="121"/>
+        <source>undercut</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="170"/>
+        <source>outside diameter</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="261"/>
+        <source>traverse module of the generated gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../lanterngear.py" line="52"/>
+        <source>the bolt radius of the rack/chain</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="118"/>
+        <source>type of timing-gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="130"/>
+        <location filename="../timinggear_t.py" line="40"/>
+        <source>pitch of gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="137"/>
+        <source>radial height of teeth</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="147"/>
+        <source>radial difference between pitch diameter and head of gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="154"/>
+        <source>radius of first arc</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="161"/>
+        <source>radius of second arc</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="168"/>
+        <source>radius of third arc</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="175"/>
+        <source>x-offset of second arc-midpoint</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="52"/>
+        <source>radial height of tooth</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="60"/>
+        <source>radial distance from tooth-head to pitch circle</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="93"/>
+        <source>angle of tooth flanks</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="99"/>
+        <source>extrusion height</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../wormgear.py" line="59"/>
+        <source>diameter</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../wormgear.py" line="78"/>
+        <source>reverse rotation of helix</source>
+        <translation type="unfinished"></translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_BevelGear</name>
+    <message>
+        <location filename="../commands.py" line="159"/>
+        <source>Bevel Gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="162"/>
+        <source>Create a Bevel gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CrownGear</name>
+    <message>
+        <location filename="../commands.py" line="143"/>
+        <source>Crown Gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="146"/>
+        <source>Create a Crown gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CycloidGear</name>
+    <message>
+        <location filename="../commands.py" line="151"/>
+        <source>Cycloid Gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="154"/>
+        <source>Create a Cycloid gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CycloidRack</name>
+    <message>
+        <location filename="../commands.py" line="135"/>
+        <source>Cycloid Rack</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="138"/>
+        <source>Create an Cycloid rack</source>
+        <translation type="unfinished"></translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_GearConnector</name>
+    <message>
+        <location filename="../commands.py" line="209"/>
+        <location filename="../commands.py" line="211"/>
+        <source>Combine two gears</source>
+        <translation type="unfinished"></translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_HypoCycloidGear</name>
+    <message>
+        <location filename="../commands.py" line="167"/>
+        <source>HypoCycloid Gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="172"/>
+        <source>Create a HypoCycloid gear with its pins</source>
+        <translation type="unfinished"></translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InternalInvoluteGear</name>
+    <message>
+        <location filename="../commands.py" line="117"/>
+        <source>Internal Involute Gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="122"/>
+        <source>Create an internal involute gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InvoluteGear</name>
+    <message>
+        <location filename="../commands.py" line="105"/>
+        <source>Involute Gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="110"/>
+        <source>Create an external involute gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InvoluteRack</name>
+    <message>
+        <location filename="../commands.py" line="127"/>
+        <source>Involute Rack</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="130"/>
+        <source>Create an Involute rack</source>
+        <translation type="unfinished"></translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_LanternGear</name>
+    <message>
+        <location filename="../commands.py" line="201"/>
+        <source>Lantern Gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="204"/>
+        <source>Create a Lantern gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_TimingGear</name>
+    <message>
+        <location filename="../commands.py" line="193"/>
+        <source>Timing Gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="196"/>
+        <source>Create a Timing gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_TimingGearT</name>
+    <message>
+        <location filename="../commands.py" line="185"/>
+        <source>Timing Gear T-shape</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="188"/>
+        <source>Create a Timing gear T-shape</source>
+        <translation type="unfinished"></translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_WormGear</name>
+    <message>
+        <location filename="../commands.py" line="177"/>
+        <source>Worm Gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="180"/>
+        <source>Create a Worm gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+</context>
+<context>
+    <name>Log</name>
+    <message>
+        <location filename="../commands.py" line="218"/>
+        <source>Please select two gear objects.</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="224"/>
+        <source>Selected object is not a gear.</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="94"/>
+        <source>Gear module: Crown gear created, preview_mode = true for improved performance. Set preview_mode property to false when ready to cut teeth.</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="227"/>
+        <source>Generating cam disk
+</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="269"/>
+        <source>Generating secondary cam disk
+</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="287"/>
+        <source>Generating pins
+</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="39"/>
+        <source>Checking FreeCAD version
+</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="73"/>
+        <source>FreeCAD version (currently {}.{}.{} ({})) must be at least {}.{}.{} ({}) in order to work with Python 3.11 and above
+</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../basegear.py" line="137"/>
+        <source>Migrating &apos;teeth&apos; property to &apos;num_teeth&apos; on {} part
+</source>
+        <translation type="unfinished"></translation>
+    </message>
+</context>
+<context>
+    <name>Workbench</name>
+    <message>
+        <location filename="../init_gui.py" line="90"/>
+        <location filename="../init_gui.py" line="129"/>
+        <location filename="../init_gui.py" line="130"/>
+        <source>Gear</source>
+        <translation type="unfinished"></translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="91"/>
+        <source>Gear Workbench</source>
+        <translation type="unfinished"></translation>
+    </message>
+</context>
+</TS>

freecad/gears/translations/Gear_de.ts

@@ -0,0 +1,718 @@
+<?xml version="1.0" encoding="utf-8"?>
+<!DOCTYPE TS>
+<TS version="2.1" language="de" sourcelanguage="en_US">
+<context>
+    <name>App::Property</name>
+    <message>
+        <location filename="../basegear.py" line="101"/>
+        <location filename="../connector.py" line="72"/>
+        <source>freecad.gears-version</source>
+        <translation type="unfinished">freecad.gears-version</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="45"/>
+        <location filename="../crowngear.py" line="44"/>
+        <location filename="../cycloidgear.py" line="47"/>
+        <location filename="../cycloidgearrack.py" line="42"/>
+        <location filename="../internalinvolutegear.py" line="59"/>
+        <location filename="../involutegear.py" line="86"/>
+        <location filename="../involutegearrack.py" line="40"/>
+        <location filename="../lanterngear.py" line="40"/>
+        <location filename="../timinggear.py" line="112"/>
+        <location filename="../timinggear_t.py" line="46"/>
+        <location filename="../wormgear.py" line="41"/>
+        <source>number of teeth</source>
+        <translation>Zähnezahl</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="51"/>
+        <location filename="../crowngear.py" line="62"/>
+        <location filename="../cycloidgear.py" line="59"/>
+        <location filename="../cycloidgearrack.py" line="48"/>
+        <location filename="../hypocycloidgear.py" line="105"/>
+        <location filename="../hypocycloidgear.py" line="130"/>
+        <location filename="../internalinvolutegear.py" line="74"/>
+        <location filename="../involutegear.py" line="101"/>
+        <location filename="../involutegearrack.py" line="46"/>
+        <location filename="../lanterngear.py" line="58"/>
+        <location filename="../timinggear.py" line="124"/>
+        <location filename="../wormgear.py" line="53"/>
+        <source>height</source>
+        <translation type="unfinished">height</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="57"/>
+        <source>pitch_angle</source>
+        <translation type="unfinished">pitch_angle</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="63"/>
+        <source>pressure_angle</source>
+        <translation>Eingriffwinkel</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="69"/>
+        <location filename="../crowngear.py" line="56"/>
+        <location filename="../cycloidgear.py" line="53"/>
+        <location filename="../involutegearrack.py" line="52"/>
+        <location filename="../lanterngear.py" line="46"/>
+        <location filename="../wormgear.py" line="47"/>
+        <source>module</source>
+        <translation>Modul</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="75"/>
+        <location filename="../cycloidgear.py" line="136"/>
+        <location filename="../internalinvolutegear.py" line="225"/>
+        <location filename="../involutegear.py" line="231"/>
+        <source>clearance</source>
+        <translation type="unfinished">clearance</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="81"/>
+        <location filename="../cycloidgear.py" line="65"/>
+        <location filename="../cycloidgearrack.py" line="70"/>
+        <location filename="../internalinvolutegear.py" line="86"/>
+        <location filename="../involutegear.py" line="253"/>
+        <source>number of points for spline</source>
+        <translation type="unfinished">number of points for spline</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="90"/>
+        <source>if value is true the gears outer face will match the z=0 plane</source>
+        <translation type="unfinished">if value is true the gears outer face will match the z=0 plane</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="99"/>
+        <location filename="../cycloidgear.py" line="145"/>
+        <location filename="../internalinvolutegear.py" line="204"/>
+        <location filename="../involutegear.py" line="219"/>
+        <location filename="../timinggear_t.py" line="69"/>
+        <source>The arc length on the pitch circle by which the tooth thicknes is reduced.</source>
+        <translation type="unfinished">The arc length on the pitch circle by which the tooth thicknes is reduced.</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="105"/>
+        <location filename="../cycloidgearrack.py" line="76"/>
+        <location filename="../internalinvolutegear.py" line="92"/>
+        <location filename="../involutegearrack.py" line="73"/>
+        <source>test</source>
+        <translation type="unfinished">test</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="111"/>
+        <source>angle used for spiral bevel-gears</source>
+        <translation type="unfinished">angle used for spiral bevel-gears</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="117"/>
+        <location filename="../cycloidgear.py" line="179"/>
+        <location filename="../internalinvolutegear.py" line="144"/>
+        <location filename="../involutegear.py" line="185"/>
+        <source>The pitch diameter.</source>
+        <translation>Der Teilkreisdurchmesser.</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="132"/>
+        <location filename="../cycloidgear.py" line="194"/>
+        <location filename="../internalinvolutegear.py" line="153"/>
+        <location filename="../involutegear.py" line="195"/>
+        <source>The angle by which this gear can turn without moving the mating gear.</source>
+        <translation type="unfinished">The angle by which this gear can turn without moving the mating gear.</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="79"/>
+        <source>master gear</source>
+        <translation type="unfinished">master gear</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="86"/>
+        <source>slave gear</source>
+        <translation type="unfinished">slave gear</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="93"/>
+        <location filename="../connector.py" line="100"/>
+        <source>angle at which second gear is placed</source>
+        <translation type="unfinished">angle at which second gear is placed</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="50"/>
+        <source>number of teeth of other gear</source>
+        <translation>Zähnezahl des anderen Zahnrades</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="68"/>
+        <location filename="../cycloidgearrack.py" line="54"/>
+        <location filename="../internalinvolutegear.py" line="80"/>
+        <location filename="../involutegearrack.py" line="58"/>
+        <source>thickness</source>
+        <translation type="unfinished">thickness</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="74"/>
+        <location filename="../internalinvolutegear.py" line="239"/>
+        <location filename="../involutegear.py" line="107"/>
+        <location filename="../involutegearrack.py" line="160"/>
+        <location filename="../wormgear.py" line="72"/>
+        <source>pressure angle</source>
+        <translation>Eingriffwinkel</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="101"/>
+        <location filename="../lanterngear.py" line="64"/>
+        <source>number of profiles used for loft</source>
+        <translation type="unfinished">number of profiles used for loft</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="107"/>
+        <source>if true no boolean operation is done</source>
+        <translation type="unfinished">if true no boolean operation is done</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="71"/>
+        <source>the python object</source>
+        <translation>das Python-Objekt</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="102"/>
+        <location filename="../cycloidgearrack.py" line="110"/>
+        <location filename="../internalinvolutegear.py" line="253"/>
+        <location filename="../involutegear.py" line="162"/>
+        <location filename="../involutegearrack.py" line="116"/>
+        <source>double helix</source>
+        <translation>Doppelwendel</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="108"/>
+        <location filename="../cycloidgearrack.py" line="104"/>
+        <location filename="../internalinvolutegear.py" line="247"/>
+        <location filename="../involutegear.py" line="156"/>
+        <location filename="../involutegearrack.py" line="110"/>
+        <location filename="../wormgear.py" line="65"/>
+        <source>beta</source>
+        <translation>beta</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="119"/>
+        <location filename="../cycloidgearrack.py" line="175"/>
+        <location filename="../internalinvolutegear.py" line="184"/>
+        <location filename="../involutegear.py" line="130"/>
+        <location filename="../involutegearrack.py" line="171"/>
+        <location filename="../timinggear_t.py" line="78"/>
+        <source>a fillet for the tooth-head, radius = head_fillet x module</source>
+        <translation>eine Abrundung des Zahnkopfes, radius = head_fillet x module</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="128"/>
+        <location filename="../cycloidgearrack.py" line="184"/>
+        <location filename="../internalinvolutegear.py" line="193"/>
+        <location filename="../involutegear.py" line="139"/>
+        <location filename="../involutegearrack.py" line="180"/>
+        <location filename="../timinggear_t.py" line="87"/>
+        <source>a fillet for the tooth-root, radius = root_fillet x module</source>
+        <translation>eine Abrundung des Zahngrundes, radius = head_fillet x module</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="153"/>
+        <location filename="../internalinvolutegear.py" line="219"/>
+        <location filename="../involutegear.py" line="239"/>
+        <source>head_value * module_value = additional length of head</source>
+        <translation type="unfinished">head_value * module_value = additional length of head</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="163"/>
+        <location filename="../cycloidgearrack.py" line="156"/>
+        <source>inner_diameter divided by module (hypocycloid)</source>
+        <translation type="unfinished">inner_diameter divided by module (hypocycloid)</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="171"/>
+        <location filename="../cycloidgearrack.py" line="164"/>
+        <source>outer_diameter divided by module (epicycloid)</source>
+        <translation type="unfinished">outer_diameter divided by module (epicycloid)</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="64"/>
+        <location filename="../involutegearrack.py" line="67"/>
+        <source>if enabled the rack is drawn with a constant number of teeth to avoid topologic renaming.</source>
+        <translation type="unfinished">if enabled the rack is drawn with a constant number of teeth to avoid topologic renaming.</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="118"/>
+        <location filename="../involutegearrack.py" line="124"/>
+        <source>pitch in the transverse plane</source>
+        <translation type="unfinished">pitch in the transverse plane</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="128"/>
+        <location filename="../involutegearrack.py" line="134"/>
+        <source>if enabled the total length of the rack is teeth x pitch, otherwise the rack starts with a tooth-flank</source>
+        <translation type="unfinished">if enabled the total length of the rack is teeth x pitch, otherwise the rack starts with a tooth-flank</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="138"/>
+        <location filename="../involutegearrack.py" line="144"/>
+        <location filename="../lanterngear.py" line="72"/>
+        <location filename="../wormgear.py" line="86"/>
+        <source>head * module = additional length of head</source>
+        <translation type="unfinished">head * module = additional length of head</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="146"/>
+        <location filename="../involutegearrack.py" line="152"/>
+        <location filename="../wormgear.py" line="94"/>
+        <source>clearance * module = additional length of root</source>
+        <translation type="unfinished">clearance * module = additional length of root</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="48"/>
+        <source>Pin ball circle radius (overrides Tooth Pitch)</source>
+        <translation type="unfinished">Pin ball circle radius (overrides Tooth Pitch)</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="54"/>
+        <source>Roller Diameter</source>
+        <translation>Rollendurchmesser</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="60"/>
+        <source>Eccentricity</source>
+        <translation type="unfinished">Eccentricity</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="66"/>
+        <source>Pressure angle limit</source>
+        <translation type="unfinished">Pressure angle limit</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="72"/>
+        <source>Offset in pressure angle</source>
+        <translation type="unfinished">Offset in pressure angle</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="78"/>
+        <source>Number of teeth in Cam</source>
+        <translation type="unfinished">Number of teeth in Cam</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="86"/>
+        <source>Number of points used for spline interpolation</source>
+        <translation type="unfinished">Number of points used for spline interpolation</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="92"/>
+        <source>Center hole&apos;s radius</source>
+        <translation type="unfinished">Center hole&apos;s radius</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="99"/>
+        <source>Create pins in place</source>
+        <translation type="unfinished">Create pins in place</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="111"/>
+        <source>Center pin Z axis to generated disks</source>
+        <translation type="unfinished">Center pin Z axis to generated disks</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="118"/>
+        <source>Show main cam disk</source>
+        <translation type="unfinished">Show main cam disk</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="124"/>
+        <source>Show another reversed cam disk on top</source>
+        <translation type="unfinished">Show another reversed cam disk on top</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="53"/>
+        <location filename="../involutegear.py" line="247"/>
+        <source>simple</source>
+        <translation type="unfinished">simple</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="68"/>
+        <location filename="../involutegear.py" line="95"/>
+        <source>normal module if properties_from_tool=True, else it&apos;s the transverse module.</source>
+        <translation type="unfinished">normal module if properties_from_tool=True, else it&apos;s the transverse module.</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="128"/>
+        <source>inside diameter</source>
+        <translation>Innendurchmesser</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="135"/>
+        <location filename="../involutegear.py" line="177"/>
+        <source>root diameter</source>
+        <translation type="unfinished">root diameter</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="165"/>
+        <location filename="../involutegear.py" line="207"/>
+        <source>transverse_pitch</source>
+        <translation type="unfinished">transverse_pitch</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="172"/>
+        <source>Outside diameter</source>
+        <translation>Außendurchmesser</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="210"/>
+        <location filename="../involutegear.py" line="225"/>
+        <source>backlash direction</source>
+        <translation type="unfinished">backlash direction</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="233"/>
+        <location filename="../involutegear.py" line="113"/>
+        <source>shift</source>
+        <translation type="unfinished">shift</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="262"/>
+        <location filename="../involutegear.py" line="150"/>
+        <location filename="../involutegearrack.py" line="104"/>
+        <source>if beta is given and properties_from_tool is enabled, gear parameters are internally recomputed for the rotated gear</source>
+        <translation type="unfinished">if beta is given and properties_from_tool is enabled, gear parameters are internally recomputed for the rotated gear</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="49"/>
+        <source>python gear object</source>
+        <translation type="unfinished">python gear object</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="121"/>
+        <source>undercut</source>
+        <translation>Hinterschnitt</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="170"/>
+        <source>outside diameter</source>
+        <translation>Außendurchmesser</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="261"/>
+        <source>traverse module of the generated gear</source>
+        <translation type="unfinished">traverse module of the generated gear</translation>
+    </message>
+    <message>
+        <location filename="../lanterngear.py" line="52"/>
+        <source>the bolt radius of the rack/chain</source>
+        <translation>der Rollenradius der Zahnstange bzw. Kette</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="118"/>
+        <source>type of timing-gear</source>
+        <translation>Art der Zahnriemenscheibe</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="130"/>
+        <location filename="../timinggear_t.py" line="40"/>
+        <source>pitch of gear</source>
+        <translation type="unfinished">pitch of gear</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="137"/>
+        <source>radial height of teeth</source>
+        <translation type="unfinished">radial height of teeth</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="147"/>
+        <source>radial difference between pitch diameter and head of gear</source>
+        <translation type="unfinished">radial difference between pitch diameter and head of gear</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="154"/>
+        <source>radius of first arc</source>
+        <translation type="unfinished">radius of first arc</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="161"/>
+        <source>radius of second arc</source>
+        <translation type="unfinished">radius of second arc</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="168"/>
+        <source>radius of third arc</source>
+        <translation type="unfinished">radius of third arc</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="175"/>
+        <source>x-offset of second arc-midpoint</source>
+        <translation type="unfinished">x-offset of second arc-midpoint</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="52"/>
+        <source>radial height of tooth</source>
+        <translation type="unfinished">radial height of tooth</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="60"/>
+        <source>radial distance from tooth-head to pitch circle</source>
+        <translation type="unfinished">radial distance from tooth-head to pitch circle</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="93"/>
+        <source>angle of tooth flanks</source>
+        <translation type="unfinished">angle of tooth flanks</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="99"/>
+        <source>extrusion height</source>
+        <translation type="unfinished">extrusion height</translation>
+    </message>
+    <message>
+        <location filename="../wormgear.py" line="59"/>
+        <source>diameter</source>
+        <translation>Durchmesser</translation>
+    </message>
+    <message>
+        <location filename="../wormgear.py" line="78"/>
+        <source>reverse rotation of helix</source>
+        <translation type="unfinished">reverse rotation of helix</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_BevelGear</name>
+    <message>
+        <location filename="../commands.py" line="159"/>
+        <source>Bevel Gear</source>
+        <translation>Kegelrad</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="162"/>
+        <source>Create a Bevel gear</source>
+        <translation>Erstellt ein Kegelrad</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CrownGear</name>
+    <message>
+        <location filename="../commands.py" line="143"/>
+        <source>Crown Gear</source>
+        <translation>Kronenrad</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="146"/>
+        <source>Create a Crown gear</source>
+        <translation>Erstellt ein Kronenrad</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CycloidGear</name>
+    <message>
+        <location filename="../commands.py" line="151"/>
+        <source>Cycloid Gear</source>
+        <translation>Zykloidenrad</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="154"/>
+        <source>Create a Cycloid gear</source>
+        <translation>Erstellt ein Zykloidenrad</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CycloidRack</name>
+    <message>
+        <location filename="../commands.py" line="135"/>
+        <source>Cycloid Rack</source>
+        <translation>Zykloidenzahnstange</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="138"/>
+        <source>Create an Cycloid rack</source>
+        <translation>Erstellt eine Zykloidenzahnstange</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_GearConnector</name>
+    <message>
+        <location filename="../commands.py" line="209"/>
+        <location filename="../commands.py" line="211"/>
+        <source>Combine two gears</source>
+        <translation type="unfinished">Combine two gears</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_HypoCycloidGear</name>
+    <message>
+        <location filename="../commands.py" line="167"/>
+        <source>HypoCycloid Gear</source>
+        <translation>Hypozykloidenrad</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="172"/>
+        <source>Create a HypoCycloid gear with its pins</source>
+        <translation>Erstellt ein Paar Hypozykloidenräder mit zugehörigen Rollen</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InternalInvoluteGear</name>
+    <message>
+        <location filename="../commands.py" line="117"/>
+        <source>Internal Involute Gear</source>
+        <translation>Innenverzahntes Evolventenrad</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="122"/>
+        <source>Create an internal involute gear</source>
+        <translation>Erstellt ein innenverzahntes Evolventenrad</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InvoluteGear</name>
+    <message>
+        <location filename="../commands.py" line="105"/>
+        <source>Involute Gear</source>
+        <translation>Evolventenrad</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="110"/>
+        <source>Create an external involute gear</source>
+        <translation>Erstellt ein Evolventenstirnrad</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InvoluteRack</name>
+    <message>
+        <location filename="../commands.py" line="127"/>
+        <source>Involute Rack</source>
+        <translation>Evolventenzahnstange</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="130"/>
+        <source>Create an Involute rack</source>
+        <translation>Erstellt eine Evolventenzahnstange</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_LanternGear</name>
+    <message>
+        <location filename="../commands.py" line="201"/>
+        <source>Lantern Gear</source>
+        <translation>Triebstockrad</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="204"/>
+        <source>Create a Lantern gear</source>
+        <translation>Erstellt ein Triebstockrad</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_TimingGear</name>
+    <message>
+        <location filename="../commands.py" line="193"/>
+        <source>Timing Gear</source>
+        <translation>Zahnriemenscheibe</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="196"/>
+        <source>Create a Timing gear</source>
+        <translation>Erstellt eine Zahnriemenscheibe</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_TimingGearT</name>
+    <message>
+        <location filename="../commands.py" line="185"/>
+        <source>Timing Gear T-shape</source>
+        <translation>ZahnriemenscheibeT</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="188"/>
+        <source>Create a Timing gear T-shape</source>
+        <translation>Erstellt eine Zahnriemenscheibe Bauart T</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_WormGear</name>
+    <message>
+        <location filename="../commands.py" line="177"/>
+        <source>Worm Gear</source>
+        <translation>Schneckenwelle</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="180"/>
+        <source>Create a Worm gear</source>
+        <translation>Erstellt eine Schneckenwelle</translation>
+    </message>
+</context>
+<context>
+    <name>Log</name>
+    <message>
+        <location filename="../commands.py" line="218"/>
+        <source>Please select two gear objects.</source>
+        <translation>Bitte zwei Zahnradobjekte auswählen.</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="224"/>
+        <source>Selected object is not a gear.</source>
+        <translation>Das ausgewählte Objekt ist kein Zahnrad.</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="94"/>
+        <source>Gear module: Crown gear created, preview_mode = true for improved performance. Set preview_mode property to false when ready to cut teeth.</source>
+        <translation>Gear-Modul: Kronenrad erstellt, preview_mode = true für bessere Leistung. Eigenschaft preview_mode property auf false setzen, wenn Zähne dargestellt werden sollen.</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="227"/>
+        <source>Generating cam disk
+</source>
+        <translation type="unfinished">Generating cam disk
+</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="269"/>
+        <source>Generating secondary cam disk
+</source>
+        <translation type="unfinished">Generating secondary cam disk
+</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="287"/>
+        <source>Generating pins
+</source>
+        <translation type="unfinished">Generating pins
+</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="39"/>
+        <source>Checking FreeCAD version
+</source>
+        <translation type="unfinished">Checking FreeCAD version
+</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="73"/>
+        <source>FreeCAD version (currently {}.{}.{} ({})) must be at least {}.{}.{} ({}) in order to work with Python 3.11 and above
+</source>
+        <translation>FreeCAD-Version (derzeit {}.{}.{} ({})) muss mindestens {}.{}.{} ({}) sein, um mit Python 3.11 und neuer zu funktionieren
+</translation>
+    </message>
+    <message>
+        <location filename="../basegear.py" line="137"/>
+        <source>Migrating &apos;teeth&apos; property to &apos;num_teeth&apos; on {} part
+</source>
+        <translation type="unfinished">Migrating &apos;teeth&apos; property to &apos;num_teeth&apos; on {} part
+</translation>
+    </message>
+</context>
+<context>
+    <name>Workbench</name>
+    <message>
+        <location filename="../init_gui.py" line="90"/>
+        <location filename="../init_gui.py" line="129"/>
+        <location filename="../init_gui.py" line="130"/>
+        <source>Gear</source>
+        <translation>Gear</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="91"/>
+        <source>Gear Workbench</source>
+        <translation>Arbeitsbereich Gear</translation>
+    </message>
+</context>
+</TS>

freecad/gears/translations/Gear_el.ts

@@ -0,0 +1,718 @@
+<?xml version="1.0" encoding="utf-8"?>
+<!DOCTYPE TS>
+<TS version="2.1" language="el" sourcelanguage="en_US">
+<context>
+    <name>App::Property</name>
+    <message>
+        <location filename="../basegear.py" line="101"/>
+        <location filename="../connector.py" line="72"/>
+        <source>freecad.gears-version</source>
+        <translation>freecad.γρανάζια-έκδοση</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="45"/>
+        <location filename="../crowngear.py" line="44"/>
+        <location filename="../cycloidgear.py" line="47"/>
+        <location filename="../cycloidgearrack.py" line="42"/>
+        <location filename="../internalinvolutegear.py" line="59"/>
+        <location filename="../involutegear.py" line="86"/>
+        <location filename="../involutegearrack.py" line="40"/>
+        <location filename="../lanterngear.py" line="40"/>
+        <location filename="../timinggear.py" line="112"/>
+        <location filename="../timinggear_t.py" line="46"/>
+        <location filename="../wormgear.py" line="41"/>
+        <source>number of teeth</source>
+        <translation>αριθμός δοντιών</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="51"/>
+        <location filename="../crowngear.py" line="62"/>
+        <location filename="../cycloidgear.py" line="59"/>
+        <location filename="../cycloidgearrack.py" line="48"/>
+        <location filename="../hypocycloidgear.py" line="105"/>
+        <location filename="../hypocycloidgear.py" line="130"/>
+        <location filename="../internalinvolutegear.py" line="74"/>
+        <location filename="../involutegear.py" line="101"/>
+        <location filename="../involutegearrack.py" line="46"/>
+        <location filename="../lanterngear.py" line="58"/>
+        <location filename="../timinggear.py" line="124"/>
+        <location filename="../wormgear.py" line="53"/>
+        <source>height</source>
+        <translation>ύψος</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="57"/>
+        <source>pitch_angle</source>
+        <translation>βημα_γωγίας</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="63"/>
+        <source>pressure_angle</source>
+        <translation>πίεση_γωνίας</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="69"/>
+        <location filename="../crowngear.py" line="56"/>
+        <location filename="../cycloidgear.py" line="53"/>
+        <location filename="../involutegearrack.py" line="52"/>
+        <location filename="../lanterngear.py" line="46"/>
+        <location filename="../wormgear.py" line="47"/>
+        <source>module</source>
+        <translation type="unfinished">module</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="75"/>
+        <location filename="../cycloidgear.py" line="136"/>
+        <location filename="../internalinvolutegear.py" line="225"/>
+        <location filename="../involutegear.py" line="231"/>
+        <source>clearance</source>
+        <translation>ελευθέρωση</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="81"/>
+        <location filename="../cycloidgear.py" line="65"/>
+        <location filename="../cycloidgearrack.py" line="70"/>
+        <location filename="../internalinvolutegear.py" line="86"/>
+        <location filename="../involutegear.py" line="253"/>
+        <source>number of points for spline</source>
+        <translation>αριθμός σημείων για λωρίδα</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="90"/>
+        <source>if value is true the gears outer face will match the z=0 plane</source>
+        <translation>Εάν η τιμή είναι true (αληθής), η εξωτερική όψη των γραναζιών θα ταιριάζει με το επίπεδο z=0</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="99"/>
+        <location filename="../cycloidgear.py" line="145"/>
+        <location filename="../internalinvolutegear.py" line="204"/>
+        <location filename="../involutegear.py" line="219"/>
+        <location filename="../timinggear_t.py" line="69"/>
+        <source>The arc length on the pitch circle by which the tooth thicknes is reduced.</source>
+        <translation type="unfinished">The arc length on the pitch circle by which the tooth thicknes is reduced.</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="105"/>
+        <location filename="../cycloidgearrack.py" line="76"/>
+        <location filename="../internalinvolutegear.py" line="92"/>
+        <location filename="../involutegearrack.py" line="73"/>
+        <source>test</source>
+        <translation type="unfinished">test</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="111"/>
+        <source>angle used for spiral bevel-gears</source>
+        <translation type="unfinished">angle used for spiral bevel-gears</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="117"/>
+        <location filename="../cycloidgear.py" line="179"/>
+        <location filename="../internalinvolutegear.py" line="144"/>
+        <location filename="../involutegear.py" line="185"/>
+        <source>The pitch diameter.</source>
+        <translation type="unfinished">The pitch diameter.</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="132"/>
+        <location filename="../cycloidgear.py" line="194"/>
+        <location filename="../internalinvolutegear.py" line="153"/>
+        <location filename="../involutegear.py" line="195"/>
+        <source>The angle by which this gear can turn without moving the mating gear.</source>
+        <translation type="unfinished">The angle by which this gear can turn without moving the mating gear.</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="79"/>
+        <source>master gear</source>
+        <translation type="unfinished">master gear</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="86"/>
+        <source>slave gear</source>
+        <translation type="unfinished">slave gear</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="93"/>
+        <location filename="../connector.py" line="100"/>
+        <source>angle at which second gear is placed</source>
+        <translation type="unfinished">angle at which second gear is placed</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="50"/>
+        <source>number of teeth of other gear</source>
+        <translation type="unfinished">number of teeth of other gear</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="68"/>
+        <location filename="../cycloidgearrack.py" line="54"/>
+        <location filename="../internalinvolutegear.py" line="80"/>
+        <location filename="../involutegearrack.py" line="58"/>
+        <source>thickness</source>
+        <translation type="unfinished">thickness</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="74"/>
+        <location filename="../internalinvolutegear.py" line="239"/>
+        <location filename="../involutegear.py" line="107"/>
+        <location filename="../involutegearrack.py" line="160"/>
+        <location filename="../wormgear.py" line="72"/>
+        <source>pressure angle</source>
+        <translation type="unfinished">pressure angle</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="101"/>
+        <location filename="../lanterngear.py" line="64"/>
+        <source>number of profiles used for loft</source>
+        <translation type="unfinished">number of profiles used for loft</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="107"/>
+        <source>if true no boolean operation is done</source>
+        <translation type="unfinished">if true no boolean operation is done</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="71"/>
+        <source>the python object</source>
+        <translation type="unfinished">the python object</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="102"/>
+        <location filename="../cycloidgearrack.py" line="110"/>
+        <location filename="../internalinvolutegear.py" line="253"/>
+        <location filename="../involutegear.py" line="162"/>
+        <location filename="../involutegearrack.py" line="116"/>
+        <source>double helix</source>
+        <translation type="unfinished">double helix</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="108"/>
+        <location filename="../cycloidgearrack.py" line="104"/>
+        <location filename="../internalinvolutegear.py" line="247"/>
+        <location filename="../involutegear.py" line="156"/>
+        <location filename="../involutegearrack.py" line="110"/>
+        <location filename="../wormgear.py" line="65"/>
+        <source>beta</source>
+        <translation type="unfinished">beta</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="119"/>
+        <location filename="../cycloidgearrack.py" line="175"/>
+        <location filename="../internalinvolutegear.py" line="184"/>
+        <location filename="../involutegear.py" line="130"/>
+        <location filename="../involutegearrack.py" line="171"/>
+        <location filename="../timinggear_t.py" line="78"/>
+        <source>a fillet for the tooth-head, radius = head_fillet x module</source>
+        <translation type="unfinished">a fillet for the tooth-head, radius = head_fillet x module</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="128"/>
+        <location filename="../cycloidgearrack.py" line="184"/>
+        <location filename="../internalinvolutegear.py" line="193"/>
+        <location filename="../involutegear.py" line="139"/>
+        <location filename="../involutegearrack.py" line="180"/>
+        <location filename="../timinggear_t.py" line="87"/>
+        <source>a fillet for the tooth-root, radius = root_fillet x module</source>
+        <translation type="unfinished">a fillet for the tooth-root, radius = root_fillet x module</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="153"/>
+        <location filename="../internalinvolutegear.py" line="219"/>
+        <location filename="../involutegear.py" line="239"/>
+        <source>head_value * module_value = additional length of head</source>
+        <translation type="unfinished">head_value * module_value = additional length of head</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="163"/>
+        <location filename="../cycloidgearrack.py" line="156"/>
+        <source>inner_diameter divided by module (hypocycloid)</source>
+        <translation type="unfinished">inner_diameter divided by module (hypocycloid)</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="171"/>
+        <location filename="../cycloidgearrack.py" line="164"/>
+        <source>outer_diameter divided by module (epicycloid)</source>
+        <translation type="unfinished">outer_diameter divided by module (epicycloid)</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="64"/>
+        <location filename="../involutegearrack.py" line="67"/>
+        <source>if enabled the rack is drawn with a constant number of teeth to avoid topologic renaming.</source>
+        <translation type="unfinished">if enabled the rack is drawn with a constant number of teeth to avoid topologic renaming.</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="118"/>
+        <location filename="../involutegearrack.py" line="124"/>
+        <source>pitch in the transverse plane</source>
+        <translation type="unfinished">pitch in the transverse plane</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="128"/>
+        <location filename="../involutegearrack.py" line="134"/>
+        <source>if enabled the total length of the rack is teeth x pitch, otherwise the rack starts with a tooth-flank</source>
+        <translation type="unfinished">if enabled the total length of the rack is teeth x pitch, otherwise the rack starts with a tooth-flank</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="138"/>
+        <location filename="../involutegearrack.py" line="144"/>
+        <location filename="../lanterngear.py" line="72"/>
+        <location filename="../wormgear.py" line="86"/>
+        <source>head * module = additional length of head</source>
+        <translation type="unfinished">head * module = additional length of head</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="146"/>
+        <location filename="../involutegearrack.py" line="152"/>
+        <location filename="../wormgear.py" line="94"/>
+        <source>clearance * module = additional length of root</source>
+        <translation type="unfinished">clearance * module = additional length of root</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="48"/>
+        <source>Pin ball circle radius (overrides Tooth Pitch)</source>
+        <translation type="unfinished">Pin ball circle radius (overrides Tooth Pitch)</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="54"/>
+        <source>Roller Diameter</source>
+        <translation type="unfinished">Roller Diameter</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="60"/>
+        <source>Eccentricity</source>
+        <translation type="unfinished">Eccentricity</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="66"/>
+        <source>Pressure angle limit</source>
+        <translation type="unfinished">Pressure angle limit</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="72"/>
+        <source>Offset in pressure angle</source>
+        <translation type="unfinished">Offset in pressure angle</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="78"/>
+        <source>Number of teeth in Cam</source>
+        <translation type="unfinished">Number of teeth in Cam</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="86"/>
+        <source>Number of points used for spline interpolation</source>
+        <translation type="unfinished">Number of points used for spline interpolation</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="92"/>
+        <source>Center hole&apos;s radius</source>
+        <translation type="unfinished">Center hole&apos;s radius</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="99"/>
+        <source>Create pins in place</source>
+        <translation type="unfinished">Create pins in place</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="111"/>
+        <source>Center pin Z axis to generated disks</source>
+        <translation type="unfinished">Center pin Z axis to generated disks</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="118"/>
+        <source>Show main cam disk</source>
+        <translation type="unfinished">Show main cam disk</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="124"/>
+        <source>Show another reversed cam disk on top</source>
+        <translation type="unfinished">Show another reversed cam disk on top</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="53"/>
+        <location filename="../involutegear.py" line="247"/>
+        <source>simple</source>
+        <translation>απλό</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="68"/>
+        <location filename="../involutegear.py" line="95"/>
+        <source>normal module if properties_from_tool=True, else it&apos;s the transverse module.</source>
+        <translation type="unfinished">normal module if properties_from_tool=True, else it&apos;s the transverse module.</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="128"/>
+        <source>inside diameter</source>
+        <translation>εσωτερική διάμετρος</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="135"/>
+        <location filename="../involutegear.py" line="177"/>
+        <source>root diameter</source>
+        <translation type="unfinished">root diameter</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="165"/>
+        <location filename="../involutegear.py" line="207"/>
+        <source>transverse_pitch</source>
+        <translation type="unfinished">transverse_pitch</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="172"/>
+        <source>Outside diameter</source>
+        <translation>Εξωτερική διάμετρος</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="210"/>
+        <location filename="../involutegear.py" line="225"/>
+        <source>backlash direction</source>
+        <translation type="unfinished">backlash direction</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="233"/>
+        <location filename="../involutegear.py" line="113"/>
+        <source>shift</source>
+        <translation type="unfinished">shift</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="262"/>
+        <location filename="../involutegear.py" line="150"/>
+        <location filename="../involutegearrack.py" line="104"/>
+        <source>if beta is given and properties_from_tool is enabled, gear parameters are internally recomputed for the rotated gear</source>
+        <translation type="unfinished">if beta is given and properties_from_tool is enabled, gear parameters are internally recomputed for the rotated gear</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="49"/>
+        <source>python gear object</source>
+        <translation type="unfinished">python gear object</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="121"/>
+        <source>undercut</source>
+        <translation type="unfinished">undercut</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="170"/>
+        <source>outside diameter</source>
+        <translation type="unfinished">outside diameter</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="261"/>
+        <source>traverse module of the generated gear</source>
+        <translation type="unfinished">traverse module of the generated gear</translation>
+    </message>
+    <message>
+        <location filename="../lanterngear.py" line="52"/>
+        <source>the bolt radius of the rack/chain</source>
+        <translation>Η ακτίνα του μπουλονιού της οδοντωτής ράβδος/αλυσίδας</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="118"/>
+        <source>type of timing-gear</source>
+        <translation>τύπος μηχανισμού χρονισμού</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="130"/>
+        <location filename="../timinggear_t.py" line="40"/>
+        <source>pitch of gear</source>
+        <translation>βήμα γραναζιών</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="137"/>
+        <source>radial height of teeth</source>
+        <translation type="unfinished">radial height of teeth</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="147"/>
+        <source>radial difference between pitch diameter and head of gear</source>
+        <translation type="unfinished">radial difference between pitch diameter and head of gear</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="154"/>
+        <source>radius of first arc</source>
+        <translation type="unfinished">radius of first arc</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="161"/>
+        <source>radius of second arc</source>
+        <translation>ακτίνα δεύτερου τόξου</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="168"/>
+        <source>radius of third arc</source>
+        <translation type="unfinished">radius of third arc</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="175"/>
+        <source>x-offset of second arc-midpoint</source>
+        <translation type="unfinished">x-offset of second arc-midpoint</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="52"/>
+        <source>radial height of tooth</source>
+        <translation type="unfinished">radial height of tooth</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="60"/>
+        <source>radial distance from tooth-head to pitch circle</source>
+        <translation type="unfinished">radial distance from tooth-head to pitch circle</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="93"/>
+        <source>angle of tooth flanks</source>
+        <translation type="unfinished">angle of tooth flanks</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="99"/>
+        <source>extrusion height</source>
+        <translation type="unfinished">extrusion height</translation>
+    </message>
+    <message>
+        <location filename="../wormgear.py" line="59"/>
+        <source>diameter</source>
+        <translation type="unfinished">diameter</translation>
+    </message>
+    <message>
+        <location filename="../wormgear.py" line="78"/>
+        <source>reverse rotation of helix</source>
+        <translation type="unfinished">reverse rotation of helix</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_BevelGear</name>
+    <message>
+        <location filename="../commands.py" line="159"/>
+        <source>Bevel Gear</source>
+        <translation type="unfinished">Bevel Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="162"/>
+        <source>Create a Bevel gear</source>
+        <translation type="unfinished">Create a Bevel gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CrownGear</name>
+    <message>
+        <location filename="../commands.py" line="143"/>
+        <source>Crown Gear</source>
+        <translation type="unfinished">Crown Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="146"/>
+        <source>Create a Crown gear</source>
+        <translation type="unfinished">Create a Crown gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CycloidGear</name>
+    <message>
+        <location filename="../commands.py" line="151"/>
+        <source>Cycloid Gear</source>
+        <translation type="unfinished">Cycloid Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="154"/>
+        <source>Create a Cycloid gear</source>
+        <translation type="unfinished">Create a Cycloid gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CycloidRack</name>
+    <message>
+        <location filename="../commands.py" line="135"/>
+        <source>Cycloid Rack</source>
+        <translation type="unfinished">Cycloid Rack</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="138"/>
+        <source>Create an Cycloid rack</source>
+        <translation type="unfinished">Create an Cycloid rack</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_GearConnector</name>
+    <message>
+        <location filename="../commands.py" line="209"/>
+        <location filename="../commands.py" line="211"/>
+        <source>Combine two gears</source>
+        <translation type="unfinished">Combine two gears</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_HypoCycloidGear</name>
+    <message>
+        <location filename="../commands.py" line="167"/>
+        <source>HypoCycloid Gear</source>
+        <translation type="unfinished">HypoCycloid Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="172"/>
+        <source>Create a HypoCycloid gear with its pins</source>
+        <translation type="unfinished">Create a HypoCycloid gear with its pins</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InternalInvoluteGear</name>
+    <message>
+        <location filename="../commands.py" line="117"/>
+        <source>Internal Involute Gear</source>
+        <translation>Εσωτερικό Ελικοειδές Γρανάζι</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="122"/>
+        <source>Create an internal involute gear</source>
+        <translation>Δημιουργήστε ένα εσωτερικό ελικοειδές γρανάζι</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InvoluteGear</name>
+    <message>
+        <location filename="../commands.py" line="105"/>
+        <source>Involute Gear</source>
+        <translation>Ελικοειδές Γρανάζια</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="110"/>
+        <source>Create an external involute gear</source>
+        <translation>Δημιουργήστε ένα εξωτερικό ελικοειδές γρανάζι</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InvoluteRack</name>
+    <message>
+        <location filename="../commands.py" line="127"/>
+        <source>Involute Rack</source>
+        <translation>Ελικοειδές Οδοντωτή ράβδος</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="130"/>
+        <source>Create an Involute rack</source>
+        <translation>Δημιουργήστε μαι Ελικοειδή Οδοντωτή ράβδος</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_LanternGear</name>
+    <message>
+        <location filename="../commands.py" line="201"/>
+        <source>Lantern Gear</source>
+        <translation type="unfinished">Lantern Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="204"/>
+        <source>Create a Lantern gear</source>
+        <translation type="unfinished">Create a Lantern gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_TimingGear</name>
+    <message>
+        <location filename="../commands.py" line="193"/>
+        <source>Timing Gear</source>
+        <translation type="unfinished">Timing Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="196"/>
+        <source>Create a Timing gear</source>
+        <translation type="unfinished">Create a Timing gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_TimingGearT</name>
+    <message>
+        <location filename="../commands.py" line="185"/>
+        <source>Timing Gear T-shape</source>
+        <translation type="unfinished">Timing Gear T-shape</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="188"/>
+        <source>Create a Timing gear T-shape</source>
+        <translation type="unfinished">Create a Timing gear T-shape</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_WormGear</name>
+    <message>
+        <location filename="../commands.py" line="177"/>
+        <source>Worm Gear</source>
+        <translation type="unfinished">Worm Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="180"/>
+        <source>Create a Worm gear</source>
+        <translation type="unfinished">Create a Worm gear</translation>
+    </message>
+</context>
+<context>
+    <name>Log</name>
+    <message>
+        <location filename="../commands.py" line="218"/>
+        <source>Please select two gear objects.</source>
+        <translation type="unfinished">Please select two gear objects.</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="224"/>
+        <source>Selected object is not a gear.</source>
+        <translation type="unfinished">Selected object is not a gear.</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="94"/>
+        <source>Gear module: Crown gear created, preview_mode = true for improved performance. Set preview_mode property to false when ready to cut teeth.</source>
+        <translation type="unfinished">Gear module: Crown gear created, preview_mode = true for improved performance. Set preview_mode property to false when ready to cut teeth.</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="227"/>
+        <source>Generating cam disk
+</source>
+        <translation type="unfinished">Generating cam disk
+</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="269"/>
+        <source>Generating secondary cam disk
+</source>
+        <translation type="unfinished">Generating secondary cam disk
+</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="287"/>
+        <source>Generating pins
+</source>
+        <translation type="unfinished">Generating pins
+</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="39"/>
+        <source>Checking FreeCAD version
+</source>
+        <translation type="unfinished">Checking FreeCAD version
+</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="73"/>
+        <source>FreeCAD version (currently {}.{}.{} ({})) must be at least {}.{}.{} ({}) in order to work with Python 3.11 and above
+</source>
+        <translation>Η έκδοση FreeCAD (προς το παρόν {}.{}.{} ({})) πρέπει να είναι τουλάχιστον {}.{}.{} ({}) για να λειτουργήσει με Python 3.11 και νεότερη έκδοση
+</translation>
+    </message>
+    <message>
+        <location filename="../basegear.py" line="137"/>
+        <source>Migrating &apos;teeth&apos; property to &apos;num_teeth&apos; on {} part
+</source>
+        <translation type="unfinished">Migrating &apos;teeth&apos; property to &apos;num_teeth&apos; on {} part
+</translation>
+    </message>
+</context>
+<context>
+    <name>Workbench</name>
+    <message>
+        <location filename="../init_gui.py" line="90"/>
+        <location filename="../init_gui.py" line="129"/>
+        <location filename="../init_gui.py" line="130"/>
+        <source>Gear</source>
+        <translation>Γρανάζι</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="91"/>
+        <source>Gear Workbench</source>
+        <translation>Πάγκος εργασίας Γραναζιών</translation>
+    </message>
+</context>
+</TS>

freecad/gears/translations/Gear_es-AR.ts

@@ -0,0 +1,719 @@
+<?xml version="1.0" encoding="utf-8"?>
+<!DOCTYPE TS>
+<TS version="2.1" language="es_AR" sourcelanguage="en_US">
+<context>
+    <name>App::Property</name>
+    <message>
+        <location filename="../basegear.py" line="101"/>
+        <location filename="../connector.py" line="72"/>
+        <source>freecad.gears-version</source>
+        <translation>Versión de freecad.gears</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="45"/>
+        <location filename="../crowngear.py" line="44"/>
+        <location filename="../cycloidgear.py" line="47"/>
+        <location filename="../cycloidgearrack.py" line="42"/>
+        <location filename="../internalinvolutegear.py" line="59"/>
+        <location filename="../involutegear.py" line="86"/>
+        <location filename="../involutegearrack.py" line="40"/>
+        <location filename="../lanterngear.py" line="40"/>
+        <location filename="../timinggear.py" line="112"/>
+        <location filename="../timinggear_t.py" line="46"/>
+        <location filename="../wormgear.py" line="41"/>
+        <source>number of teeth</source>
+        <translation>Número de dientes</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="51"/>
+        <location filename="../crowngear.py" line="62"/>
+        <location filename="../cycloidgear.py" line="59"/>
+        <location filename="../cycloidgearrack.py" line="48"/>
+        <location filename="../hypocycloidgear.py" line="105"/>
+        <location filename="../hypocycloidgear.py" line="130"/>
+        <location filename="../internalinvolutegear.py" line="74"/>
+        <location filename="../involutegear.py" line="101"/>
+        <location filename="../involutegearrack.py" line="46"/>
+        <location filename="../lanterngear.py" line="58"/>
+        <location filename="../timinggear.py" line="124"/>
+        <location filename="../wormgear.py" line="53"/>
+        <source>height</source>
+        <translation>Altura</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="57"/>
+        <source>pitch_angle</source>
+        <translation>Ángulo de paso</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="63"/>
+        <source>pressure_angle</source>
+        <translation>Ángulo de presión</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="69"/>
+        <location filename="../crowngear.py" line="56"/>
+        <location filename="../cycloidgear.py" line="53"/>
+        <location filename="../involutegearrack.py" line="52"/>
+        <location filename="../lanterngear.py" line="46"/>
+        <location filename="../wormgear.py" line="47"/>
+        <source>module</source>
+        <translation>Módulo</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="75"/>
+        <location filename="../cycloidgear.py" line="136"/>
+        <location filename="../internalinvolutegear.py" line="225"/>
+        <location filename="../involutegear.py" line="231"/>
+        <source>clearance</source>
+        <translation>Margen</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="81"/>
+        <location filename="../cycloidgear.py" line="65"/>
+        <location filename="../cycloidgearrack.py" line="70"/>
+        <location filename="../internalinvolutegear.py" line="86"/>
+        <location filename="../involutegear.py" line="253"/>
+        <source>number of points for spline</source>
+        <translatorcomment>En la página wiki en español se mantiene la palabra &quot;spline&quot;: https://es.wikipedia.org/wiki/Spline</translatorcomment>
+        <translation>Número de puntos para la spline</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="90"/>
+        <source>if value is true the gears outer face will match the z=0 plane</source>
+        <translation>Si el valor es verdadero la cara exterior del engranaje va a coincidir con el plano z=0</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="99"/>
+        <location filename="../cycloidgear.py" line="145"/>
+        <location filename="../internalinvolutegear.py" line="204"/>
+        <location filename="../involutegear.py" line="219"/>
+        <location filename="../timinggear_t.py" line="69"/>
+        <source>The arc length on the pitch circle by which the tooth thicknes is reduced.</source>
+        <translation>La longitud de arco en el círculo de paso en la que se reduce  el grosor del diente.</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="105"/>
+        <location filename="../cycloidgearrack.py" line="76"/>
+        <location filename="../internalinvolutegear.py" line="92"/>
+        <location filename="../involutegearrack.py" line="73"/>
+        <source>test</source>
+        <translation>Prueba</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="111"/>
+        <source>angle used for spiral bevel-gears</source>
+        <translation>Ángulo utilizado para engranajes cónicos en espiral</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="117"/>
+        <location filename="../cycloidgear.py" line="179"/>
+        <location filename="../internalinvolutegear.py" line="144"/>
+        <location filename="../involutegear.py" line="185"/>
+        <source>The pitch diameter.</source>
+        <translation>El diámetro de paso.</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="132"/>
+        <location filename="../cycloidgear.py" line="194"/>
+        <location filename="../internalinvolutegear.py" line="153"/>
+        <location filename="../involutegear.py" line="195"/>
+        <source>The angle by which this gear can turn without moving the mating gear.</source>
+        <translation>El ángulo que puede girar este engranaje sin mover el engranaje de acoplamiento.</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="79"/>
+        <source>master gear</source>
+        <translation>Engranaje maestro</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="86"/>
+        <source>slave gear</source>
+        <translation>Engranaje esclavo</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="93"/>
+        <location filename="../connector.py" line="100"/>
+        <source>angle at which second gear is placed</source>
+        <translation>Ángulo al cual el segundo engrane es colocado</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="50"/>
+        <source>number of teeth of other gear</source>
+        <translation>Número de dientes del otro engranaje</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="68"/>
+        <location filename="../cycloidgearrack.py" line="54"/>
+        <location filename="../internalinvolutegear.py" line="80"/>
+        <location filename="../involutegearrack.py" line="58"/>
+        <source>thickness</source>
+        <translation>Grosor</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="74"/>
+        <location filename="../internalinvolutegear.py" line="239"/>
+        <location filename="../involutegear.py" line="107"/>
+        <location filename="../involutegearrack.py" line="160"/>
+        <location filename="../wormgear.py" line="72"/>
+        <source>pressure angle</source>
+        <translation>Ángulo de presión</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="101"/>
+        <location filename="../lanterngear.py" line="64"/>
+        <source>number of profiles used for loft</source>
+        <translation>Número de perfiles usados en la proyección</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="107"/>
+        <source>if true no boolean operation is done</source>
+        <translation>Si es verdadero ninguna operación booleana es realizada</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="71"/>
+        <source>the python object</source>
+        <translation>El objeto Python</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="102"/>
+        <location filename="../cycloidgearrack.py" line="110"/>
+        <location filename="../internalinvolutegear.py" line="253"/>
+        <location filename="../involutegear.py" line="162"/>
+        <location filename="../involutegearrack.py" line="116"/>
+        <source>double helix</source>
+        <translation>Hélice doble</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="108"/>
+        <location filename="../cycloidgearrack.py" line="104"/>
+        <location filename="../internalinvolutegear.py" line="247"/>
+        <location filename="../involutegear.py" line="156"/>
+        <location filename="../involutegearrack.py" line="110"/>
+        <location filename="../wormgear.py" line="65"/>
+        <source>beta</source>
+        <translation>Beta</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="119"/>
+        <location filename="../cycloidgearrack.py" line="175"/>
+        <location filename="../internalinvolutegear.py" line="184"/>
+        <location filename="../involutegear.py" line="130"/>
+        <location filename="../involutegearrack.py" line="171"/>
+        <location filename="../timinggear_t.py" line="78"/>
+        <source>a fillet for the tooth-head, radius = head_fillet x module</source>
+        <translation>Un redondeo para la cabeza del diente, radio = redondeo_cabeza x módulo</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="128"/>
+        <location filename="../cycloidgearrack.py" line="184"/>
+        <location filename="../internalinvolutegear.py" line="193"/>
+        <location filename="../involutegear.py" line="139"/>
+        <location filename="../involutegearrack.py" line="180"/>
+        <location filename="../timinggear_t.py" line="87"/>
+        <source>a fillet for the tooth-root, radius = root_fillet x module</source>
+        <translation>Un redondeo para la raíz del diente, radio = redondeo_raíz x módulo</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="153"/>
+        <location filename="../internalinvolutegear.py" line="219"/>
+        <location filename="../involutegear.py" line="239"/>
+        <source>head_value * module_value = additional length of head</source>
+        <translation>valor_cabeza * valor_módulo = longitud adicional de la cabeza</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="163"/>
+        <location filename="../cycloidgearrack.py" line="156"/>
+        <source>inner_diameter divided by module (hypocycloid)</source>
+        <translation>Diámetro interno dividido por el módulo (hipocicloide)</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="171"/>
+        <location filename="../cycloidgearrack.py" line="164"/>
+        <source>outer_diameter divided by module (epicycloid)</source>
+        <translation>Diámetro externo dividido por el módulo (epicicloide)</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="64"/>
+        <location filename="../involutegearrack.py" line="67"/>
+        <source>if enabled the rack is drawn with a constant number of teeth to avoid topologic renaming.</source>
+        <translation>Si está activada, la cremallera se dibuja con un número constante de dientes para evitar el renombrado topológico.</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="118"/>
+        <location filename="../involutegearrack.py" line="124"/>
+        <source>pitch in the transverse plane</source>
+        <translation>Paso en el plano transversal</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="128"/>
+        <location filename="../involutegearrack.py" line="134"/>
+        <source>if enabled the total length of the rack is teeth x pitch, otherwise the rack starts with a tooth-flank</source>
+        <translation>Si está activada, la longitud total de la cremallera es dientes x paso, en caso contrario la cremallera comienza con un flanco de diente</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="138"/>
+        <location filename="../involutegearrack.py" line="144"/>
+        <location filename="../lanterngear.py" line="72"/>
+        <location filename="../wormgear.py" line="86"/>
+        <source>head * module = additional length of head</source>
+        <translation>cabeza * módulo = longitud adicional de la cabeza</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="146"/>
+        <location filename="../involutegearrack.py" line="152"/>
+        <location filename="../wormgear.py" line="94"/>
+        <source>clearance * module = additional length of root</source>
+        <translation>margen * módulo = longitud adicional de la raíz</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="48"/>
+        <source>Pin ball circle radius (overrides Tooth Pitch)</source>
+        <translation>Radio del círculo de la bola del pasador (anula el paso del diente)</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="54"/>
+        <source>Roller Diameter</source>
+        <translation>Diámetro de rodillo</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="60"/>
+        <source>Eccentricity</source>
+        <translation>Excentricidad</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="66"/>
+        <source>Pressure angle limit</source>
+        <translation>Límite de ángulo de presión</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="72"/>
+        <source>Offset in pressure angle</source>
+        <translation>Desplazamiento en el ángulo de presión</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="78"/>
+        <source>Number of teeth in Cam</source>
+        <translation>Número de dientes en la leva</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="86"/>
+        <source>Number of points used for spline interpolation</source>
+        <translation>Número de puntos usados en la interpolación de la spline</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="92"/>
+        <source>Center hole&apos;s radius</source>
+        <translation>Radio del agujero central</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="99"/>
+        <source>Create pins in place</source>
+        <translation>Crear pasadores en el lugar</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="111"/>
+        <source>Center pin Z axis to generated disks</source>
+        <translation>Centrar el eje Z del pasador a los discos generados</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="118"/>
+        <source>Show main cam disk</source>
+        <translation>Mostrar disco de levas principal</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="124"/>
+        <source>Show another reversed cam disk on top</source>
+        <translation>Mostrar otro disco de leva invertido en la parte superior</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="53"/>
+        <location filename="../involutegear.py" line="247"/>
+        <source>simple</source>
+        <translation>Simple</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="68"/>
+        <location filename="../involutegear.py" line="95"/>
+        <source>normal module if properties_from_tool=True, else it&apos;s the transverse module.</source>
+        <translation>Módulo normal si properties_from_tool es verdadero, en caso contrario es el módulo transversal.</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="128"/>
+        <source>inside diameter</source>
+        <translation>Diámetro interior</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="135"/>
+        <location filename="../involutegear.py" line="177"/>
+        <source>root diameter</source>
+        <translation>Diámetro raíz</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="165"/>
+        <location filename="../involutegear.py" line="207"/>
+        <source>transverse_pitch</source>
+        <translation>Paso transversal</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="172"/>
+        <source>Outside diameter</source>
+        <translation>Diámetro exterior</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="210"/>
+        <location filename="../involutegear.py" line="225"/>
+        <source>backlash direction</source>
+        <translation>Dirección de retroceso</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="233"/>
+        <location filename="../involutegear.py" line="113"/>
+        <source>shift</source>
+        <translation>Desplazamiento</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="262"/>
+        <location filename="../involutegear.py" line="150"/>
+        <location filename="../involutegearrack.py" line="104"/>
+        <source>if beta is given and properties_from_tool is enabled, gear parameters are internally recomputed for the rotated gear</source>
+        <translation>Si se indica beta y se activa properties_from_tool, los parámetros del engranaje se vuelven a calcular internamente para el engranaje girado</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="49"/>
+        <source>python gear object</source>
+        <translation>Objeto engranaje Python</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="121"/>
+        <source>undercut</source>
+        <translation>Socavado</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="170"/>
+        <source>outside diameter</source>
+        <translation>Diámetro exterior</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="261"/>
+        <source>traverse module of the generated gear</source>
+        <translation>Módulo transversal del engranaje generado</translation>
+    </message>
+    <message>
+        <location filename="../lanterngear.py" line="52"/>
+        <source>the bolt radius of the rack/chain</source>
+        <translation>El radio del perno de la cremallera/cadena</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="118"/>
+        <source>type of timing-gear</source>
+        <translation>Tipo de piñon de sincronización</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="130"/>
+        <location filename="../timinggear_t.py" line="40"/>
+        <source>pitch of gear</source>
+        <translation>Paso del engranaje</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="137"/>
+        <source>radial height of teeth</source>
+        <translation>Altura radial del diente</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="147"/>
+        <source>radial difference between pitch diameter and head of gear</source>
+        <translation>diferencia radial entre el diámetro de paso y la cabeza del engranaje</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="154"/>
+        <source>radius of first arc</source>
+        <translation>Radio del primer arco</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="161"/>
+        <source>radius of second arc</source>
+        <translation>Radio del segundo arco</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="168"/>
+        <source>radius of third arc</source>
+        <translation>Radios del tercer radio</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="175"/>
+        <source>x-offset of second arc-midpoint</source>
+        <translation>Desplazamiento en x del segundo punto medio del arco</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="52"/>
+        <source>radial height of tooth</source>
+        <translation>Altura radial del diente</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="60"/>
+        <source>radial distance from tooth-head to pitch circle</source>
+        <translation>Distancia radial desde la cabeza del diente a círculo de paso</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="93"/>
+        <source>angle of tooth flanks</source>
+        <translation>Ángulo de los flancos de los dientes</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="99"/>
+        <source>extrusion height</source>
+        <translation>Altura de extrusión</translation>
+    </message>
+    <message>
+        <location filename="../wormgear.py" line="59"/>
+        <source>diameter</source>
+        <translation>Diámetro</translation>
+    </message>
+    <message>
+        <location filename="../wormgear.py" line="78"/>
+        <source>reverse rotation of helix</source>
+        <translation>Revertir rotación de hélice</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_BevelGear</name>
+    <message>
+        <location filename="../commands.py" line="159"/>
+        <source>Bevel Gear</source>
+        <translation>Engranaje cónico</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="162"/>
+        <source>Create a Bevel gear</source>
+        <translation>Crear un engranaje cónico</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CrownGear</name>
+    <message>
+        <location filename="../commands.py" line="143"/>
+        <source>Crown Gear</source>
+        <translation>Engranaje de corona</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="146"/>
+        <source>Create a Crown gear</source>
+        <translation>Crear un engranaje de corona</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CycloidGear</name>
+    <message>
+        <location filename="../commands.py" line="151"/>
+        <source>Cycloid Gear</source>
+        <translation>Engranaje cicloide</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="154"/>
+        <source>Create a Cycloid gear</source>
+        <translation>Crear un engranaje cicloide</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CycloidRack</name>
+    <message>
+        <location filename="../commands.py" line="135"/>
+        <source>Cycloid Rack</source>
+        <translation>Cremallera cicloide</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="138"/>
+        <source>Create an Cycloid rack</source>
+        <translation>Crear una cremallera cicloide</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_GearConnector</name>
+    <message>
+        <location filename="../commands.py" line="209"/>
+        <location filename="../commands.py" line="211"/>
+        <source>Combine two gears</source>
+        <translation>Combinar dos engranajes</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_HypoCycloidGear</name>
+    <message>
+        <location filename="../commands.py" line="167"/>
+        <source>HypoCycloid Gear</source>
+        <translation>Engranaje hipocicloide</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="172"/>
+        <source>Create a HypoCycloid gear with its pins</source>
+        <translation>Crear un engranaje hipocicloide con sus pasadores</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InternalInvoluteGear</name>
+    <message>
+        <location filename="../commands.py" line="117"/>
+        <source>Internal Involute Gear</source>
+        <translation>Engranaje evolvente interno</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="122"/>
+        <source>Create an internal involute gear</source>
+        <translation>Crear un engranaje evolvente interno</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InvoluteGear</name>
+    <message>
+        <location filename="../commands.py" line="105"/>
+        <source>Involute Gear</source>
+        <translation>Engranaje evolvente</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="110"/>
+        <source>Create an external involute gear</source>
+        <translation>Crear un engranaje evolvente externo</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InvoluteRack</name>
+    <message>
+        <location filename="../commands.py" line="127"/>
+        <source>Involute Rack</source>
+        <translation>Cremallera evolvente</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="130"/>
+        <source>Create an Involute rack</source>
+        <translation>Crear un cremallera evolvente</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_LanternGear</name>
+    <message>
+        <location filename="../commands.py" line="201"/>
+        <source>Lantern Gear</source>
+        <translation>Piñon de linterna</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="204"/>
+        <source>Create a Lantern gear</source>
+        <translation>Crear un piñon de linterna</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_TimingGear</name>
+    <message>
+        <location filename="../commands.py" line="193"/>
+        <source>Timing Gear</source>
+        <translation>Piñon de sincronización</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="196"/>
+        <source>Create a Timing gear</source>
+        <translation>Crear un piñon de sincronización</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_TimingGearT</name>
+    <message>
+        <location filename="../commands.py" line="185"/>
+        <source>Timing Gear T-shape</source>
+        <translation>Piñon de sincronización con forma de T</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="188"/>
+        <source>Create a Timing gear T-shape</source>
+        <translation>Crear un piñon de sincronización con forma de T</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_WormGear</name>
+    <message>
+        <location filename="../commands.py" line="177"/>
+        <source>Worm Gear</source>
+        <translation>Tornillo sin fin</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="180"/>
+        <source>Create a Worm gear</source>
+        <translation>Crear un tornillo sin fin</translation>
+    </message>
+</context>
+<context>
+    <name>Log</name>
+    <message>
+        <location filename="../commands.py" line="218"/>
+        <source>Please select two gear objects.</source>
+        <translation>Por favor seleccione dos objetos de tipo engranaje.</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="224"/>
+        <source>Selected object is not a gear.</source>
+        <translation>El objeto seleccionado no es un engranaje.</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="94"/>
+        <source>Gear module: Crown gear created, preview_mode = true for improved performance. Set preview_mode property to false when ready to cut teeth.</source>
+        <translation>Módulo Gear:  Engranaje de corona creado, preview_mode=true para un rendimiento mejorado. Establezca la propiedad preview_mode en falso cuando esté listo para cortar los dientes.</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="227"/>
+        <source>Generating cam disk
+</source>
+        <translation>Generando disco de leva
+</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="269"/>
+        <source>Generating secondary cam disk
+</source>
+        <translation>Generando disco de leva secundario
+</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="287"/>
+        <source>Generating pins
+</source>
+        <translation>Generando pasadores
+</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="39"/>
+        <source>Checking FreeCAD version
+</source>
+        <translation>Comprobando versión de FreeCAD
+</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="73"/>
+        <source>FreeCAD version (currently {}.{}.{} ({})) must be at least {}.{}.{} ({}) in order to work with Python 3.11 and above
+</source>
+        <translation>La versión de FreeCAD (actualmente {}.{}.{} ({})) debe de ser por lo menos {}.{}.{} ({}) para poder trabajar con Python 3.11 y versiones superiores
+</translation>
+    </message>
+    <message>
+        <location filename="../basegear.py" line="137"/>
+        <source>Migrating &apos;teeth&apos; property to &apos;num_teeth&apos; on {} part
+</source>
+        <translation>Migrando propiedad de &apos;teeth&apos; a &apos;num_teeth&apos; en la parte {}
+</translation>
+    </message>
+</context>
+<context>
+    <name>Workbench</name>
+    <message>
+        <location filename="../init_gui.py" line="90"/>
+        <location filename="../init_gui.py" line="129"/>
+        <location filename="../init_gui.py" line="130"/>
+        <source>Gear</source>
+        <translation>Engranajes</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="91"/>
+        <source>Gear Workbench</source>
+        <translation>Banco de trabajo Engranajes</translation>
+    </message>
+</context>
+</TS>

freecad/gears/translations/Gear_es-ES.ts

@@ -0,0 +1,719 @@
+<?xml version="1.0" encoding="utf-8"?>
+<!DOCTYPE TS>
+<TS version="2.1" language="es_ES" sourcelanguage="en_US">
+<context>
+    <name>App::Property</name>
+    <message>
+        <location filename="../basegear.py" line="101"/>
+        <location filename="../connector.py" line="72"/>
+        <source>freecad.gears-version</source>
+        <translation>Versión de freecad.gears</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="45"/>
+        <location filename="../crowngear.py" line="44"/>
+        <location filename="../cycloidgear.py" line="47"/>
+        <location filename="../cycloidgearrack.py" line="42"/>
+        <location filename="../internalinvolutegear.py" line="59"/>
+        <location filename="../involutegear.py" line="86"/>
+        <location filename="../involutegearrack.py" line="40"/>
+        <location filename="../lanterngear.py" line="40"/>
+        <location filename="../timinggear.py" line="112"/>
+        <location filename="../timinggear_t.py" line="46"/>
+        <location filename="../wormgear.py" line="41"/>
+        <source>number of teeth</source>
+        <translation>Número de dientes</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="51"/>
+        <location filename="../crowngear.py" line="62"/>
+        <location filename="../cycloidgear.py" line="59"/>
+        <location filename="../cycloidgearrack.py" line="48"/>
+        <location filename="../hypocycloidgear.py" line="105"/>
+        <location filename="../hypocycloidgear.py" line="130"/>
+        <location filename="../internalinvolutegear.py" line="74"/>
+        <location filename="../involutegear.py" line="101"/>
+        <location filename="../involutegearrack.py" line="46"/>
+        <location filename="../lanterngear.py" line="58"/>
+        <location filename="../timinggear.py" line="124"/>
+        <location filename="../wormgear.py" line="53"/>
+        <source>height</source>
+        <translation>Altura</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="57"/>
+        <source>pitch_angle</source>
+        <translation>Ángulo de paso</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="63"/>
+        <source>pressure_angle</source>
+        <translation>Ángulo de presión</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="69"/>
+        <location filename="../crowngear.py" line="56"/>
+        <location filename="../cycloidgear.py" line="53"/>
+        <location filename="../involutegearrack.py" line="52"/>
+        <location filename="../lanterngear.py" line="46"/>
+        <location filename="../wormgear.py" line="47"/>
+        <source>module</source>
+        <translation>Módulo</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="75"/>
+        <location filename="../cycloidgear.py" line="136"/>
+        <location filename="../internalinvolutegear.py" line="225"/>
+        <location filename="../involutegear.py" line="231"/>
+        <source>clearance</source>
+        <translation>Margen</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="81"/>
+        <location filename="../cycloidgear.py" line="65"/>
+        <location filename="../cycloidgearrack.py" line="70"/>
+        <location filename="../internalinvolutegear.py" line="86"/>
+        <location filename="../involutegear.py" line="253"/>
+        <source>number of points for spline</source>
+        <translatorcomment>En la página wiki en español se mantiene la palabra &quot;spline&quot;: https://es.wikipedia.org/wiki/Spline</translatorcomment>
+        <translation>Número de puntos para la spline</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="90"/>
+        <source>if value is true the gears outer face will match the z=0 plane</source>
+        <translation>Si el valor es verdadero la cara exterior del engranaje va a coincidir con el plano z=0</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="99"/>
+        <location filename="../cycloidgear.py" line="145"/>
+        <location filename="../internalinvolutegear.py" line="204"/>
+        <location filename="../involutegear.py" line="219"/>
+        <location filename="../timinggear_t.py" line="69"/>
+        <source>The arc length on the pitch circle by which the tooth thicknes is reduced.</source>
+        <translation>La longitud de arco en el círculo de paso en la que se reduce  el grosor del diente.</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="105"/>
+        <location filename="../cycloidgearrack.py" line="76"/>
+        <location filename="../internalinvolutegear.py" line="92"/>
+        <location filename="../involutegearrack.py" line="73"/>
+        <source>test</source>
+        <translation>Prueba</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="111"/>
+        <source>angle used for spiral bevel-gears</source>
+        <translation>Ángulo utilizado para engranajes cónicos en espiral</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="117"/>
+        <location filename="../cycloidgear.py" line="179"/>
+        <location filename="../internalinvolutegear.py" line="144"/>
+        <location filename="../involutegear.py" line="185"/>
+        <source>The pitch diameter.</source>
+        <translation>El diámetro de paso.</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="132"/>
+        <location filename="../cycloidgear.py" line="194"/>
+        <location filename="../internalinvolutegear.py" line="153"/>
+        <location filename="../involutegear.py" line="195"/>
+        <source>The angle by which this gear can turn without moving the mating gear.</source>
+        <translation>El ángulo que puede girar este engranaje sin mover el engranaje de acoplamiento.</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="79"/>
+        <source>master gear</source>
+        <translation>Engranaje maestro</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="86"/>
+        <source>slave gear</source>
+        <translation>Engranaje esclavo</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="93"/>
+        <location filename="../connector.py" line="100"/>
+        <source>angle at which second gear is placed</source>
+        <translation>Ángulo al cual el segundo engrane es colocado</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="50"/>
+        <source>number of teeth of other gear</source>
+        <translation>Número de dientes del otro engranaje</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="68"/>
+        <location filename="../cycloidgearrack.py" line="54"/>
+        <location filename="../internalinvolutegear.py" line="80"/>
+        <location filename="../involutegearrack.py" line="58"/>
+        <source>thickness</source>
+        <translation>Grosor</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="74"/>
+        <location filename="../internalinvolutegear.py" line="239"/>
+        <location filename="../involutegear.py" line="107"/>
+        <location filename="../involutegearrack.py" line="160"/>
+        <location filename="../wormgear.py" line="72"/>
+        <source>pressure angle</source>
+        <translation>Ángulo de presión</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="101"/>
+        <location filename="../lanterngear.py" line="64"/>
+        <source>number of profiles used for loft</source>
+        <translation>Número de perfiles usados en la proyección</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="107"/>
+        <source>if true no boolean operation is done</source>
+        <translation>Si es verdadero ninguna operación booleana es realizada</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="71"/>
+        <source>the python object</source>
+        <translation>El objeto Python</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="102"/>
+        <location filename="../cycloidgearrack.py" line="110"/>
+        <location filename="../internalinvolutegear.py" line="253"/>
+        <location filename="../involutegear.py" line="162"/>
+        <location filename="../involutegearrack.py" line="116"/>
+        <source>double helix</source>
+        <translation>Hélice doble</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="108"/>
+        <location filename="../cycloidgearrack.py" line="104"/>
+        <location filename="../internalinvolutegear.py" line="247"/>
+        <location filename="../involutegear.py" line="156"/>
+        <location filename="../involutegearrack.py" line="110"/>
+        <location filename="../wormgear.py" line="65"/>
+        <source>beta</source>
+        <translation>Beta</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="119"/>
+        <location filename="../cycloidgearrack.py" line="175"/>
+        <location filename="../internalinvolutegear.py" line="184"/>
+        <location filename="../involutegear.py" line="130"/>
+        <location filename="../involutegearrack.py" line="171"/>
+        <location filename="../timinggear_t.py" line="78"/>
+        <source>a fillet for the tooth-head, radius = head_fillet x module</source>
+        <translation>Un redondeo para la cabeza del diente, radio = redondeo_cabeza x módulo</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="128"/>
+        <location filename="../cycloidgearrack.py" line="184"/>
+        <location filename="../internalinvolutegear.py" line="193"/>
+        <location filename="../involutegear.py" line="139"/>
+        <location filename="../involutegearrack.py" line="180"/>
+        <location filename="../timinggear_t.py" line="87"/>
+        <source>a fillet for the tooth-root, radius = root_fillet x module</source>
+        <translation>Un redondeo para la raíz del diente, radio = redondeo_raíz x módulo</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="153"/>
+        <location filename="../internalinvolutegear.py" line="219"/>
+        <location filename="../involutegear.py" line="239"/>
+        <source>head_value * module_value = additional length of head</source>
+        <translation>valor_cabeza * valor_módulo = longitud adicional de la cabeza</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="163"/>
+        <location filename="../cycloidgearrack.py" line="156"/>
+        <source>inner_diameter divided by module (hypocycloid)</source>
+        <translation>Diámetro interno dividido por el módulo (hipocicloide)</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="171"/>
+        <location filename="../cycloidgearrack.py" line="164"/>
+        <source>outer_diameter divided by module (epicycloid)</source>
+        <translation>Diámetro externo dividido por el módulo (epicicloide)</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="64"/>
+        <location filename="../involutegearrack.py" line="67"/>
+        <source>if enabled the rack is drawn with a constant number of teeth to avoid topologic renaming.</source>
+        <translation>Si está activada, la cremallera se dibuja con un número constante de dientes para evitar el renombrado topológico.</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="118"/>
+        <location filename="../involutegearrack.py" line="124"/>
+        <source>pitch in the transverse plane</source>
+        <translation>Paso en el plano transversal</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="128"/>
+        <location filename="../involutegearrack.py" line="134"/>
+        <source>if enabled the total length of the rack is teeth x pitch, otherwise the rack starts with a tooth-flank</source>
+        <translation>Si está activada, la longitud total de la cremallera es dientes x paso, en caso contrario la cremallera comienza con un flanco de diente</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="138"/>
+        <location filename="../involutegearrack.py" line="144"/>
+        <location filename="../lanterngear.py" line="72"/>
+        <location filename="../wormgear.py" line="86"/>
+        <source>head * module = additional length of head</source>
+        <translation>cabeza * módulo = longitud adicional de la cabeza</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="146"/>
+        <location filename="../involutegearrack.py" line="152"/>
+        <location filename="../wormgear.py" line="94"/>
+        <source>clearance * module = additional length of root</source>
+        <translation>margen * módulo = longitud adicional de la raíz</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="48"/>
+        <source>Pin ball circle radius (overrides Tooth Pitch)</source>
+        <translation>Radio del círculo de la bola del pasador (anula el paso del diente)</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="54"/>
+        <source>Roller Diameter</source>
+        <translation>Diámetro de rodillo</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="60"/>
+        <source>Eccentricity</source>
+        <translation>Excentricidad</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="66"/>
+        <source>Pressure angle limit</source>
+        <translation>Límite de ángulo de presión</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="72"/>
+        <source>Offset in pressure angle</source>
+        <translation>Desplazamiento en el ángulo de presión</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="78"/>
+        <source>Number of teeth in Cam</source>
+        <translation>Número de dientes en la leva</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="86"/>
+        <source>Number of points used for spline interpolation</source>
+        <translation>Número de puntos usados en la interpolación de la spline</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="92"/>
+        <source>Center hole&apos;s radius</source>
+        <translation>Radio del agujero central</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="99"/>
+        <source>Create pins in place</source>
+        <translation>Crear pasadores en el lugar</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="111"/>
+        <source>Center pin Z axis to generated disks</source>
+        <translation>Centrar el eje Z del pasador a los discos generados</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="118"/>
+        <source>Show main cam disk</source>
+        <translation>Mostrar disco de levas principal</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="124"/>
+        <source>Show another reversed cam disk on top</source>
+        <translation>Mostrar otro disco de leva invertido en la parte superior</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="53"/>
+        <location filename="../involutegear.py" line="247"/>
+        <source>simple</source>
+        <translation>Simple</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="68"/>
+        <location filename="../involutegear.py" line="95"/>
+        <source>normal module if properties_from_tool=True, else it&apos;s the transverse module.</source>
+        <translation>Módulo normal si properties_from_tool es verdadero, en caso contrario es el módulo transversal.</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="128"/>
+        <source>inside diameter</source>
+        <translation>Diámetro interior</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="135"/>
+        <location filename="../involutegear.py" line="177"/>
+        <source>root diameter</source>
+        <translation>Diámetro raíz</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="165"/>
+        <location filename="../involutegear.py" line="207"/>
+        <source>transverse_pitch</source>
+        <translation>Paso transversal</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="172"/>
+        <source>Outside diameter</source>
+        <translation>Diámetro exterior</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="210"/>
+        <location filename="../involutegear.py" line="225"/>
+        <source>backlash direction</source>
+        <translation>Dirección de retroceso</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="233"/>
+        <location filename="../involutegear.py" line="113"/>
+        <source>shift</source>
+        <translation>Desplazamiento</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="262"/>
+        <location filename="../involutegear.py" line="150"/>
+        <location filename="../involutegearrack.py" line="104"/>
+        <source>if beta is given and properties_from_tool is enabled, gear parameters are internally recomputed for the rotated gear</source>
+        <translation>Si se indica beta y se activa properties_from_tool, los parámetros del engranaje se vuelven a calcular internamente para el engranaje girado</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="49"/>
+        <source>python gear object</source>
+        <translation>Objeto engranaje Python</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="121"/>
+        <source>undercut</source>
+        <translation>Socavado</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="170"/>
+        <source>outside diameter</source>
+        <translation>Diámetro exterior</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="261"/>
+        <source>traverse module of the generated gear</source>
+        <translation>Módulo transversal del engranaje generado</translation>
+    </message>
+    <message>
+        <location filename="../lanterngear.py" line="52"/>
+        <source>the bolt radius of the rack/chain</source>
+        <translation>El radio del perno de la cremallera/cadena</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="118"/>
+        <source>type of timing-gear</source>
+        <translation>Tipo de piñon de sincronización</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="130"/>
+        <location filename="../timinggear_t.py" line="40"/>
+        <source>pitch of gear</source>
+        <translation>Paso del engranaje</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="137"/>
+        <source>radial height of teeth</source>
+        <translation>Altura radial del diente</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="147"/>
+        <source>radial difference between pitch diameter and head of gear</source>
+        <translation>diferencia radial entre el diámetro de paso y la cabeza del engranaje</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="154"/>
+        <source>radius of first arc</source>
+        <translation>Radio del primer arco</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="161"/>
+        <source>radius of second arc</source>
+        <translation>Radio del segundo arco</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="168"/>
+        <source>radius of third arc</source>
+        <translation>Radios del tercer radio</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="175"/>
+        <source>x-offset of second arc-midpoint</source>
+        <translation>Desplazamiento en x del segundo punto medio del arco</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="52"/>
+        <source>radial height of tooth</source>
+        <translation>Altura radial del diente</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="60"/>
+        <source>radial distance from tooth-head to pitch circle</source>
+        <translation>Distancia radial desde la cabeza del diente a círculo de paso</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="93"/>
+        <source>angle of tooth flanks</source>
+        <translation>Ángulo de los flancos de los dientes</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="99"/>
+        <source>extrusion height</source>
+        <translation>Altura de extrusión</translation>
+    </message>
+    <message>
+        <location filename="../wormgear.py" line="59"/>
+        <source>diameter</source>
+        <translation>Diámetro</translation>
+    </message>
+    <message>
+        <location filename="../wormgear.py" line="78"/>
+        <source>reverse rotation of helix</source>
+        <translation>Revertir rotación de hélice</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_BevelGear</name>
+    <message>
+        <location filename="../commands.py" line="159"/>
+        <source>Bevel Gear</source>
+        <translation>Engranaje cónico</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="162"/>
+        <source>Create a Bevel gear</source>
+        <translation>Crear un engranaje cónico</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CrownGear</name>
+    <message>
+        <location filename="../commands.py" line="143"/>
+        <source>Crown Gear</source>
+        <translation>Engranaje de corona</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="146"/>
+        <source>Create a Crown gear</source>
+        <translation>Crear un engranaje de corona</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CycloidGear</name>
+    <message>
+        <location filename="../commands.py" line="151"/>
+        <source>Cycloid Gear</source>
+        <translation>Engranaje cicloide</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="154"/>
+        <source>Create a Cycloid gear</source>
+        <translation>Crear un engranaje cicloide</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CycloidRack</name>
+    <message>
+        <location filename="../commands.py" line="135"/>
+        <source>Cycloid Rack</source>
+        <translation>Cremallera cicloide</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="138"/>
+        <source>Create an Cycloid rack</source>
+        <translation>Crear una cremallera cicloide</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_GearConnector</name>
+    <message>
+        <location filename="../commands.py" line="209"/>
+        <location filename="../commands.py" line="211"/>
+        <source>Combine two gears</source>
+        <translation>Combinar dos engranajes</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_HypoCycloidGear</name>
+    <message>
+        <location filename="../commands.py" line="167"/>
+        <source>HypoCycloid Gear</source>
+        <translation>Engranaje hipocicloide</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="172"/>
+        <source>Create a HypoCycloid gear with its pins</source>
+        <translation>Crear un engranaje hipocicloide con sus pasadores</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InternalInvoluteGear</name>
+    <message>
+        <location filename="../commands.py" line="117"/>
+        <source>Internal Involute Gear</source>
+        <translation>Engranaje evolvente interno</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="122"/>
+        <source>Create an internal involute gear</source>
+        <translation>Crear un engranaje evolvente interno</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InvoluteGear</name>
+    <message>
+        <location filename="../commands.py" line="105"/>
+        <source>Involute Gear</source>
+        <translation>Engranaje evolvente</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="110"/>
+        <source>Create an external involute gear</source>
+        <translation>Crear un engranaje evolvente externo</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InvoluteRack</name>
+    <message>
+        <location filename="../commands.py" line="127"/>
+        <source>Involute Rack</source>
+        <translation>Cremallera evolvente</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="130"/>
+        <source>Create an Involute rack</source>
+        <translation>Crear un cremallera evolvente</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_LanternGear</name>
+    <message>
+        <location filename="../commands.py" line="201"/>
+        <source>Lantern Gear</source>
+        <translation>Piñon de linterna</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="204"/>
+        <source>Create a Lantern gear</source>
+        <translation>Crear un piñon de linterna</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_TimingGear</name>
+    <message>
+        <location filename="../commands.py" line="193"/>
+        <source>Timing Gear</source>
+        <translation>Piñon de sincronización</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="196"/>
+        <source>Create a Timing gear</source>
+        <translation>Crear un piñon de sincronización</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_TimingGearT</name>
+    <message>
+        <location filename="../commands.py" line="185"/>
+        <source>Timing Gear T-shape</source>
+        <translation>Piñon de sincronización con forma de T</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="188"/>
+        <source>Create a Timing gear T-shape</source>
+        <translation>Crear un piñon de sincronización con forma de T</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_WormGear</name>
+    <message>
+        <location filename="../commands.py" line="177"/>
+        <source>Worm Gear</source>
+        <translation>Tornillo sin fin</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="180"/>
+        <source>Create a Worm gear</source>
+        <translation>Crear un tornillo sin fin</translation>
+    </message>
+</context>
+<context>
+    <name>Log</name>
+    <message>
+        <location filename="../commands.py" line="218"/>
+        <source>Please select two gear objects.</source>
+        <translation>Por favor seleccione dos objetos de tipo engranaje.</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="224"/>
+        <source>Selected object is not a gear.</source>
+        <translation>El objeto seleccionado no es un engranaje.</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="94"/>
+        <source>Gear module: Crown gear created, preview_mode = true for improved performance. Set preview_mode property to false when ready to cut teeth.</source>
+        <translation>Módulo Gear:  Engranaje de corona creado, preview_mode=true para un rendimiento mejorado. Establezca la propiedad preview_mode en falso cuando esté listo para cortar los dientes.</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="227"/>
+        <source>Generating cam disk
+</source>
+        <translation>Generando disco de leva
+</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="269"/>
+        <source>Generating secondary cam disk
+</source>
+        <translation>Generando disco de leva secundario
+</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="287"/>
+        <source>Generating pins
+</source>
+        <translation>Generando pasadores
+</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="39"/>
+        <source>Checking FreeCAD version
+</source>
+        <translation>Comprobando versión de FreeCAD
+</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="73"/>
+        <source>FreeCAD version (currently {}.{}.{} ({})) must be at least {}.{}.{} ({}) in order to work with Python 3.11 and above
+</source>
+        <translation>La versión de FreeCAD (actualmente {}.{}.{} ({})) debe de ser por lo menos {}.{}.{} ({}) para poder trabajar con Python 3.11 y versiones superiores
+</translation>
+    </message>
+    <message>
+        <location filename="../basegear.py" line="137"/>
+        <source>Migrating &apos;teeth&apos; property to &apos;num_teeth&apos; on {} part
+</source>
+        <translation>Migrando propiedad de &apos;teeth&apos; a &apos;num_teeth&apos; en la parte {}
+</translation>
+    </message>
+</context>
+<context>
+    <name>Workbench</name>
+    <message>
+        <location filename="../init_gui.py" line="90"/>
+        <location filename="../init_gui.py" line="129"/>
+        <location filename="../init_gui.py" line="130"/>
+        <source>Gear</source>
+        <translation>Engranajes</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="91"/>
+        <source>Gear Workbench</source>
+        <translation>Banco de trabajo Engranajes</translation>
+    </message>
+</context>
+</TS>

freecad/gears/translations/Gear_pl.ts

@@ -0,0 +1,720 @@
+<?xml version="1.0" encoding="utf-8"?>
+<!DOCTYPE TS>
+<TS version="2.1" language="pl" sourcelanguage="en_US">
+<context>
+    <name>App::Property</name>
+    <message>
+        <location filename="../basegear.py" line="101"/>
+        <location filename="../connector.py" line="72"/>
+        <source>freecad.gears-version</source>
+        <translation>wersja środowiska FreeCAD.gears</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="45"/>
+        <location filename="../crowngear.py" line="44"/>
+        <location filename="../cycloidgear.py" line="47"/>
+        <location filename="../cycloidgearrack.py" line="42"/>
+        <location filename="../internalinvolutegear.py" line="59"/>
+        <location filename="../involutegear.py" line="86"/>
+        <location filename="../involutegearrack.py" line="40"/>
+        <location filename="../lanterngear.py" line="40"/>
+        <location filename="../timinggear.py" line="112"/>
+        <location filename="../timinggear_t.py" line="46"/>
+        <location filename="../wormgear.py" line="41"/>
+        <source>number of teeth</source>
+        <translation>liczba zębów</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="51"/>
+        <location filename="../crowngear.py" line="62"/>
+        <location filename="../cycloidgear.py" line="59"/>
+        <location filename="../cycloidgearrack.py" line="48"/>
+        <location filename="../hypocycloidgear.py" line="105"/>
+        <location filename="../hypocycloidgear.py" line="130"/>
+        <location filename="../internalinvolutegear.py" line="74"/>
+        <location filename="../involutegear.py" line="101"/>
+        <location filename="../involutegearrack.py" line="46"/>
+        <location filename="../lanterngear.py" line="58"/>
+        <location filename="../timinggear.py" line="124"/>
+        <location filename="../wormgear.py" line="53"/>
+        <source>height</source>
+        <translation>wysokość</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="57"/>
+        <source>pitch_angle</source>
+        <translation>kąt_skoku</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="63"/>
+        <source>pressure_angle</source>
+        <translation>kąt_natarcia</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="69"/>
+        <location filename="../crowngear.py" line="56"/>
+        <location filename="../cycloidgear.py" line="53"/>
+        <location filename="../involutegearrack.py" line="52"/>
+        <location filename="../lanterngear.py" line="46"/>
+        <location filename="../wormgear.py" line="47"/>
+        <source>module</source>
+        <translation>moduł</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="75"/>
+        <location filename="../cycloidgear.py" line="136"/>
+        <location filename="../internalinvolutegear.py" line="225"/>
+        <location filename="../involutegear.py" line="231"/>
+        <source>clearance</source>
+        <translation>pasowanie</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="81"/>
+        <location filename="../cycloidgear.py" line="65"/>
+        <location filename="../cycloidgearrack.py" line="70"/>
+        <location filename="../internalinvolutegear.py" line="86"/>
+        <location filename="../involutegear.py" line="253"/>
+        <source>number of points for spline</source>
+        <translation>ilość węzłów linii złożonej</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="90"/>
+        <source>if value is true the gears outer face will match the z=0 plane</source>
+        <translation type="unfinished">if value is true the gears outer face will match the z=0 plane</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="99"/>
+        <location filename="../cycloidgear.py" line="145"/>
+        <location filename="../internalinvolutegear.py" line="204"/>
+        <location filename="../involutegear.py" line="219"/>
+        <location filename="../timinggear_t.py" line="69"/>
+        <source>The arc length on the pitch circle by which the tooth thicknes is reduced.</source>
+        <translation type="unfinished">The arc length on the pitch circle by which the tooth thicknes is reduced.</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="105"/>
+        <location filename="../cycloidgearrack.py" line="76"/>
+        <location filename="../internalinvolutegear.py" line="92"/>
+        <location filename="../involutegearrack.py" line="73"/>
+        <source>test</source>
+        <translation type="unfinished">test</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="111"/>
+        <source>angle used for spiral bevel-gears</source>
+        <translation type="unfinished">angle used for spiral bevel-gears</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="117"/>
+        <location filename="../cycloidgear.py" line="179"/>
+        <location filename="../internalinvolutegear.py" line="144"/>
+        <location filename="../involutegear.py" line="185"/>
+        <source>The pitch diameter.</source>
+        <translation>Średnica podziałki.</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="132"/>
+        <location filename="../cycloidgear.py" line="194"/>
+        <location filename="../internalinvolutegear.py" line="153"/>
+        <location filename="../involutegear.py" line="195"/>
+        <source>The angle by which this gear can turn without moving the mating gear.</source>
+        <translation type="unfinished">The angle by which this gear can turn without moving the mating gear.</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="79"/>
+        <source>master gear</source>
+        <translation>koło zębate główne</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="86"/>
+        <source>slave gear</source>
+        <translation>koło zębate podrzędne</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="93"/>
+        <location filename="../connector.py" line="100"/>
+        <source>angle at which second gear is placed</source>
+        <translation>kąt, pod którym ustawiony jest drugie koło zębate</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="50"/>
+        <source>number of teeth of other gear</source>
+        <translation>liczba zębów drugiego koła zębatego</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="68"/>
+        <location filename="../cycloidgearrack.py" line="54"/>
+        <location filename="../internalinvolutegear.py" line="80"/>
+        <location filename="../involutegearrack.py" line="58"/>
+        <source>thickness</source>
+        <translation>grubość</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="74"/>
+        <location filename="../internalinvolutegear.py" line="239"/>
+        <location filename="../involutegear.py" line="107"/>
+        <location filename="../involutegearrack.py" line="160"/>
+        <location filename="../wormgear.py" line="72"/>
+        <source>pressure angle</source>
+        <translation>kąt nacisku</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="101"/>
+        <location filename="../lanterngear.py" line="64"/>
+        <source>number of profiles used for loft</source>
+        <translation>liczba profili używanych dla loftu</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="107"/>
+        <source>if true no boolean operation is done</source>
+        <translation>jeśli prawda, żadna operacja logiczna nie będzie wykonana</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="71"/>
+        <source>the python object</source>
+        <translation>obiekt Pythona</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="102"/>
+        <location filename="../cycloidgearrack.py" line="110"/>
+        <location filename="../internalinvolutegear.py" line="253"/>
+        <location filename="../involutegear.py" line="162"/>
+        <location filename="../involutegearrack.py" line="116"/>
+        <source>double helix</source>
+        <translation>podwójna helisa</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="108"/>
+        <location filename="../cycloidgearrack.py" line="104"/>
+        <location filename="../internalinvolutegear.py" line="247"/>
+        <location filename="../involutegear.py" line="156"/>
+        <location filename="../involutegearrack.py" line="110"/>
+        <location filename="../wormgear.py" line="65"/>
+        <source>beta</source>
+        <translation>beta</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="119"/>
+        <location filename="../cycloidgearrack.py" line="175"/>
+        <location filename="../internalinvolutegear.py" line="184"/>
+        <location filename="../involutegear.py" line="130"/>
+        <location filename="../involutegearrack.py" line="171"/>
+        <location filename="../timinggear_t.py" line="78"/>
+        <source>a fillet for the tooth-head, radius = head_fillet x module</source>
+        <translation type="unfinished">a fillet for the tooth-head, radius = head_fillet x module</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="128"/>
+        <location filename="../cycloidgearrack.py" line="184"/>
+        <location filename="../internalinvolutegear.py" line="193"/>
+        <location filename="../involutegear.py" line="139"/>
+        <location filename="../involutegearrack.py" line="180"/>
+        <location filename="../timinggear_t.py" line="87"/>
+        <source>a fillet for the tooth-root, radius = root_fillet x module</source>
+        <translation type="unfinished">a fillet for the tooth-root, radius = root_fillet x module</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="153"/>
+        <location filename="../internalinvolutegear.py" line="219"/>
+        <location filename="../involutegear.py" line="239"/>
+        <source>head_value * module_value = additional length of head</source>
+        <translation type="unfinished">head_value * module_value = additional length of head</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="163"/>
+        <location filename="../cycloidgearrack.py" line="156"/>
+        <source>inner_diameter divided by module (hypocycloid)</source>
+        <translation type="unfinished">inner_diameter divided by module (hypocycloid)</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="171"/>
+        <location filename="../cycloidgearrack.py" line="164"/>
+        <source>outer_diameter divided by module (epicycloid)</source>
+        <translation type="unfinished">outer_diameter divided by module (epicycloid)</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="64"/>
+        <location filename="../involutegearrack.py" line="67"/>
+        <source>if enabled the rack is drawn with a constant number of teeth to avoid topologic renaming.</source>
+        <translation type="unfinished">if enabled the rack is drawn with a constant number of teeth to avoid topologic renaming.</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="118"/>
+        <location filename="../involutegearrack.py" line="124"/>
+        <source>pitch in the transverse plane</source>
+        <translation type="unfinished">pitch in the transverse plane</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="128"/>
+        <location filename="../involutegearrack.py" line="134"/>
+        <source>if enabled the total length of the rack is teeth x pitch, otherwise the rack starts with a tooth-flank</source>
+        <translation type="unfinished">if enabled the total length of the rack is teeth x pitch, otherwise the rack starts with a tooth-flank</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="138"/>
+        <location filename="../involutegearrack.py" line="144"/>
+        <location filename="../lanterngear.py" line="72"/>
+        <location filename="../wormgear.py" line="86"/>
+        <source>head * module = additional length of head</source>
+        <translation>głowica * moduł = dodatkowa długość głowicy</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="146"/>
+        <location filename="../involutegearrack.py" line="152"/>
+        <location filename="../wormgear.py" line="94"/>
+        <source>clearance * module = additional length of root</source>
+        <translation type="unfinished">clearance * module = additional length of root</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="48"/>
+        <source>Pin ball circle radius (overrides Tooth Pitch)</source>
+        <translation type="unfinished">Pin ball circle radius (overrides Tooth Pitch)</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="54"/>
+        <source>Roller Diameter</source>
+        <translation type="unfinished">Roller Diameter</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="60"/>
+        <source>Eccentricity</source>
+        <translation type="unfinished">Eccentricity</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="66"/>
+        <source>Pressure angle limit</source>
+        <translation>Ograniczenie kąta nacisku</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="72"/>
+        <source>Offset in pressure angle</source>
+        <translation>Przesunięcie w kącie nacisku</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="78"/>
+        <source>Number of teeth in Cam</source>
+        <translation type="unfinished">Number of teeth in Cam</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="86"/>
+        <source>Number of points used for spline interpolation</source>
+        <translation>Liczba punktów użytych do interpolacji splajnu</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="92"/>
+        <source>Center hole&apos;s radius</source>
+        <translation>Promień środkowego otworu</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="99"/>
+        <source>Create pins in place</source>
+        <translation>Tworzenie pinezek w miejscu</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="111"/>
+        <source>Center pin Z axis to generated disks</source>
+        <translation>Centrująca pinezka na osi Z do wygenerowania dysków</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="118"/>
+        <source>Show main cam disk</source>
+        <translation type="unfinished">Show main cam disk</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="124"/>
+        <source>Show another reversed cam disk on top</source>
+        <translation type="unfinished">Show another reversed cam disk on top</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="53"/>
+        <location filename="../involutegear.py" line="247"/>
+        <source>simple</source>
+        <translation>prosty</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="68"/>
+        <location filename="../involutegear.py" line="95"/>
+        <source>normal module if properties_from_tool=True, else it&apos;s the transverse module.</source>
+        <translation>normalny moduł, jeśli properties_from_tool=Prawda, w przeciwnym razie jest to moduł poprzeczny.</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="128"/>
+        <source>inside diameter</source>
+        <translation>średnica wewnętrzna</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="135"/>
+        <location filename="../involutegear.py" line="177"/>
+        <source>root diameter</source>
+        <translation>⌀ otworu</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="165"/>
+        <location filename="../involutegear.py" line="207"/>
+        <source>transverse_pitch</source>
+        <translation type="unfinished">transverse_pitch</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="172"/>
+        <source>Outside diameter</source>
+        <translation>Średnica zewnętrzna</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="210"/>
+        <location filename="../involutegear.py" line="225"/>
+        <source>backlash direction</source>
+        <translation>Kierunek luzu</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="233"/>
+        <location filename="../involutegear.py" line="113"/>
+        <source>shift</source>
+        <translation>przesunięcie</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="262"/>
+        <location filename="../involutegear.py" line="150"/>
+        <location filename="../involutegearrack.py" line="104"/>
+        <source>if beta is given and properties_from_tool is enabled, gear parameters are internally recomputed for the rotated gear</source>
+        <translation type="unfinished">if beta is given and properties_from_tool is enabled, gear parameters are internally recomputed for the rotated gear</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="49"/>
+        <source>python gear object</source>
+        <translation type="unfinished">python gear object</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="121"/>
+        <source>undercut</source>
+        <translation type="unfinished">undercut</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="170"/>
+        <source>outside diameter</source>
+        <translation>⌀ zewnętrzna</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="261"/>
+        <source>traverse module of the generated gear</source>
+        <translation type="unfinished">traverse module of the generated gear</translation>
+    </message>
+    <message>
+        <location filename="../lanterngear.py" line="52"/>
+        <source>the bolt radius of the rack/chain</source>
+        <translation type="unfinished">the bolt radius of the rack/chain</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="118"/>
+        <source>type of timing-gear</source>
+        <translation type="unfinished">type of timing-gear</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="130"/>
+        <location filename="../timinggear_t.py" line="40"/>
+        <source>pitch of gear</source>
+        <translation>skok koła zębatego</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="137"/>
+        <source>radial height of teeth</source>
+        <translation>promieniowa wysokość zęba</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="147"/>
+        <source>radial difference between pitch diameter and head of gear</source>
+        <translation type="unfinished">radial difference between pitch diameter and head of gear</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="154"/>
+        <source>radius of first arc</source>
+        <translation>promień pierwszego łuku</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="161"/>
+        <source>radius of second arc</source>
+        <translation>promień drugiego łuku</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="168"/>
+        <source>radius of third arc</source>
+        <translation>promień trzeciego łuku</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="175"/>
+        <source>x-offset of second arc-midpoint</source>
+        <translation type="unfinished">x-offset of second arc-midpoint</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="52"/>
+        <source>radial height of tooth</source>
+        <translation>promieniowa wysokość zęba</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="60"/>
+        <source>radial distance from tooth-head to pitch circle</source>
+        <translation type="unfinished">radial distance from tooth-head to pitch circle</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="93"/>
+        <source>angle of tooth flanks</source>
+        <translation type="unfinished">angle of tooth flanks</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="99"/>
+        <source>extrusion height</source>
+        <translation>wysokość wyciągnięcia</translation>
+    </message>
+    <message>
+        <location filename="../wormgear.py" line="59"/>
+        <source>diameter</source>
+        <translation>średnica</translation>
+    </message>
+    <message>
+        <location filename="../wormgear.py" line="78"/>
+        <source>reverse rotation of helix</source>
+        <translation>odwrotny skręt helisy</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_BevelGear</name>
+    <message>
+        <location filename="../commands.py" line="159"/>
+        <source>Bevel Gear</source>
+        <translation type="unfinished">Bevel Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="162"/>
+        <source>Create a Bevel gear</source>
+        <translation type="unfinished">Create a Bevel gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CrownGear</name>
+    <message>
+        <location filename="../commands.py" line="143"/>
+        <source>Crown Gear</source>
+        <translation type="unfinished">Crown Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="146"/>
+        <source>Create a Crown gear</source>
+        <translation type="unfinished">Create a Crown gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CycloidGear</name>
+    <message>
+        <location filename="../commands.py" line="151"/>
+        <source>Cycloid Gear</source>
+        <translation>Przekładnia cykloidalna</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="154"/>
+        <source>Create a Cycloid gear</source>
+        <translation>Utwórz przekładnię cykloidalną</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CycloidRack</name>
+    <message>
+        <location filename="../commands.py" line="135"/>
+        <source>Cycloid Rack</source>
+        <translation type="unfinished">Cycloid Rack</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="138"/>
+        <source>Create an Cycloid rack</source>
+        <translation type="unfinished">Create an Cycloid rack</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_GearConnector</name>
+    <message>
+        <location filename="../commands.py" line="209"/>
+        <location filename="../commands.py" line="211"/>
+        <source>Combine two gears</source>
+        <translation type="unfinished">Combine two gears</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_HypoCycloidGear</name>
+    <message>
+        <location filename="../commands.py" line="167"/>
+        <source>HypoCycloid Gear</source>
+        <translation type="unfinished">HypoCycloid Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="172"/>
+        <source>Create a HypoCycloid gear with its pins</source>
+        <translation type="unfinished">Create a HypoCycloid gear with its pins</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InternalInvoluteGear</name>
+    <message>
+        <location filename="../commands.py" line="117"/>
+        <source>Internal Involute Gear</source>
+        <translation type="unfinished">Internal Involute Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="122"/>
+        <source>Create an internal involute gear</source>
+        <translation type="unfinished">Create an internal involute gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InvoluteGear</name>
+    <message>
+        <location filename="../commands.py" line="105"/>
+        <source>Involute Gear</source>
+        <translation type="unfinished">Involute Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="110"/>
+        <source>Create an external involute gear</source>
+        <translation type="unfinished">Create an external involute gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InvoluteRack</name>
+    <message>
+        <location filename="../commands.py" line="127"/>
+        <source>Involute Rack</source>
+        <translation type="unfinished">Involute Rack</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="130"/>
+        <source>Create an Involute rack</source>
+        <translation type="unfinished">Create an Involute rack</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_LanternGear</name>
+    <message>
+        <location filename="../commands.py" line="201"/>
+        <source>Lantern Gear</source>
+        <translation type="unfinished">Lantern Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="204"/>
+        <source>Create a Lantern gear</source>
+        <translation type="unfinished">Create a Lantern gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_TimingGear</name>
+    <message>
+        <location filename="../commands.py" line="193"/>
+        <source>Timing Gear</source>
+        <translation type="unfinished">Timing Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="196"/>
+        <source>Create a Timing gear</source>
+        <translation type="unfinished">Create a Timing gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_TimingGearT</name>
+    <message>
+        <location filename="../commands.py" line="185"/>
+        <source>Timing Gear T-shape</source>
+        <translation type="unfinished">Timing Gear T-shape</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="188"/>
+        <source>Create a Timing gear T-shape</source>
+        <translation type="unfinished">Create a Timing gear T-shape</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_WormGear</name>
+    <message>
+        <location filename="../commands.py" line="177"/>
+        <source>Worm Gear</source>
+        <translation>Przekładnia ślimakowa</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="180"/>
+        <source>Create a Worm gear</source>
+        <translation>Utwórz przekładnię ślimakową</translation>
+    </message>
+</context>
+<context>
+    <name>Log</name>
+    <message>
+        <location filename="../commands.py" line="218"/>
+        <source>Please select two gear objects.</source>
+        <translation>Wybierz dwa obiekty przekładni.</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="224"/>
+        <source>Selected object is not a gear.</source>
+        <translation>Wybrany obiekt nie jest kołem zębatym.</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="94"/>
+        <source>Gear module: Crown gear created, preview_mode = true for improved performance. Set preview_mode property to false when ready to cut teeth.</source>
+        <translation>Moduł koła zębatego: Utworzono koło zębate koronowe, tryb podglądu = prawda dla lepszej wydajności. Ustaw właściwość preview_mode na fałsz, gdy będziesz gotowy do wycięcia zębów.</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="227"/>
+        <source>Generating cam disk
+</source>
+        <translation type="unfinished">Generating cam disk
+</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="269"/>
+        <source>Generating secondary cam disk
+</source>
+        <translation type="unfinished">Generating secondary cam disk
+</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="287"/>
+        <source>Generating pins
+</source>
+        <translation type="unfinished">Generating pins
+</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="39"/>
+        <source>Checking FreeCAD version
+</source>
+        <translation>Sprawdzanie wersji FreeCAD
+</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="73"/>
+        <source>FreeCAD version (currently {}.{}.{} ({})) must be at least {}.{}.{} ({}) in order to work with Python 3.11 and above
+</source>
+        <translation>Wersja FreeCAD (obecnie {}.{}.{} ({})) 
+musi to być co najmniej {}.{}.{} ({}), 
+aby zapewnić zgodność ze środowiskiem Python 3.11 i nowszym.
+</translation>
+    </message>
+    <message>
+        <location filename="../basegear.py" line="137"/>
+        <source>Migrating &apos;teeth&apos; property to &apos;num_teeth&apos; on {} part
+</source>
+        <translation type="unfinished">Migrating &apos;teeth&apos; property to &apos;num_teeth&apos; on {} part
+</translation>
+    </message>
+</context>
+<context>
+    <name>Workbench</name>
+    <message>
+        <location filename="../init_gui.py" line="90"/>
+        <location filename="../init_gui.py" line="129"/>
+        <location filename="../init_gui.py" line="130"/>
+        <source>Gear</source>
+        <translation>Zębatka</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="91"/>
+        <source>Gear Workbench</source>
+        <translation>Środowisko pracy Zębatka</translation>
+    </message>
+</context>
+</TS>

freecad/gears/translations/Gear_zh-TW.ts

@@ -0,0 +1,718 @@
+<?xml version="1.0" encoding="utf-8"?>
+<!DOCTYPE TS>
+<TS version="2.1" language="zh_TW" sourcelanguage="en_US">
+<context>
+    <name>App::Property</name>
+    <message>
+        <location filename="../basegear.py" line="101"/>
+        <location filename="../connector.py" line="72"/>
+        <source>freecad.gears-version</source>
+        <translation>freecad.齒輪-版本</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="45"/>
+        <location filename="../crowngear.py" line="44"/>
+        <location filename="../cycloidgear.py" line="47"/>
+        <location filename="../cycloidgearrack.py" line="42"/>
+        <location filename="../internalinvolutegear.py" line="59"/>
+        <location filename="../involutegear.py" line="86"/>
+        <location filename="../involutegearrack.py" line="40"/>
+        <location filename="../lanterngear.py" line="40"/>
+        <location filename="../timinggear.py" line="112"/>
+        <location filename="../timinggear_t.py" line="46"/>
+        <location filename="../wormgear.py" line="41"/>
+        <source>number of teeth</source>
+        <translation>齒數</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="51"/>
+        <location filename="../crowngear.py" line="62"/>
+        <location filename="../cycloidgear.py" line="59"/>
+        <location filename="../cycloidgearrack.py" line="48"/>
+        <location filename="../hypocycloidgear.py" line="105"/>
+        <location filename="../hypocycloidgear.py" line="130"/>
+        <location filename="../internalinvolutegear.py" line="74"/>
+        <location filename="../involutegear.py" line="101"/>
+        <location filename="../involutegearrack.py" line="46"/>
+        <location filename="../lanterngear.py" line="58"/>
+        <location filename="../timinggear.py" line="124"/>
+        <location filename="../wormgear.py" line="53"/>
+        <source>height</source>
+        <translation>高度</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="57"/>
+        <source>pitch_angle</source>
+        <translation type="unfinished">pitch_angle</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="63"/>
+        <source>pressure_angle</source>
+        <translation type="unfinished">pressure_angle</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="69"/>
+        <location filename="../crowngear.py" line="56"/>
+        <location filename="../cycloidgear.py" line="53"/>
+        <location filename="../involutegearrack.py" line="52"/>
+        <location filename="../lanterngear.py" line="46"/>
+        <location filename="../wormgear.py" line="47"/>
+        <source>module</source>
+        <translation>模組</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="75"/>
+        <location filename="../cycloidgear.py" line="136"/>
+        <location filename="../internalinvolutegear.py" line="225"/>
+        <location filename="../involutegear.py" line="231"/>
+        <source>clearance</source>
+        <translation type="unfinished">clearance</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="81"/>
+        <location filename="../cycloidgear.py" line="65"/>
+        <location filename="../cycloidgearrack.py" line="70"/>
+        <location filename="../internalinvolutegear.py" line="86"/>
+        <location filename="../involutegear.py" line="253"/>
+        <source>number of points for spline</source>
+        <translation type="unfinished">number of points for spline</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="90"/>
+        <source>if value is true the gears outer face will match the z=0 plane</source>
+        <translation type="unfinished">if value is true the gears outer face will match the z=0 plane</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="99"/>
+        <location filename="../cycloidgear.py" line="145"/>
+        <location filename="../internalinvolutegear.py" line="204"/>
+        <location filename="../involutegear.py" line="219"/>
+        <location filename="../timinggear_t.py" line="69"/>
+        <source>The arc length on the pitch circle by which the tooth thicknes is reduced.</source>
+        <translation type="unfinished">The arc length on the pitch circle by which the tooth thicknes is reduced.</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="105"/>
+        <location filename="../cycloidgearrack.py" line="76"/>
+        <location filename="../internalinvolutegear.py" line="92"/>
+        <location filename="../involutegearrack.py" line="73"/>
+        <source>test</source>
+        <translation>測試</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="111"/>
+        <source>angle used for spiral bevel-gears</source>
+        <translation type="unfinished">angle used for spiral bevel-gears</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="117"/>
+        <location filename="../cycloidgear.py" line="179"/>
+        <location filename="../internalinvolutegear.py" line="144"/>
+        <location filename="../involutegear.py" line="185"/>
+        <source>The pitch diameter.</source>
+        <translation type="unfinished">The pitch diameter.</translation>
+    </message>
+    <message>
+        <location filename="../bevelgear.py" line="132"/>
+        <location filename="../cycloidgear.py" line="194"/>
+        <location filename="../internalinvolutegear.py" line="153"/>
+        <location filename="../involutegear.py" line="195"/>
+        <source>The angle by which this gear can turn without moving the mating gear.</source>
+        <translation type="unfinished">The angle by which this gear can turn without moving the mating gear.</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="79"/>
+        <source>master gear</source>
+        <translation type="unfinished">master gear</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="86"/>
+        <source>slave gear</source>
+        <translation type="unfinished">slave gear</translation>
+    </message>
+    <message>
+        <location filename="../connector.py" line="93"/>
+        <location filename="../connector.py" line="100"/>
+        <source>angle at which second gear is placed</source>
+        <translation type="unfinished">angle at which second gear is placed</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="50"/>
+        <source>number of teeth of other gear</source>
+        <translation type="unfinished">number of teeth of other gear</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="68"/>
+        <location filename="../cycloidgearrack.py" line="54"/>
+        <location filename="../internalinvolutegear.py" line="80"/>
+        <location filename="../involutegearrack.py" line="58"/>
+        <source>thickness</source>
+        <translation>厚度</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="74"/>
+        <location filename="../internalinvolutegear.py" line="239"/>
+        <location filename="../involutegear.py" line="107"/>
+        <location filename="../involutegearrack.py" line="160"/>
+        <location filename="../wormgear.py" line="72"/>
+        <source>pressure angle</source>
+        <translation type="unfinished">pressure angle</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="101"/>
+        <location filename="../lanterngear.py" line="64"/>
+        <source>number of profiles used for loft</source>
+        <translation type="unfinished">number of profiles used for loft</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="107"/>
+        <source>if true no boolean operation is done</source>
+        <translation type="unfinished">if true no boolean operation is done</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="71"/>
+        <source>the python object</source>
+        <translation type="unfinished">the python object</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="102"/>
+        <location filename="../cycloidgearrack.py" line="110"/>
+        <location filename="../internalinvolutegear.py" line="253"/>
+        <location filename="../involutegear.py" line="162"/>
+        <location filename="../involutegearrack.py" line="116"/>
+        <source>double helix</source>
+        <translation type="unfinished">double helix</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="108"/>
+        <location filename="../cycloidgearrack.py" line="104"/>
+        <location filename="../internalinvolutegear.py" line="247"/>
+        <location filename="../involutegear.py" line="156"/>
+        <location filename="../involutegearrack.py" line="110"/>
+        <location filename="../wormgear.py" line="65"/>
+        <source>beta</source>
+        <translation type="unfinished">beta</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="119"/>
+        <location filename="../cycloidgearrack.py" line="175"/>
+        <location filename="../internalinvolutegear.py" line="184"/>
+        <location filename="../involutegear.py" line="130"/>
+        <location filename="../involutegearrack.py" line="171"/>
+        <location filename="../timinggear_t.py" line="78"/>
+        <source>a fillet for the tooth-head, radius = head_fillet x module</source>
+        <translation type="unfinished">a fillet for the tooth-head, radius = head_fillet x module</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="128"/>
+        <location filename="../cycloidgearrack.py" line="184"/>
+        <location filename="../internalinvolutegear.py" line="193"/>
+        <location filename="../involutegear.py" line="139"/>
+        <location filename="../involutegearrack.py" line="180"/>
+        <location filename="../timinggear_t.py" line="87"/>
+        <source>a fillet for the tooth-root, radius = root_fillet x module</source>
+        <translation type="unfinished">a fillet for the tooth-root, radius = root_fillet x module</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="153"/>
+        <location filename="../internalinvolutegear.py" line="219"/>
+        <location filename="../involutegear.py" line="239"/>
+        <source>head_value * module_value = additional length of head</source>
+        <translation type="unfinished">head_value * module_value = additional length of head</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="163"/>
+        <location filename="../cycloidgearrack.py" line="156"/>
+        <source>inner_diameter divided by module (hypocycloid)</source>
+        <translation type="unfinished">inner_diameter divided by module (hypocycloid)</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgear.py" line="171"/>
+        <location filename="../cycloidgearrack.py" line="164"/>
+        <source>outer_diameter divided by module (epicycloid)</source>
+        <translation type="unfinished">outer_diameter divided by module (epicycloid)</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="64"/>
+        <location filename="../involutegearrack.py" line="67"/>
+        <source>if enabled the rack is drawn with a constant number of teeth to avoid topologic renaming.</source>
+        <translation type="unfinished">if enabled the rack is drawn with a constant number of teeth to avoid topologic renaming.</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="118"/>
+        <location filename="../involutegearrack.py" line="124"/>
+        <source>pitch in the transverse plane</source>
+        <translation type="unfinished">pitch in the transverse plane</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="128"/>
+        <location filename="../involutegearrack.py" line="134"/>
+        <source>if enabled the total length of the rack is teeth x pitch, otherwise the rack starts with a tooth-flank</source>
+        <translation type="unfinished">if enabled the total length of the rack is teeth x pitch, otherwise the rack starts with a tooth-flank</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="138"/>
+        <location filename="../involutegearrack.py" line="144"/>
+        <location filename="../lanterngear.py" line="72"/>
+        <location filename="../wormgear.py" line="86"/>
+        <source>head * module = additional length of head</source>
+        <translation type="unfinished">head * module = additional length of head</translation>
+    </message>
+    <message>
+        <location filename="../cycloidgearrack.py" line="146"/>
+        <location filename="../involutegearrack.py" line="152"/>
+        <location filename="../wormgear.py" line="94"/>
+        <source>clearance * module = additional length of root</source>
+        <translation type="unfinished">clearance * module = additional length of root</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="48"/>
+        <source>Pin ball circle radius (overrides Tooth Pitch)</source>
+        <translation type="unfinished">Pin ball circle radius (overrides Tooth Pitch)</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="54"/>
+        <source>Roller Diameter</source>
+        <translation type="unfinished">Roller Diameter</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="60"/>
+        <source>Eccentricity</source>
+        <translation type="unfinished">Eccentricity</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="66"/>
+        <source>Pressure angle limit</source>
+        <translation type="unfinished">Pressure angle limit</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="72"/>
+        <source>Offset in pressure angle</source>
+        <translation type="unfinished">Offset in pressure angle</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="78"/>
+        <source>Number of teeth in Cam</source>
+        <translation type="unfinished">Number of teeth in Cam</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="86"/>
+        <source>Number of points used for spline interpolation</source>
+        <translation type="unfinished">Number of points used for spline interpolation</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="92"/>
+        <source>Center hole&apos;s radius</source>
+        <translation type="unfinished">Center hole&apos;s radius</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="99"/>
+        <source>Create pins in place</source>
+        <translation type="unfinished">Create pins in place</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="111"/>
+        <source>Center pin Z axis to generated disks</source>
+        <translation type="unfinished">Center pin Z axis to generated disks</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="118"/>
+        <source>Show main cam disk</source>
+        <translation type="unfinished">Show main cam disk</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="124"/>
+        <source>Show another reversed cam disk on top</source>
+        <translation type="unfinished">Show another reversed cam disk on top</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="53"/>
+        <location filename="../involutegear.py" line="247"/>
+        <source>simple</source>
+        <translation>簡單</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="68"/>
+        <location filename="../involutegear.py" line="95"/>
+        <source>normal module if properties_from_tool=True, else it&apos;s the transverse module.</source>
+        <translation type="unfinished">normal module if properties_from_tool=True, else it&apos;s the transverse module.</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="128"/>
+        <source>inside diameter</source>
+        <translation>內徑</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="135"/>
+        <location filename="../involutegear.py" line="177"/>
+        <source>root diameter</source>
+        <translation type="unfinished">root diameter</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="165"/>
+        <location filename="../involutegear.py" line="207"/>
+        <source>transverse_pitch</source>
+        <translation type="unfinished">transverse_pitch</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="172"/>
+        <source>Outside diameter</source>
+        <translation type="unfinished">Outside diameter</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="210"/>
+        <location filename="../involutegear.py" line="225"/>
+        <source>backlash direction</source>
+        <translation type="unfinished">backlash direction</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="233"/>
+        <location filename="../involutegear.py" line="113"/>
+        <source>shift</source>
+        <translation type="unfinished">shift</translation>
+    </message>
+    <message>
+        <location filename="../internalinvolutegear.py" line="262"/>
+        <location filename="../involutegear.py" line="150"/>
+        <location filename="../involutegearrack.py" line="104"/>
+        <source>if beta is given and properties_from_tool is enabled, gear parameters are internally recomputed for the rotated gear</source>
+        <translation type="unfinished">if beta is given and properties_from_tool is enabled, gear parameters are internally recomputed for the rotated gear</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="49"/>
+        <source>python gear object</source>
+        <translation type="unfinished">python gear object</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="121"/>
+        <source>undercut</source>
+        <translation type="unfinished">undercut</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="170"/>
+        <source>outside diameter</source>
+        <translation type="unfinished">outside diameter</translation>
+    </message>
+    <message>
+        <location filename="../involutegear.py" line="261"/>
+        <source>traverse module of the generated gear</source>
+        <translation type="unfinished">traverse module of the generated gear</translation>
+    </message>
+    <message>
+        <location filename="../lanterngear.py" line="52"/>
+        <source>the bolt radius of the rack/chain</source>
+        <translation type="unfinished">the bolt radius of the rack/chain</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="118"/>
+        <source>type of timing-gear</source>
+        <translation type="unfinished">type of timing-gear</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="130"/>
+        <location filename="../timinggear_t.py" line="40"/>
+        <source>pitch of gear</source>
+        <translation type="unfinished">pitch of gear</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="137"/>
+        <source>radial height of teeth</source>
+        <translation type="unfinished">radial height of teeth</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="147"/>
+        <source>radial difference between pitch diameter and head of gear</source>
+        <translation type="unfinished">radial difference between pitch diameter and head of gear</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="154"/>
+        <source>radius of first arc</source>
+        <translation type="unfinished">radius of first arc</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="161"/>
+        <source>radius of second arc</source>
+        <translation type="unfinished">radius of second arc</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="168"/>
+        <source>radius of third arc</source>
+        <translation type="unfinished">radius of third arc</translation>
+    </message>
+    <message>
+        <location filename="../timinggear.py" line="175"/>
+        <source>x-offset of second arc-midpoint</source>
+        <translation type="unfinished">x-offset of second arc-midpoint</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="52"/>
+        <source>radial height of tooth</source>
+        <translation type="unfinished">radial height of tooth</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="60"/>
+        <source>radial distance from tooth-head to pitch circle</source>
+        <translation type="unfinished">radial distance from tooth-head to pitch circle</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="93"/>
+        <source>angle of tooth flanks</source>
+        <translation type="unfinished">angle of tooth flanks</translation>
+    </message>
+    <message>
+        <location filename="../timinggear_t.py" line="99"/>
+        <source>extrusion height</source>
+        <translation type="unfinished">extrusion height</translation>
+    </message>
+    <message>
+        <location filename="../wormgear.py" line="59"/>
+        <source>diameter</source>
+        <translation type="unfinished">diameter</translation>
+    </message>
+    <message>
+        <location filename="../wormgear.py" line="78"/>
+        <source>reverse rotation of helix</source>
+        <translation type="unfinished">reverse rotation of helix</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_BevelGear</name>
+    <message>
+        <location filename="../commands.py" line="159"/>
+        <source>Bevel Gear</source>
+        <translation type="unfinished">Bevel Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="162"/>
+        <source>Create a Bevel gear</source>
+        <translation type="unfinished">Create a Bevel gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CrownGear</name>
+    <message>
+        <location filename="../commands.py" line="143"/>
+        <source>Crown Gear</source>
+        <translation type="unfinished">Crown Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="146"/>
+        <source>Create a Crown gear</source>
+        <translation type="unfinished">Create a Crown gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CycloidGear</name>
+    <message>
+        <location filename="../commands.py" line="151"/>
+        <source>Cycloid Gear</source>
+        <translation type="unfinished">Cycloid Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="154"/>
+        <source>Create a Cycloid gear</source>
+        <translation type="unfinished">Create a Cycloid gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_CycloidRack</name>
+    <message>
+        <location filename="../commands.py" line="135"/>
+        <source>Cycloid Rack</source>
+        <translation type="unfinished">Cycloid Rack</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="138"/>
+        <source>Create an Cycloid rack</source>
+        <translation type="unfinished">Create an Cycloid rack</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_GearConnector</name>
+    <message>
+        <location filename="../commands.py" line="209"/>
+        <location filename="../commands.py" line="211"/>
+        <source>Combine two gears</source>
+        <translation type="unfinished">Combine two gears</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_HypoCycloidGear</name>
+    <message>
+        <location filename="../commands.py" line="167"/>
+        <source>HypoCycloid Gear</source>
+        <translation type="unfinished">HypoCycloid Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="172"/>
+        <source>Create a HypoCycloid gear with its pins</source>
+        <translation type="unfinished">Create a HypoCycloid gear with its pins</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InternalInvoluteGear</name>
+    <message>
+        <location filename="../commands.py" line="117"/>
+        <source>Internal Involute Gear</source>
+        <translation type="unfinished">Internal Involute Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="122"/>
+        <source>Create an internal involute gear</source>
+        <translation type="unfinished">Create an internal involute gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InvoluteGear</name>
+    <message>
+        <location filename="../commands.py" line="105"/>
+        <source>Involute Gear</source>
+        <translation type="unfinished">Involute Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="110"/>
+        <source>Create an external involute gear</source>
+        <translation type="unfinished">Create an external involute gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_InvoluteRack</name>
+    <message>
+        <location filename="../commands.py" line="127"/>
+        <source>Involute Rack</source>
+        <translation type="unfinished">Involute Rack</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="130"/>
+        <source>Create an Involute rack</source>
+        <translation type="unfinished">Create an Involute rack</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_LanternGear</name>
+    <message>
+        <location filename="../commands.py" line="201"/>
+        <source>Lantern Gear</source>
+        <translation type="unfinished">Lantern Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="204"/>
+        <source>Create a Lantern gear</source>
+        <translation type="unfinished">Create a Lantern gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_TimingGear</name>
+    <message>
+        <location filename="../commands.py" line="193"/>
+        <source>Timing Gear</source>
+        <translation type="unfinished">Timing Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="196"/>
+        <source>Create a Timing gear</source>
+        <translation type="unfinished">Create a Timing gear</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_TimingGearT</name>
+    <message>
+        <location filename="../commands.py" line="185"/>
+        <source>Timing Gear T-shape</source>
+        <translation type="unfinished">Timing Gear T-shape</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="188"/>
+        <source>Create a Timing gear T-shape</source>
+        <translation type="unfinished">Create a Timing gear T-shape</translation>
+    </message>
+</context>
+<context>
+    <name>FCGear_WormGear</name>
+    <message>
+        <location filename="../commands.py" line="177"/>
+        <source>Worm Gear</source>
+        <translation type="unfinished">Worm Gear</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="180"/>
+        <source>Create a Worm gear</source>
+        <translation type="unfinished">Create a Worm gear</translation>
+    </message>
+</context>
+<context>
+    <name>Log</name>
+    <message>
+        <location filename="../commands.py" line="218"/>
+        <source>Please select two gear objects.</source>
+        <translation type="unfinished">Please select two gear objects.</translation>
+    </message>
+    <message>
+        <location filename="../commands.py" line="224"/>
+        <source>Selected object is not a gear.</source>
+        <translation type="unfinished">Selected object is not a gear.</translation>
+    </message>
+    <message>
+        <location filename="../crowngear.py" line="94"/>
+        <source>Gear module: Crown gear created, preview_mode = true for improved performance. Set preview_mode property to false when ready to cut teeth.</source>
+        <translation type="unfinished">Gear module: Crown gear created, preview_mode = true for improved performance. Set preview_mode property to false when ready to cut teeth.</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="227"/>
+        <source>Generating cam disk
+</source>
+        <translation type="unfinished">Generating cam disk
+</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="269"/>
+        <source>Generating secondary cam disk
+</source>
+        <translation type="unfinished">Generating secondary cam disk
+</translation>
+    </message>
+    <message>
+        <location filename="../hypocycloidgear.py" line="287"/>
+        <source>Generating pins
+</source>
+        <translation type="unfinished">Generating pins
+</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="39"/>
+        <source>Checking FreeCAD version
+</source>
+        <translation type="unfinished">Checking FreeCAD version
+</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="73"/>
+        <source>FreeCAD version (currently {}.{}.{} ({})) must be at least {}.{}.{} ({}) in order to work with Python 3.11 and above
+</source>
+        <translation type="unfinished">FreeCAD version (currently {}.{}.{} ({})) must be at least {}.{}.{} ({}) in order to work with Python 3.11 and above
+</translation>
+    </message>
+    <message>
+        <location filename="../basegear.py" line="137"/>
+        <source>Migrating &apos;teeth&apos; property to &apos;num_teeth&apos; on {} part
+</source>
+        <translation type="unfinished">Migrating &apos;teeth&apos; property to &apos;num_teeth&apos; on {} part
+</translation>
+    </message>
+</context>
+<context>
+    <name>Workbench</name>
+    <message>
+        <location filename="../init_gui.py" line="90"/>
+        <location filename="../init_gui.py" line="129"/>
+        <location filename="../init_gui.py" line="130"/>
+        <source>Gear</source>
+        <translation type="unfinished">Gear</translation>
+    </message>
+    <message>
+        <location filename="../init_gui.py" line="91"/>
+        <source>Gear Workbench</source>
+        <translation type="unfinished">Gear Workbench</translation>
+    </message>
+</context>
+</TS>

freecad/gears/translations/README.md

@@ -0,0 +1,116 @@
+# About translating Gear Workbench
+
+<!--toc:start-->
+- [About translating Gear Workbench](#about-translating-gear-workbench)
+  - [Updating translations template file](#updating-translations-template-file)
+  - [Creating file for missing locale](#creating-file-for-missing-locale)
+    - [Using script](#using-script)
+    - [Renaming file](#renaming-file)
+  - [Translating](#translating)
+  - [Compiling translations](#compiling-translations)
+  - [Sending translations](#sending-translations)
+  - [More information](#more-information)
+<!--toc:end-->
+
+> [!NOTE]
+> All commands **must** be run in `./freecad/gears/translations/` directory.
+
+> [!IMPORTANT]
+> If you want to update/release the files you need to have installed
+> `lupdate` and `lrelease` from Qt6 version. Using the versions from
+> Qt5 is not advised because they're buggy.
+
+## Updating translations template file
+
+To update the template file from source files you should use this command:
+
+```shell
+./update_translation.sh -U
+```
+
+Once done you can commit the changes and upload the new file to CrowdIn platform
+at <https://crowdin.com/project/freecad-addons> webpage and find the **Gear** project.
+
+## Creating file for missing locale
+
+### Using script
+
+To create a file for a new language with all **Gear** translatable strings execute
+the script with `-u` flag plus your locale:
+
+```shell
+./update_translation.sh -u de
+```
+
+### Renaming file
+
+Also you can rename new `Gear.ts` file by appending the locale code,
+for example, `Gear_de.ts` for German and change
+
+```xml
+<TS version="2.1">
+```
+
+to
+
+```xml
+<TS version="2.1" language="de" sourcelanguage="en">
+```
+
+As of 13/09/2024 the supported locales on FreeCAD
+(according to `FreeCADGui.supportedLocales()`) are 43:
+
+```python
+{'English': 'en', 'Afrikaans': 'af', 'Arabic': 'ar', 'Basque': 'eu',
+'Belarusian': 'be', 'Bulgarian': 'bg', 'Catalan': 'ca',
+'Chinese Simplified': 'zh-CN', 'Chinese Traditional': 'zh-TW', 'Croatian': 'hr',
+'Czech': 'cs', 'Dutch': 'nl', 'Filipino': 'fil', 'Finnish': 'fi', 'French': 'fr',
+'Galician': 'gl', 'Georgian': 'ka', 'German': 'de', 'Greek': 'el', 'Hungarian': 'hu',
+'Indonesian': 'id', 'Italian': 'it', 'Japanese': 'ja', 'Kabyle': 'kab',
+'Korean': 'ko', 'Lithuanian': 'lt', 'Norwegian': 'no', 'Polish': 'pl',
+'Portuguese': 'pt-PT', 'Portuguese, Brazilian': 'pt-BR', 'Romanian': 'ro',
+'Russian': 'ru', 'Serbian': 'sr', 'Serbian, Latin': 'sr-CS', 'Slovak': 'sk',
+'Slovenian': 'sl', 'Spanish': 'es-ES', 'Spanish, Argentina': 'es-AR',
+'Swedish': 'sv-SE', 'Turkish': 'tr', 'Ukrainian': 'uk', 'Valencian': 'val-ES',
+'Vietnamese': 'vi'}
+```
+
+## Translating
+
+To edit your language file open your file in `Qt Linguist` from `qt5-tools`/`qt6-tools`
+package or in a text editor like `xed`, `mousepad`, `gedit`, `nano`, `vim`/`nvim`,
+`geany` etc. and translate it.
+
+Alternatively you can visit the **FreeCAD-addons** project on CrowdIn platform
+at <https://crowdin.com/project/freecad-addons> webpage and find your language,
+once done, look for the **Gear** project.
+
+## Compiling translations
+
+To convert all `.ts` files to `.qm` files (merge) you can use this command:
+
+```shell
+./update_translation.sh -R
+```
+
+If you are a translator that wants to update only their language file
+to test it on **FreeCAD** before doing a PR you can use this command:
+
+```shell
+./update_translation.sh -r de
+```
+
+This will update the `.qm` file for your language (German in this case).
+
+## Sending translations
+
+Now you can contribute your translated `.ts` file to **Gear** repository,
+also include the `.qm` file.
+
+<https://github.com/looooo/freecad.gears>
+
+## More information
+
+You can read more about translating external workbenches here:
+
+<https://wiki.freecad.org/Translating_an_external_workbench>

freecad/gears/translations/update_translation.sh

@@ -0,0 +1,166 @@
+#!/usr/bin/env bash
+
+# --------------------------------------------------------------------------------------------------
+#
+# Create, update and release translation files.
+#
+# Supported locales on FreeCAD <2024-11-30, FreeCADGui.supportedLocales(), total=44>:
+# 	{'English': 'en', 'Afrikaans': 'af', 'Arabic': 'ar', 'Basque': 'eu', 'Belarusian': 'be',
+# 	'Bulgarian': 'bg', 'Catalan': 'ca', 'Chinese Simplified': 'zh-CN',
+# 	'Chinese Traditional': 'zh-TW', 'Croatian': 'hr', 'Czech': 'cs', 'Danish': 'da',
+# 	 'Dutch': 'nl', 'Filipino': 'fil', 'Finnish': 'fi', 'French': 'fr', 'Galician': 'gl',
+# 	'Georgian': 'ka', 'German': 'de', 'Greek': 'el', 'Hungarian': 'hu', 'Indonesian': 'id',
+# 	'Italian': 'it', 'Japanese': 'ja', 'Kabyle': 'kab', 'Korean': 'ko', 'Lithuanian': 'lt',
+# 	'Norwegian': 'no', 'Polish': 'pl', 'Portuguese': 'pt-PT', 'Portuguese, Brazilian': 'pt-BR',
+# 	'Romanian': 'ro', 'Russian': 'ru', 'Serbian': 'sr', 'Serbian, Latin': 'sr-CS', 'Slovak': 'sk',
+# 	'Slovenian': 'sl', 'Spanish': 'es-ES', 'Spanish, Argentina': 'es-AR', 'Swedish': 'sv-SE',
+# 	'Turkish': 'tr', 'Ukrainian': 'uk', 'Valencian': 'val-ES', 'Vietnamese': 'vi'}
+#
+# NOTE: PREPARATION
+# - Install Qt tools
+# 	Debian-based (e.g., Ubuntu): $ sudo apt-get install qttools5-dev-tools pyqt6-dev-tools
+# 	Fedora-based: $ sudo dnf install qt6-linguist qt6-devel
+# 	Arch-based: $ sudo pacman -S qt6-tools python-pyqt6
+# - Make the script executable
+# 	$ chmod +x update_translation.sh
+# - The script has to be executed within the `freecad/gears/translations` directory.
+# 	Executing the script with no flags invokes the help.
+# 	$ ./update_translation.sh
+#
+# NOTE: WORKFLOW TRANSLATOR (LOCAL)
+# - Execute the script passing the `-u` flag plus locale code as argument
+# 	Only update the file(s) you're translating!
+# 	$ ./update_translation.sh -u es-ES
+# - Do the translation via Qt Linguist and use `File>Release`
+# - If releasing with the script execute it passing the `-r` flag
+# 	plus locale code as argument
+# 	$ ./update_translation.sh -r es-ES
+#
+# NOTE: WORKFLOW MAINTAINER (CROWDIN)
+# - Execute the script passing the '-U' flag
+# 	$ ./update_translation.sh -U
+# - Upload the updated file to Crowdin and wait for translators do their thing ;-)
+# - Once done, download the translated files, copy them to `freecad/gears/translations`
+# 	and release all the files to update the changes
+# 	$ ./update_translation.sh -R
+#
+# --------------------------------------------------------------------------------------------------
+
+supported_locales=(
+	"en" "af" "ar" "eu" "be" "bg" "ca" "zh-CN" "zh-TW" "hr"
+	"cs" "da" "nl" "fil" "fi" "fr" "gl" "ka" "de" "el"
+	"hu" "id" "it" "ja" "kab" "ko" "lt" "no" "pl" "pt-PT"
+	"pt-BR" "ro" "ru" "sr" "sr-CS" "sk" "sl" "es-ES" "es-AR" "sv-SE"
+	"tr" "uk" "val-ES" "vi"
+)
+
+is_locale_supported() {
+	local locale="$1"
+	for supported_locale in "${supported_locales[@]}"; do
+		[ "$supported_locale" == "$locale" ] && return 0
+	done
+	return 1
+}
+
+update_locale() {
+	local locale="$1"
+	local u=${locale:+_} # Conditional underscore
+
+	# NOTE: Execute the right command depending on:
+	# - if it's a locale file or the main, agnostic one
+	[ ! -f "${WB}${u}${locale}.ts" ] && action="Creating" || action="Updating"
+	echo -e "\033[1;34m\n\t<<< ${action} '${WB}${u}${locale}.ts' file >>>\n\033[m"
+	if [ "$u" == "" ]; then
+		$LUPDATE ../*.py -ts "${WB}.ts" # locale-agnostic file
+	else
+		$LUPDATE ../*.py -source-language en_US -target-language "${locale//-/_}" \
+			-ts "${WB}_${locale}.ts"
+	fi
+}
+
+normalize_crowdin_files() {
+	# Rename files which locales are different on FreeCAD and delete not supported locales
+	crowdin_fixes=(af-ZA ar-SA be-BY bg-BG ca-ES cs-CZ da-DK de-DE el-GR eu-ES fi-FI
+		fil-PH fr-FR gl-ES hr-HR hu-HU it-IT ja-JP ka-GE kab-KAB ko-KR lt-LT nl-NL
+		no-NO pl-PL ro-RO ru-RU sk-SK sl-SI sr-SP tr-TR uk-UA vi-VN)
+
+	crowdin_deletes=(az-AZ bn-BD br-FR bs-BA en en-GB en-US eo-UY es-CO es-VE et-EE fa-IR he-IL
+		hi-IN hy-AM id-ID kaa lv-LV mk-MK ms-MY sat-IN si-LK ta-IN te-IN th-TH ur-PK xav yo-NG)
+
+	for pattern in "${crowdin_fixes[@]}"; do
+		find . -type f -name "*_${pattern}\.*" | while read -r file; do
+			new_name=${file//-*./.}
+			mv -v "$file" "$new_name"
+		done
+	done
+
+	for pattern in "${crowdin_deletes[@]}"; do
+		find . -type f -name "*_${pattern}\.*" -delete
+	done
+}
+
+help() {
+	echo -e "\nDescription:"
+	echo -e "\tCreate, update and release translation files."
+	echo -e "\nUsage:"
+	echo -e "\t./update_translation.sh [-R] [-U] [-r <locale>] [-u <locale>]"
+	echo -e "\nFlags:"
+	echo -e "  -R\n\tRelease all translations (qm files)"
+	echo -e "  -U\n\tUpdate all translations (ts files)"
+	echo -e "  -r <locale>\n\tRelease the specified locale"
+	echo -e "  -u <locale>\n\tUpdate strings for the specified locale"
+	echo -e "  -N\n\tNormalize CrowdIn filenames"
+}
+
+# Main function ------------------------------------------------------------------------------------
+
+LUPDATE=/usr/lib/qt6/bin/lupdate # from Qt6
+# LUPDATE=lupdate                  # from Qt5
+LRELEASE=/usr/lib/qt6/bin/lrelease # from Qt6
+# LRELEASE=lrelease                 # from Qt5
+WB="Gear"
+
+sed -i '3s/-/_/' ${WB}*.ts               # Enforce underscore on locales
+sed -i '3s/\"en\"/\"en_US\"/g' ${WB}*.ts # Use en_US
+
+if [ $# -eq 1 ]; then
+	if [ "$1" == "-R" ]; then
+		find . -type f -name '*_*.ts' | while IFS= read -r file; do
+			# Release all locales
+			$LRELEASE -nounfinished "$file"
+			echo
+		done
+	elif [ "$1" == "-U" ]; then
+		for locale in "${supported_locales[@]}"; do
+			update_locale "$locale"
+		done
+	elif [ "$1" == "-u" ]; then
+		update_locale # Update main file (agnostic)
+	elif [ "$1" == "-N" ]; then
+		normalize_crowdin_files
+	else
+		help
+	fi
+elif [ $# -eq 2 ]; then
+	LOCALE="$2"
+	if is_locale_supported "$LOCALE"; then
+		if [ "$1" == "-r" ]; then
+			# Release locale (creation of *.qm file from *.ts file)
+			$LRELEASE -nounfinished "${WB}_${LOCALE}.ts"
+		elif [ "$1" == "-u" ]; then
+			# Update main & locale files
+			update_locale
+			update_locale "$LOCALE"
+		fi
+	else
+		echo "Verify your language code. Case sensitive."
+		echo "If it's correct, ask a maintainer to add support for your language on FreeCAD."
+		echo -e "\nSupported locales, '\033[1;34mFreeCADGui.supportedLocales()\033[m': \033[1;33m"
+		for locale in $(printf "%s\n" "${supported_locales[@]}" | sort); do
+			echo -n "$locale "
+		done
+		echo
+	fi
+else
+	help
+fi

freecad/gears/wormgear.py

@@ -0,0 +1,189 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * This program is distributed in the hope that it will be useful,         *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+# * GNU General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+import numpy as np
+
+from freecad import app
+from freecad import part
+
+from pygears.involute_tooth import InvoluteTooth
+from pygears._functions import rotation
+
+from .basegear import BaseGear, helical_extrusion, fcvec
+
+QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
+
+
+class WormGear(BaseGear):
+    """FreeCAD gear rack"""
+
+    def __init__(self, obj):
+        super(WormGear, self).__init__(obj)
+        obj.addProperty(
+            "App::PropertyIntegerConstraint",
+            "num_teeth",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "number of teeth"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "module",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "module"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "height",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "height"),
+        )
+        obj.addProperty(
+            "App::PropertyLength",
+            "diameter",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "diameter"),
+        )
+        obj.addProperty(
+            "App::PropertyAngle",
+            "beta",
+            "computed",
+            QT_TRANSLATE_NOOP("App::Property", "beta"),
+            1,
+        )
+        obj.addProperty(
+            "App::PropertyAngle",
+            "pressure_angle",
+            "involute",
+            QT_TRANSLATE_NOOP("App::Property", "pressure angle"),
+        )
+        obj.addProperty(
+            "App::PropertyBool",
+            "reverse_pitch",
+            "base",
+            QT_TRANSLATE_NOOP("App::Property", "reverse rotation of helix"),
+        )
+        obj.addProperty(
+            "App::PropertyFloat",
+            "head",
+            "tolerance",
+            QT_TRANSLATE_NOOP(
+                "App::Property", "head * module = additional length of head"
+            ),
+        )
+        obj.addProperty(
+            "App::PropertyFloat",
+            "clearance",
+            "tolerance",
+            QT_TRANSLATE_NOOP(
+                "App::Property", "clearance * module = additional length of root"
+            ),
+        )
+        obj.num_teeth = (3, 1, 10, 1)  # default, min, max, step
+        obj.module = "1. mm"
+        obj.pressure_angle = "20. deg"
+        obj.height = "5. mm"
+        obj.diameter = "5. mm"
+        obj.clearance = 0.25
+        obj.head = 0
+        obj.reverse_pitch = False
+
+        self.obj = obj
+        obj.Proxy = self
+
+    def generate_gear_shape(self, fp):
+        m = fp.module.Value
+        d = fp.diameter.Value
+        t = fp.num_teeth
+        h = fp.height
+
+        clearance = fp.clearance
+        head = fp.head
+        alpha = fp.pressure_angle.Value
+        beta = np.arctan(m * t / d)
+        fp.beta = np.rad2deg(beta)
+        beta = -(fp.reverse_pitch * 2 - 1) * (np.pi / 2 - beta)
+
+        r_1 = (d - (2 + 2 * clearance) * m) / 2
+        r_2 = (d + (2 + 2 * head) * m) / 2
+        z_a = (2 + head + clearance) * m * np.tan(np.deg2rad(alpha))
+        z_b = (m * np.pi - 4 * m * np.tan(np.deg2rad(alpha))) / 2
+        z_0 = clearance * m * np.tan(np.deg2rad(alpha))
+        z_1 = z_b - z_0
+        z_2 = z_1 + z_a
+        z_3 = z_2 + z_b - 2 * head * m * np.tan(np.deg2rad(alpha))
+        z_4 = z_3 + z_a
+
+        def helical_projection(r, z):
+            phi = 2 * z / m / t
+            x = r * np.cos(phi)
+            y = r * np.sin(phi)
+            z = 0 * y
+            return np.array([x, y, z]).T
+
+        # create a circle from phi=0 to phi_1 with r_1
+        phi_0 = 2 * z_0 / m / t
+        phi_1 = 2 * z_1 / m / t
+        c1 = part.makeCircle(
+            r_1,
+            app.Vector(0, 0, 0),
+            app.Vector(0, 0, 1),
+            np.rad2deg(phi_0),
+            np.rad2deg(phi_1),
+        )
+
+        # create first bspline
+        z_values = np.linspace(z_1, z_2, 10)
+        r_values = np.linspace(r_1, r_2, 10)
+        points = helical_projection(r_values, z_values)
+        bsp1 = part.BSplineCurve()
+        bsp1.interpolate(list(map(fcvec, points)))
+        bsp1 = bsp1.toShape()
+
+        # create circle from phi_2 to phi_3
+        phi_2 = 2 * z_2 / m / t
+        phi_3 = 2 * z_3 / m / t
+        c2 = part.makeCircle(
+            r_2,
+            app.Vector(0, 0, 0),
+            app.Vector(0, 0, 1),
+            np.rad2deg(phi_2),
+            np.rad2deg(phi_3),
+        )
+
+        # create second bspline
+        z_values = np.linspace(z_3, z_4, 10)
+        r_values = np.linspace(r_2, r_1, 10)
+        points = helical_projection(r_values, z_values)
+        bsp2 = part.BSplineCurve()
+        bsp2.interpolate(list(map(fcvec, points)))
+        bsp2 = bsp2.toShape()
+
+        wire = part.Wire([c1, bsp1, c2, bsp2])
+        w_all = [wire]
+
+        rot = app.Matrix()
+        rot.rotateZ(2 * np.pi / t)
+        for i in range(1, t):
+            w_all.append(w_all[-1].transformGeometry(rot))
+
+        full_wire = part.Wire(w_all)
+        if h == 0:
+            return full_wire
+        else:
+            shape = helical_extrusion(part.Face(full_wire), h, h * np.tan(beta) * 2 / d)
+            return shape

freecad/part.py

@@ -0,0 +1,3 @@
+# this should be part of FreeCAD itself, remove this file once
+# relevant PR is merged
+from Part import *