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

@@ -1,23 +1,28 @@
 name: Pylint
 
-on: [push]
+on:
+  push:
+  pull_request:
+  workflow_dispatch:
 
 jobs:
   build:    
-    runs-on: ubuntu-latest
     strategy:
+      fail-fast: false
       matrix:
-        python-version: ["3.8", "3.9", "3.10"]
+        os: [macOs-latest, ubuntu-latest, windows-latest]
+    runs-on: ${{ matrix.os }}
     steps:
-    - uses: actions/checkout@v3
-    - name: Set up Python ${{ matrix.python-version }}
-      uses: actions/setup-python@v3
+    - uses: actions/checkout@v4
+    - uses: prefix-dev/setup-pixi@v0.9.4
       with:
-        python-version: ${{ matrix.python-version }}
-    - name: Install dependencies
-      run: |
-        python -m pip install --upgrade pip
-        pip install pylint
-    - name: Analysing the code with pylint
-      run: |
-        pylint $(git ls-files '*.py')
+        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
@@ -59,3 +65,7 @@ target/
 .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>

README.md

@@ -1,83 +1,81 @@
-## A Gear module for FreeCAD
-[![Liberapay](http://img.shields.io/liberapay/patrons/looooo.svg?logo=liberapay)](https://liberapay.com/looooo/donate) 
+# FreeCAD Gears
+
+A gear workbench for FreeCAD: create involute, cycloid, bevel, worm, timing, lantern and crown gears with full control over parameters.
 
 ## Requirements
-FreeCAD > v0.16  
-__python > 3 (for python2 use branch py2)__
 
+- **FreeCAD** ≥ 1.0 (or ≥ 0.16 for older setups)
+- **Python** ≥ 3.8 (used by FreeCAD)
+- **Python packages:** `numpy`, `scipy`, `sympy` (optional: `jupyter`, `matplotlib`)
 
-## Supported gear-types
+## Supported gear types
 
-### Cylindric Involute
-* Shifting
-* Helical
-* Double Helical
-* Undercut  
+### Cylindric involute
+- Shifting, helical, double helical, undercut, fillets
 
-![involute-gear](examples/involute-double-helical-gear.png)
+![involute-gear](examples/images/involute-double-helical-gear.png)
 
+### Involute rack
+![involute-rack](examples/images/involute-rack.png)
 
-### Involute Rack
-![involute-rack](examples/involute-rack.png)
+### Cylindric cycloid
+- Helical, double helical, fillets
 
-### Cylindric Cycloid
-* Helical
-* Double Helical
+![cycloid-gear](examples/images/cycloid-gear.png)
 
-![cycloid-gear](examples/cycloid-gear.png)
+### Cycloid rack
+![cycloid-rack](examples/images/cycloid-rack.png)
 
-### Cycloid Rack
+### Spherical involute bevel gear
+- Spiral
 
-![cycloid-rack](examples/cycloid-rack.png)
+![bevel-gear](examples/images/bevel-gear.png)
 
-### Spherical Involute Bevel-Gear
-* Spiral  
+### Crown gear
+![crown-gear](examples/images/crown-gear.png)
 
-![bevel-gear](examples/bevel-gear.png)
+### Worm gear
+![worm-gear](examples/images/worm-gear.png)
 
-### Crown-Gear
-![crown-gear](examples/crown-gear.png)
+### Timing gear
+![timing-gear](examples/images/timing-gear.png)
 
-### Worm-Gear
-![worm-gear](examples/worm-gear.png)
+### Lantern gear
+![lantern-gear](examples/images/lantern-gear.png)
 
-### Timing-Gear
-![timing-gear](examples/timing-gear.png)
-
-### Lantern-Gear
-![lantern-gear](examples/lantern-gear.png)
-
----------------------------
+---
 
 ## Installation
 
-### Addon Manager  
-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)
-located in the `Tools` > `Addon Manager` dropdown menu.
+### Addon Manager (recommended)
+In FreeCAD: **Tools** → **Addon Manager** → search for “Gears” (or “FCGear”) → Install.
 
 ### 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
-* Open freecad
-* Switch to the gear workbench
-* Create new document
-* 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: 
+### In FreeCAD
+1. Open FreeCAD and switch to the **Gear** workbench.
+2. **File** → **New** (or open a document).
+3. Create a gear from the toolbar and adjust parameters in the property panel.
 
+### 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
@@ -85,17 +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
-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))  
+- Elements of Metric Gear Technology ([PDF](http://qtcgears.com/tools/catalogs/PDF_Q420/Tech.pdf))
+
+### FreeCAD Forum
+- [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
 
-# License
 GNU General Public License v3.0

TODO.md

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

examples/notebooks_and_scripts/animation.py

@@ -11,13 +11,20 @@ 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
         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),
+            300,
+            300,
+            "Current",
+        )
+
 
 def update(*args):
     print("time")
@@ -25,5 +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

@@ -14,68 +14,24 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 1,
    "id": "7eacf041-aa83-49e2-9cbe-066f177197f6",
    "metadata": {},
    "outputs": [],
    "source": [
-    "import sympy as sp\n",
-    "import numpy as np"
+    "import sympy as sym\n",
+    "import numpy as np\n",
+    "from pygears.transformation import symbolic_transformation, numeric_transformation"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
-   "id": "980417d0-c79d-4501-a7cc-9725b3bbea83",
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "def symbolic_transformation(angle, axis, translation=np.array([0., 0., 0.])):\n",
-    "    \"\"\"\n",
-    "        see http://en.wikipedia.org/wiki/SO%284%29#The_Euler.E2.80.93Rodrigues_formula_for_3D_rotations\n",
-    "        sympy enabled transformation\n",
-    "        angle: angle of rotation\n",
-    "        axis: the axis of the rotation\n",
-    "        translation: translation of transformation\n",
-    "    \"\"\"\n",
-    "    assert len(axis) == 3\n",
-    "    a = sp.cos(angle / 2)\n",
-    "    axis_normalized = axis / sp.sqrt(axis.dot(axis))\n",
-    "    (b, c, d) = -axis_normalized * sp.sin(angle / 2)\n",
-    "    mat = sp.Matrix(\n",
-    "        [\n",
-    "            [\n",
-    "                a**2 + b**2 - c**2 - d**2,\n",
-    "                2 * (b * c - a * d),\n",
-    "                2 * (b * d + a * c),\n",
-    "                translation[0],\n",
-    "            ],\n",
-    "            [\n",
-    "                2 * (b * c + a * d),\n",
-    "                a**2 + c**2 - b**2 - d**2,\n",
-    "                2 * (c * d - a * b),\n",
-    "                translation[1],\n",
-    "            ],\n",
-    "            [\n",
-    "                2 * (b * d - a * c),\n",
-    "                2 * (c * d + a * b),\n",
-    "                a**2 + d**2 - b**2 - c**2,\n",
-    "                translation[2],\n",
-    "            ],\n",
-    "            [0.0, 0.0, 0.0, 1.0],\n",
-    "        ]\n",
-    "    )\n",
-    "    return sp.simplify(mat)\n"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 2,
    "id": "5852aa56-e66b-4f3c-a50d-0cb4cb21abd2",
    "metadata": {},
    "outputs": [],
    "source": [
-    "t = sp.Symbol(\"t\")\n",
+    "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",
@@ -86,12 +42,12 @@
     "                             np.array([1., 0., 0.]),\n",
     "                             np.array([0., 0., t]))\n",
     "\n",
-    "T = sp.nsimplify(T2.inv() @ T1.inv() @ T3, tolerance=10e-16)"
+    "T = sym.nsimplify(T2.inv() @ T1.inv() @ T3, tolerance=10e-16)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 3,
    "id": "7c9837b8-caf7-4447-bf0d-eba9085197a5",
    "metadata": {},
    "outputs": [
@@ -104,14 +60,14 @@
        "       [ 0.        ,  0.        ,  0.        ,  0.        ]])"
       ]
      },
-     "execution_count": 8,
+     "execution_count": 3,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "T_fn = sp.lambdify(t, T)\n",
-    "dT_fn = sp.lambdify(t, T.diff(t))\n",
+    "T_fn = sym.lambdify(t, T)\n",
+    "dT_fn = sym.lambdify(t, T.diff(t))\n",
     "dT_fn(0.)"
    ]
   },
@@ -178,11 +134,11 @@
     "5. erstellen einer B-Spline Kurve welche durch die Kinematik T transformiert wird\n",
     "\n",
     "```python\n",
-    "c_1 = Part.BSplineCurve()\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",
+    "part.show(c_1.transformShape(T))\n",
     "```\n",
     "\n",
     "6. Loft anwenden auf die erstellten BSpline Kurven\n",
@@ -196,94 +152,128 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 27,
    "id": "cfd8026b-5a84-4882-a1de-63580776a579",
    "metadata": {},
    "outputs": [],
    "source": [
-    "import sympy as sp\n",
-    "t, x, z = sp.symbols([\"t\", \"x\", \"z\"], real=True)\n",
-    "s, alpha, n_t, y = sp.symbols([\"s\", \"alpha\", \"n_t\", \"y\"], real=True, positiv=True)"
+    "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": 7,
-   "id": "65bb90d7-0f5b-410e-9a3a-0f9953a4d846",
+   "execution_count": 9,
+   "id": "618dd2ae-e8e5-430d-8c8c-8983358334b7",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/latex": [
-       "$\\displaystyle \\left[\\begin{matrix}\\cos{\\left(\\frac{n_{t} t}{\\pi} \\right)} & \\sin{\\left(\\frac{n_{t} t}{\\pi} \\right)} & 0 & 0\\\\- \\sin{\\left(\\frac{n_{t} t}{\\pi} \\right)} & \\cos{\\left(\\frac{n_{t} t}{\\pi} \\right)} & 0 & 0\\\\0 & 0 & 1 & n_{t} t\\\\0 & 0 & 0 & 1.0\\end{matrix}\\right]$"
+       "$\\displaystyle \\left[\\begin{matrix}1 & 0 & 0 & r_{w}\\\\0 & 1 & 0 & 0\\\\0 & 0 & 1 & 0\\\\0.0 & 0.0 & 0.0 & 1.0\\end{matrix}\\right]$"
       ],
       "text/plain": [
        "Matrix([\n",
-       "[ cos(n_t*t/pi), sin(n_t*t/pi), 0,     0],\n",
-       "[-sin(n_t*t/pi), cos(n_t*t/pi), 0,     0],\n",
-       "[             0,             0, 1, n_t*t],\n",
-       "[             0,             0, 0,   1.0]])"
+       "[  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": 7,
+     "execution_count": 9,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "T_spiral = symbolic_transformation(t * n_t / sp.pi, np.array([0, 0, 1]), np.array([0, 0, t * n_t]))\n",
-    "T_spiral"
+    "p0 = symbolic_transformation(0,np.array([0, 0, 1]), [r_w, 0, 0, 1])\n",
+    "p0"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 11,
    "id": "0f305b8b-0fb5-4b71-80b6-9a2b43b59e26",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/latex": [
-       "$\\displaystyle \\left[\\begin{matrix}0\\\\s \\cos{\\left(\\alpha \\right)}\\\\s \\sin{\\left(\\alpha \\right)}\\\\1\\end{matrix}\\right]$"
+       "$\\displaystyle \\left[\\begin{matrix}r_{w} + s \\cos{\\left(\\alpha \\right)}\\\\0\\\\- s \\sin{\\left(\\alpha \\right)}\\\\1.0\\end{matrix}\\right]$"
       ],
       "text/plain": [
        "Matrix([\n",
+       "[r_w + s*cos(alpha)],\n",
        "[                 0],\n",
-       "[s*cos(alpha)],\n",
-       "[s*sin(alpha)],\n",
-       "[           1]])"
+       "[     -s*sin(alpha)],\n",
+       "[               1.0]])"
       ]
      },
-     "execution_count": 22,
+     "execution_count": 11,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "l = sp.Matrix([0, s * sp.cos(alpha), s * sp.sin(alpha), 1])\n",
+    "l = p0 @ sym.Matrix([s * sym.cos(alpha), 0, -s * sym.sin(alpha), 1])\n",
     "l"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "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": [
-       "$\\displaystyle \\left[\\begin{matrix}s \\sin{\\left(\\frac{n_{t} t}{\\pi} \\right)} \\cos{\\left(\\alpha \\right)}\\\\s \\cos{\\left(\\alpha \\right)} \\cos{\\left(\\frac{n_{t} t}{\\pi} \\right)}\\\\n_{t} t + s \\sin{\\left(\\alpha \\right)}\\\\1.0\\end{matrix}\\right]$"
+       "$\\displaystyle \\left[\\begin{matrix}\\left(r_{w} + s \\cos{\\left(\\alpha \\right)}\\right) \\cos{\\left(\\phi \\right)}\\\\- \\left(r_{w} + s \\cos{\\left(\\alpha \\right)}\\right) \\sin{\\left(\\phi \\right)}\\\\1.0 m n_{t} \\phi - s \\sin{\\left(\\alpha \\right)}\\\\1.0\\end{matrix}\\right]$"
       ],
       "text/plain": [
        "Matrix([\n",
-       "[s*sin(n_t*t/pi)*cos(alpha)],\n",
-       "[s*cos(alpha)*cos(n_t*t/pi)],\n",
-       "[      n_t*t + s*sin(alpha)],\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": 23,
+     "execution_count": 20,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -295,17 +285,154 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 32,
+   "execution_count": 21,
    "id": "e47eb83b-6e89-4246-a82a-bd5629aedc2a",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/latex": [
-       "$\\displaystyle \\frac{\\pi \\operatorname{asin}{\\left(\\frac{x}{s \\cos{\\left(\\alpha \\right)}} \\right)}}{n_{t}}$"
+       "$\\displaystyle \\operatorname{acos}{\\left(\\frac{x}{r_{w} + s \\cos{\\left(\\alpha \\right)}} \\right)}$"
       ],
       "text/plain": [
-       "pi*asin(x/(s*cos(alpha)))/n_t"
+       "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,
@@ -314,97 +441,330 @@
     }
    ],
    "source": [
-    "x_cross_section = sp.simplify(sp.solve(spiral[0] - x, t)[1])\n",
-    "x_cross_section  # parameter s"
+    "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": 33,
-   "id": "c2954b39-eea0-4e27-987f-07a5d0dedaad",
+   "execution_count": 1,
+   "id": "0811a6d6-4544-4a99-b4bd-ba5cf6b9027e",
    "metadata": {},
    "outputs": [
     {
-     "data": {
-      "text/latex": [
-       "$\\displaystyle \\left[\\begin{matrix}x\\\\s \\sqrt{1 - \\frac{x^{2}}{s^{2} \\cos^{2}{\\left(\\alpha \\right)}}} \\cos{\\left(\\alpha \\right)}\\\\s \\sin{\\left(\\alpha \\right)} + \\pi \\operatorname{asin}{\\left(\\frac{x}{s \\cos{\\left(\\alpha \\right)}} \\right)}\\\\1.0\\end{matrix}\\right]$"
-      ],
-      "text/plain": [
-       "Matrix([\n",
-       "[                                               x],\n",
-       "[s*sqrt(1 - x**2/(s**2*cos(alpha)**2))*cos(alpha)],\n",
-       "[        s*sin(alpha) + pi*asin(x/(s*cos(alpha)))],\n",
-       "[                                             1.0]])"
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "PATH_TO_FREECAD_LIBDIR not specified, using default FreeCAD version in /Users/lo/mambaforge/envs/freecad/lib\n"
      ]
     },
-     "execution_count": 33,
+    {
+     "data": {
+      "text/plain": [
+       "<Part::PartFeature>"
+      ]
+     },
+     "execution_count": 1,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "spiral_x = sp.simplify(spiral.subs({t: x_cross_section}))\n",
-    "spiral_x"
+    "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": 43,
-   "id": "268c6302-4e7d-45e0-be28-1b64cf8b766e",
+   "execution_count": 21,
+   "id": "73769524-0356-4364-acbc-c4a28d26fc57",
    "metadata": {},
    "outputs": [
     {
-     "data": {
-      "text/latex": [
-       "$\\displaystyle \\frac{\\sqrt{x^{2} + y^{2}}}{\\cos{\\left(\\alpha \\right)}}$"
-      ],
-      "text/plain": [
-       "sqrt(x**2 + y**2)/cos(alpha)"
+     "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"
      ]
-     },
-     "execution_count": 43,
-     "metadata": {},
-     "output_type": "execute_result"
     }
    ],
    "source": [
-    "y_cross_section = sp.simplify(sp.solve(spiral_x[1]- y, s)[0])\n",
-    "y_cross_section"
+    "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": 44,
-   "id": "7284bd6a-b47b-483c-8e9f-79fcaecce5e3",
+   "execution_count": 20,
+   "id": "26079daf-9e99-4365-89f4-c560e2aac9bd",
    "metadata": {},
    "outputs": [
     {
-     "data": {
-      "text/latex": [
-       "$\\displaystyle \\left[\\begin{matrix}x\\\\\\left|{y}\\right|\\\\\\sqrt{x^{2} + y^{2}} \\tan{\\left(\\alpha \\right)} + \\pi \\operatorname{asin}{\\left(\\frac{x}{\\sqrt{x^{2} + y^{2}}} \\right)}\\\\1.0\\end{matrix}\\right]$"
-      ],
-      "text/plain": [
-       "Matrix([\n",
-       "[                                                          x],\n",
-       "[                                                     Abs(y)],\n",
-       "[sqrt(x**2 + y**2)*tan(alpha) + pi*asin(x/sqrt(x**2 + y**2))],\n",
-       "[                                                        1.0]])"
+     "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"
      ]
-     },
-     "execution_count": 44,
-     "metadata": {},
-     "output_type": "execute_result"
     }
    ],
    "source": [
-    "spiral_xy = sp.simplify(spiral_x.subs({s: y_cross_section}))\n",
-    "spiral_xy"
+    "    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": "82e6880a-7240-44a4-a346-4fc45e24971b",
+   "id": "e0bfeffb-7261-4976-8eb3-805af31d4bfd",
    "metadata": {},
    "outputs": [],
    "source": []
@@ -426,7 +786,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.11.0"
+   "version": "3.13.1"
   }
  },
  "nbformat": 4,

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/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

@@ -17,27 +17,30 @@
 # ***************************************************************************
 
 import os
-import FreeCAD
-import FreeCADGui as Gui
+from freecad import app
+from freecad import gui
 
-from .features import (
-    ViewProviderGear,
-    InvoluteGear,
-    InternalInvoluteGear,
-    InvoluteGearRack,
-    CycloidGearRack,
-    CycloidGear,
-    BevelGear,
-    CrownGear,
-    WormGear,
-    TimingGear,
-    LanternGear,
-    HypoCycloidGear,
-    BaseGear,
-)
-from .timing_gear_t import TimingGearT
+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):
@@ -49,33 +52,33 @@ 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(
+        gui.doCommandGui("import freecad.gears.commands")
+        gui.doCommandGui(
             "freecad.gears.commands.{}.create()".format(self.__class__.__name__)
         )
-        FreeCAD.ActiveDocument.recompute()
-        Gui.SendMsgToActiveView("ViewFit")
+        app.ActiveDocument.recompute()
+        gui.SendMsgToActiveView("ViewFit")
 
     @classmethod
     def create(cls):
-        if FreeCAD.GuiUp:
+        if app.GuiUp:
             # borrowed from threaded profiles
             # puts the gear into an active container
-            body = Gui.ActiveDocument.ActiveView.getActiveObject("pdbody")
-            part = Gui.ActiveDocument.ActiveView.getActiveObject("part")
+            body = gui.ActiveDocument.ActiveView.getActiveObject("pdbody")
+            part = gui.ActiveDocument.ActiveView.getActiveObject("part")
 
             if body:
-                obj = FreeCAD.ActiveDocument.addObject(
+                obj = app.ActiveDocument.addObject(
                     "PartDesign::FeaturePython", cls.NAME
                 )
             else:
-                obj = FreeCAD.ActiveDocument.addObject("Part::FeaturePython", cls.NAME)
+                obj = app.ActiveDocument.addObject("Part::FeaturePython", cls.NAME)
             ViewProviderGear(obj.ViewObject, cls.Pixmap)
             cls.GEAR_FUNCTION(obj)
 
@@ -84,7 +87,7 @@ class BaseCommand(object):
             elif part:
                 part.Group += [obj]
         else:
-            obj = FreeCAD.ActiveDocument.addObject("Part::FeaturePython", cls.NAME)
+            obj = app.ActiveDocument.addObject("Part::FeaturePython", cls.NAME)
             cls.GEAR_FUNCTION(obj)
         return obj
 
@@ -100,117 +103,164 @@ class CreateInvoluteGear(BaseCommand):
     NAME = "InvoluteGear"
     GEAR_FUNCTION = InvoluteGear
     Pixmap = os.path.join(BaseCommand.ICONDIR, "involutegear.svg")
-    MenuText = "Involute Gear"
-    ToolTip = "Create an external involute gear"
+    MenuText = QT_TRANSLATE_NOOP("FCGear_InvoluteGear", "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 = "Internal Involute Gear"
-    ToolTip = "Create an internal involute gear"
+    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 = InvoluteGearRack
     Pixmap = os.path.join(BaseCommand.ICONDIR, "involuterack.svg")
-    MenuText = "Involute Rack"
-    ToolTip = "Create an Involute rack"
+    MenuText = QT_TRANSLATE_NOOP("FCGear_InvoluteRack", "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 = "Cycloid Rack"
-    ToolTip = "Create an Cycloid rack"
+    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 = CrownGear
     Pixmap = os.path.join(BaseCommand.ICONDIR, "crowngear.svg")
-    MenuText = "Crown Gear"
-    ToolTip = "Create a Crown gear"
+    MenuText = QT_TRANSLATE_NOOP("FCGear_CrownGear", "Crown Gear")
+    ToolTip = QT_TRANSLATE_NOOP("FCGear_CrownGear", "Create a Crown gear")
 
 
 class CreateCycloidGear(BaseCommand):
     NAME = "CycloidGear"
     GEAR_FUNCTION = CycloidGear
     Pixmap = os.path.join(BaseCommand.ICONDIR, "cycloidgear.svg")
-    MenuText = "Cycloid Gear"
-    ToolTip = "Create a Cycloid gear"
+    MenuText = QT_TRANSLATE_NOOP("FCGear_CycloidGear", "Cycloid Gear")
+    ToolTip = QT_TRANSLATE_NOOP("FCGear_CycloidGear", "Create a Cycloid gear")
 
 
 class CreateBevelGear(BaseCommand):
     NAME = "BevelGear"
     GEAR_FUNCTION = BevelGear
     Pixmap = os.path.join(BaseCommand.ICONDIR, "bevelgear.svg")
-    MenuText = "Bevel Gear"
-    ToolTip = "Create a Bevel gear"
+    MenuText = QT_TRANSLATE_NOOP("FCGear_BevelGear", "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 = "HypoCycloid Gear"
-    ToolTip = "Create a HypoCycloid gear with its pins"
+    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 = "Worm Gear"
-    ToolTip = "Create a Worm gear"
+    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 = "Timing Gear T-shape"
-    ToolTip = "Create a Timing gear T-shape"
+    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 = "Timing Gear"
-    ToolTip = "Create a Timing gear"
+    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 = "Lantern Gear"
-    ToolTip = "Create a Lantern gear"
+    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 = "Combine two gears"
-    ToolTip = "Combine two gears"
+    MenuText = QT_TRANSLATE_NOOP("FCGear_GearConnector", "Combine two gears")
+    ToolTip = QT_TRANSLATE_NOOP("FCGear_GearConnector", "Combine two gears")
 
     def Activated(self):
-        gear1 = Gui.Selection.getSelection()[0]
-        assert isinstance(gear1.Proxy, BaseGear)
+        try:
+            selection = gui.Selection.getSelection()
 
-        gear2 = Gui.Selection.getSelection()[1]
-        assert isinstance(gear2.Proxy, BaseGear)
+            if len(selection) != 2:
+                raise ValueError(
+                    app.Qt.translate("Log", "Please select two objects (gear+gear or connector+gear).")
+                )
 
-        # check if selected objects are beams
+            # 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
             
-        obj = FreeCAD.ActiveDocument.addObject("Part::FeaturePython", self.NAME)
-        GearConnector(obj, gear1, gear2)
+            # 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)
 
-        FreeCAD.ActiveDocument.recompute()
+            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

@@ -17,18 +17,22 @@
 # ***************************************************************************
 
 import os
+import sys
 import numpy as np
-import FreeCAD
+
+from freecad import app
+
 from pygears import __version__
-from .features import (
-    InvoluteGear,
-    CycloidGear,
-    InvoluteGearRack,
-    CycloidGearRack,
-    InternalInvoluteGear,
-)
 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):
@@ -43,6 +47,15 @@ class ViewProviderGearConnector(object):
     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}
 
@@ -51,100 +64,234 @@ class ViewProviderGearConnector(object):
 
 
 class GearConnector(object):
+    _recomputing = False
+
     def __init__(self, obj, master_gear, slave_gear):
         obj.addProperty(
-            "App::PropertyString", "version", "version", "freecad.gears-version", 1
+            "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::PropertyLink", "master_gear", "gear", "master gear", 1)
-        obj.addProperty("App::PropertyLink", "slave_gear", "gear", "slave gear", 1)
         obj.addProperty(
             "App::PropertyAngle",
             "angle1",
             "gear",
-            "angle at which second gear is placed",
+            QT_TRANSLATE_NOOP("App::Property", "angle at which second gear is placed"),
             0,
         )
         obj.addProperty(
             "App::PropertyAngle",
             "angle2",
             "gear",
-            "angle at which second gear is placed",
+            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):
-        # fp.angle2 = fp.master_gear.Placement.Rotation.Angle
+        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.dw
-            dw_slave = fp.slave_gear.dw
+            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.teeth,
-                    fp.slave_gear.teeth,
+                    fp.master_gear.num_teeth,
+                    fp.slave_gear.num_teeth,
                     fp.master_gear.shift,
                     fp.slave_gear.shift,
                 )
 
-            mat0 = FreeCAD.Matrix()  # unity matrix
-            trans = FreeCAD.Vector(dist)
-            mat0.move(trans)
-            rot = FreeCAD.Rotation(FreeCAD.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 = FreeCAD.Rotation(FreeCAD.Vector(0, 0, 1), angle2).toMatrix()
-            angle3 = abs(fp.slave_gear.teeth % 2 - 1) * 180.0 / fp.slave_gear.teeth
-            rot3 = FreeCAD.Rotation(FreeCAD.Vector(0, 0, 1), angle3).toMatrix()
-            rot4 = FreeCAD.Rotation(FreeCAD.Vector(0, 0, 1), -angle4).toMatrix()
-            mat1 = rot * mat0 * rot2 * rot3 * rot4
-            mat1.move(fp.master_gear.Placement.Base)
-            fp.slave_gear.Placement = mat1
+            # 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.dw
-            dw_slave = fp.slave_gear.dw
+            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.teeth,
-                    fp.slave_gear.teeth,
+                    fp.master_gear.num_teeth,
+                    fp.slave_gear.num_teeth,
                     fp.master_gear.shift,
                     fp.slave_gear.shift,
                 )
 
-            mat0 = FreeCAD.Matrix()  # unity matrix
-            trans = FreeCAD.Vector(dist)
+            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 = FreeCAD.Rotation(FreeCAD.Vector(0, 0, 1), fp.angle1).toMatrix()
+                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 = FreeCAD.Rotation(FreeCAD.Vector(0, 0, 1), angle2).toMatrix()
-            angle3 = abs(fp.slave_gear.teeth % 2 - 1) * 180.0 / fp.slave_gear.teeth
-            rot3 = FreeCAD.Rotation(FreeCAD.Vector(0, 0, 1), angle3).toMatrix()
-            rot4 = FreeCAD.Rotation(FreeCAD.Vector(0, 0, 1), -angle4).toMatrix()
+                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)
@@ -153,47 +300,92 @@ class GearConnector(object):
             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.dw.Value
+            dw_master = fp.master_gear.pitch_diameter.Value
             dw_slave = 0
             dist = -(dw_master + dw_slave) / 2
-            mat0 = FreeCAD.Matrix()  # unity matrix
-            mat0.move(FreeCAD.Vector(dist, 0, 0))
-            mat1 = FreeCAD.Matrix()
-            mat1.move(FreeCAD.Vector(0, np.deg2rad(fp.angle1.Value) * dw_master / 2, 0))
-            mat2 = FreeCAD.Matrix()
-            mat2.move(
-                FreeCAD.Vector(0, -np.deg2rad(fp.angle2.Value) * dw_master / 2, 0)
-            )
-            rot = FreeCAD.Rotation(FreeCAD.Vector(0, 0, 1), fp.angle1).toMatrix()
+            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.dw
-            dw_slave = fp.slave_gear.dw
+            dw_master = fp.master_gear.pitch_diameter.Value
+            dw_slave = fp.slave_gear.pitch_diameter.Value
             dist = (dw_master + dw_slave) / 2
-            mat0 = FreeCAD.Matrix()  # unity matrix
-            trans = FreeCAD.Vector(dist, 0, 0)
+
+            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 = FreeCAD.Rotation(FreeCAD.Vector(0, 0, 1), fp.angle1).toMatrix()
+                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 = FreeCAD.Rotation(FreeCAD.Vector(0, 0, 1), angle2).toMatrix()
-            angle3 = abs(fp.slave_gear.teeth % 2 - 1) * 180.0 / fp.slave_gear.teeth
-            rot3 = FreeCAD.Rotation(FreeCAD.Vector(0, 0, 1), angle3).toMatrix()
-            rot4 = FreeCAD.Rotation(FreeCAD.Vector(0, 0, 1), -angle4).toMatrix()
+                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):
-        self.onChanged(fp, None)
+        # 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/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

@@ -18,21 +18,14 @@
 
 import os
 import sys
-import FreeCADGui as Gui
-import FreeCAD as App
+from freecad import app
+from freecad import gui
 
 __dirname__ = os.path.dirname(__file__)
 
-try:
-    from FreeCADGui import Workbench
-except ImportError as e:
-    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"
-    )
-
+# Add translations path
+gui.addLanguagePath(os.path.join(__dirname__, "translations"))
+gui.updateLocale()
 
 if sys.version_info[0] == 3 and sys.version_info[1] >= 11:
     # only works with 0.21.2 and above
@@ -43,19 +36,15 @@ if sys.version_info[0] == 3 and sys.version_info[1] >= 11:
     FC_COMMIT_REQUIRED = 33772
 
     # Check FreeCAD version
-    App.Console.PrintLog("Checking FreeCAD version\n")
-    ver = App.Version()
+    app.Console.PrintLog(app.Qt.translate("Log", "Checking FreeCAD version\n"))
+    ver = app.Version()
     major_ver = int(ver[0])
-    minor_vers = ver[1].split(".")
-    minor_ver = int(minor_vers[0])
-    if minor_vers[1:] and minor_vers[1]:
-        patch_ver = int(minor_vers[1])
-    else:
-        patch_ver = 0
-    gitver = ver[2].split()
+    minor_ver = int(ver[1])
+    patch_ver = int(ver[2])
+    gitver = ver[3].split()
     if gitver:
         gitver = gitver[0]
-    if gitver and gitver != "Unknown":
+    if gitver and gitver != "Unknown" and gitver.isdigit():
         gitver = int(gitver)
     else:
         # If we don't have the git version, assume it's OK.
@@ -77,8 +66,11 @@ if sys.version_info[0] == 3 and sys.version_info[1] >= 11:
             )
         )
     ):
-        App.Console.PrintWarning(
-            "FreeCAD version (currently {}.{}.{} ({})) must be at least {}.{}.{} ({}) in order to work with Python 3.11 and above\n".format(
+        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,
@@ -90,32 +82,34 @@ if sys.version_info[0] == 3 and sys.version_info[1] >= 11:
             )
         )
 
-class GearWorkbench(Workbench):
+
+class GearWorkbench(gui.Workbench):
     """A freecad workbench aiming at gear design"""
 
-    MenuText = "Gear"
-    ToolTip = "Gear Workbench"
+    MenuText = app.Qt.translate("Workbench", "Gear")
+    ToolTip = app.Qt.translate("Workbench", "Gear Workbench")
     Icon = os.path.join(__dirname__, "icons", "gearworkbench.svg")
     commands = [
-        "CreateInvoluteGear",
-        "CreateInternalInvoluteGear",
-        "CreateInvoluteRack",
-        "CreateCycloidGear",
-        "CreateCycloidRack",
-        "CreateBevelGear",
-        "CreateCrownGear",
-        "CreateWormGear",
-        "CreateTimingGearT",
-        "CreateTimingGear",
-        "CreateLanternGear",
-        "CreateHypoCycloidGear",
-        "CreateGearConnector",
+        "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",
     ]
 
     def GetClassName(self):
         return "Gui::PythonWorkbench"
 
     def Initialize(self):
+        QT_TRANSLATE_NOOP = app.Qt.QT_TRANSLATE_NOOP
         from .commands import (
             CreateCycloidGear,
             CreateInvoluteGear,
@@ -129,24 +123,24 @@ class GearWorkbench(Workbench):
             CreateLanternGear,
             CreateHypoCycloidGear,
             CreateCycloidRack,
-            CreateGearConnector
+            CreateGearConnector,
         )
 
-        self.appendToolbar("Gear", self.commands)
-        self.appendMenu("Gear", self.commands)
-        Gui.addCommand("CreateInvoluteGear", CreateInvoluteGear())
-        Gui.addCommand("CreateInternalInvoluteGear", CreateInternalInvoluteGear())
-        Gui.addCommand("CreateCycloidGear", CreateCycloidGear())
-        Gui.addCommand("CreateCycloidRack", CreateCycloidRack())
-        Gui.addCommand("CreateBevelGear", CreateBevelGear())
-        Gui.addCommand("CreateInvoluteRack", CreateInvoluteRack())
-        Gui.addCommand("CreateCrownGear", CreateCrownGear())
-        Gui.addCommand("CreateWormGear", CreateWormGear())
-        Gui.addCommand("CreateTimingGearT", CreateTimingGearT())
-        Gui.addCommand("CreateTimingGear", CreateTimingGear())
-        Gui.addCommand("CreateLanternGear", CreateLanternGear())
-        Gui.addCommand("CreateHypoCycloidGear", CreateHypoCycloidGear())
-        Gui.addCommand("CreateGearConnector", 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
@@ -155,4 +149,4 @@ class GearWorkbench(Workbench):
         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/timing_gear_t.py

@@ -1,113 +0,0 @@
-# -*- 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
-
-import FreeCAD as App
-import Part
-
-from pygears._functions import (
-    rotation,
-    reflection
-)
-
-from .features import BaseGear, fcvec
-
-
-class TimingGearT(BaseGear):
-    def __init__(self, obj):
-        print("hello gear")
-        obj.addProperty("App::PropertyLength", "pitch", "base", "pitch of gear")
-        obj.addProperty("App::PropertyInteger", "teeth", "base", "number of teeth")
-        obj.addProperty("App::PropertyLength", "tooth_height", "base", "radial height of tooth")
-        obj.addProperty("App::PropertyLength", "u", "base", "radial distance from tooth-head to pitch circle")
-        obj.addProperty("App::PropertyAngle", "alpha", "base", "angle of tooth flanks")
-        obj.addProperty("App::PropertyLength", "height", "base", "extrusion height")
-        obj.pitch = "5. mm"
-        obj.teeth = 15
-        obj.tooth_height = "1.2 mm"
-        obj.u = "0.6 mm"
-        obj.alpha = "40. deg"
-        obj.height = "5 mm"
-        self.obj = obj
-        obj.Proxy = self
-    
-    def generate_gear_shape(self, fp):
-        print("generate gear shape")
-        pitch = fp.pitch.Value
-        teeth = fp.teeth
-        u = fp.u.Value
-        tooth_height = fp.tooth_height.Value
-        alpha = fp.alpha.Value / 180. * np.pi  # we need radiant
-        height = fp.height.Value
-
-        r_p = pitch * teeth / 2. / np.pi
-        gamma_0 = pitch / r_p
-        gamma_1 = gamma_0 / 4
-
-        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.).x
-        s2 = sp.optimize.minimize(dist_p2, 0.).x
-
-        p_1 = line(s1)
-        p_2 = line(s2)
-
-        mirror = reflection(0.)  # reflect the points at the x-axis
-        p_3, p_4 = mirror(np.array([p_2, p_1]))
-
-        rot = rotation(-gamma_0)  # why is the rotation in wrong direction ???
-        p_5 = rot(np.array([p_1]))[0]  # the rotation expects a list of points
-
-        l1 = Part.LineSegment(fcvec(p_1), fcvec(p_2)).toShape()
-        l2 = Part.LineSegment(fcvec(p_2), fcvec(p_3)).toShape()
-        l3 = Part.LineSegment(fcvec(p_3), fcvec(p_4)).toShape()
-        l4 = Part.LineSegment(fcvec(p_4), fcvec(p_5)).toShape()
-        w = Part.Wire([l1, l2, l3, l4])
-        
-        # 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., 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 *

metadata.txt

@@ -0,0 +1,4 @@
+[dependencies]
+workbenches=
+pylibs=scipy
+optionalpylibs=

package.xml

@@ -1,24 +1,25 @@
-<?xml version="1.0" encoding="UTF-8" standalone="no" ?>
+<?xml version="1.0" encoding="UTF-8"?>
 <package format="1" xmlns="https://wiki.freecad.org/Package_Metadata">
-  <name>freecad.gears workbench</name>
-  <description>A gear workbench for FreeCAD</description>
-  <version>1.2</version>
-  <date>2022-02-07</date>
-  <maintainer email="sppedflyer@gmail.com">looooo</maintainer>
-  <license file="LICENSE">GPL 3</license>
-  <url type="repository" branch="master">https://github.com/looooo/freecad.gears</url>
-  <url type="bugtracker">https://github.com/looooo/freecad.gears/issues</url>
-  <url type="documentation">https://wiki.freecad.org/FCGear_Workbench</url>
+  <name>gears</name>
+  <description>Parametric gear workbench for Kindred Create</description>
+  <version>1.3.0</version>
+  <maintainer email="development@kindred-systems.com">Kindred Systems</maintainer>
+  <license file="LICENSE">GPL-3.0-or-later</license>
+  <url type="repository">https://git.kindred-systems.com/kindred/gears</url>
   <icon>freecad/gears/icons/gearworkbench.svg</icon>
 
   <content>
     <workbench>
       <classname>GearWorkbench</classname>
-      <subdirectory>./</subdirectory>
-      <freecadmin>0.19</freecadmin>
-      <tag>gear</tag>
-      <tag>gears</tag>
+      <subdirectory>freecad/gears</subdirectory>
     </workbench>
   </content>
 
+  <kindred>
+    <min_create_version>0.1.0</min_create_version>
+    <load_priority>40</load_priority>
+    <dependencies>
+      <dependency>sdk</dependency>
+    </dependencies>
+  </kindred>
 </package>

pixi.toml

@@ -0,0 +1,31 @@
+[workspace]
+authors = ["looooo <sppedflyer@gmail.com>"]
+channels = ["conda-forge"]
+description = "Add a short description here"
+name = "freecad.gears"
+platforms = ["osx-arm64", "linux-aarch64", "linux-64", "win-64", "osx-64"]
+version = "0.1.0"
+
+[pypi-dependencies]
+freecad-visual-tests = "*"
+freecad_gears = { path = ".", editable = true }
+pytest = "*"
+
+[tasks]
+lint = "pylint $(git ls-files '*.py')"
+test = "pytest tests/ -v -m 'not visual'"
+test-visual = "pytest tests/ -v -m visual -s"
+test-visual-xvfb = "xvfb-run -a pytest tests/ -v -m visual -s"
+test-all = "pytest tests/ -v -s"
+create-references = "VISUAL_TEST_REFERENCE_MODE=update pytest tests/ -v -m visual -s"
+create-references-xvfb = "xvfb-run -a pixi run create-references"
+clean-test = "rm -rf tests/data/*/artifacts tests/data/*/references"
+
+[dependencies]
+freecad = ">=1.0.0,<2"
+numpy = ">=1.26,<1.27"
+scipy = "*"
+sympy = "*"
+jupyter = "*"
+pylint = "*"
+matplotlib = "*"

pygears/__init__.py

@@ -16,4 +16,4 @@
 # *                                                                         *
 # ***************************************************************************
 
-__version__ = "1.2.0"
+__version__ = "1.3.0"

pygears/_functions.py

@@ -16,23 +16,39 @@
 # *                                                                         *
 # ***************************************************************************
 
-from __future__ import division
 from numpy import sin, cos, dot, array, ndarray, vstack, transpose, sqrt
 from numpy.linalg import solve, norm
 
 
 def reflection(angle):
-    mat = array([[cos(2 * angle), -sin(2 * angle)],
-                 [-sin(2 * angle), -cos(2 * angle)]])
+    """A 2d reflection- / mirror- transformation 
 
-    def func(x):
-        # why not use mat @ x???
+    Args:
+        angle (float): the angle of the line which mirrors the points.
+
+    Returns:
+        function(points): the function can be used to transform an array of points (2d)
+    """
+    mat = array([[cos(2 * angle), -sin(2 * angle)], [-sin(2 * angle), -cos(2 * angle)]])
+
+    def _func(x):
+        # we do not use matrix-multiplication here because this is meant to work
+        # on an array of points
         return dot(x, mat)
 
-    return func
+    return _func
 
 
 def reflection3D(angle):
+    """A 3d reflection- / mirror- transformation 
+
+    Args:
+        angle (float): the angle of the line which mirrors the points. The transformation
+        happens in xy-plane.
+
+    Returns:
+        function(points): the function can be used to transform an array of points (3d)
+    """
     mat = array(
         [
             [cos(2 * angle), -sin(2 * angle), 0.0],
@@ -41,48 +57,85 @@ def reflection3D(angle):
         ]
     )
 
-    def func(x):
-        # why not use mat @ x
-        return dot(x, mat)
+    def _func(points):
+        return dot(points, mat)
 
-    return func
+    return _func
 
 
-def rotation(angle, midpoint=None):
-    midpoint = midpoint or [0.0, 0.0]
-    mat = array([[cos(angle), -sin(angle)], [sin(angle), cos(angle)]])
-    midpoint = array(midpoint)
-    vec = midpoint - dot(midpoint, mat)
+def rotation(angle, center=None):
+    """A 2d rotation - transformation 
+
+    Args:
+        angle (float): the angle of the rotation.
+        center (2d array): 
+
+    Returns:
+        function(points): the function can be used to transform an array of points (3d)
+    """
+    center = center or [0.0, 0.0]
+    mat = array([[cos(angle), sin(angle)], [-sin(angle), cos(angle)]])
+    center = array(center)
+    vec = center - dot(center, mat)
     trans = translation(vec)
 
-    def func(xx):
-        return trans(dot(xx, mat))
+    def _func(points):
+        return trans(dot(points, mat))
 
-    return func
+    return _func
 
 
 def rotation3D(angle):
+    """A 3d rotation - transformation 
+
+    Args:
+        angle (float): the angle of the line which mirrors the points. The transformation
+        happens in xy-plane.
+
+    Returns:
+        function(points): the function can be used to transform an array of points (3d)
+    """
     mat = array(
-        [[cos(angle), -sin(angle), 0.0], [sin(angle), cos(angle), 0.0], [0.0, 0.0, 1.0]]
+        [[cos(angle), sin(angle), 0.0], [-sin(angle), cos(angle), 0.0], [0.0, 0.0, 1.0]]
     )
 
-    def func(xx):
-        return dot(xx, mat)
+    def _func(points):
+        return dot(points, mat)
 
-    return func
+    return _func
 
 
-def translation(vec):
-    def trans(x):
-        return [x[0] + vec[0], x[1] + vec[1]]
+def translation(vector):
+    """A 2d translation - transformation 
 
-    def func(x):
-        return array(list(map(trans, x)))
+    Args:
+        angle (float): the angle of the line which mirrors the points. The transformation
+        happens in xy-plane.
 
-    return func
+    Returns:
+        function(points): the function can be used to transform an array of points (3d)
+    """
+    def _trans(point):
+        return [point[0] + vector[0], point[1] + vector[1]]
+
+    def _func(points):
+        return array(list(map(_trans, points)))
+
+    return _func
 
 
 def trim(p1, p2, p3, p4):
+    """ a trim function, needs to be documented
+
+    Args:
+        p1 (array or list of length 2): _description_
+        p2 (array or list of length 2): _description_
+        p3 (array or list of length 2): _description_
+        p4 (array or list of length 2): _description_
+
+    Returns:
+        _type_: _description_
+    """
     a1 = array(p1)
     a2 = array(p2)
     a3 = array(p3)
@@ -117,6 +170,16 @@ def trim(p1, p2, p3, p4):
 
 
 def trimfunc(l1, l2):
+    """seems like a trimm function, but I don't have any clue what it does,
+       sry ;)
+
+    Args:
+        l1 (_type_): _description_
+        l2 (_type_): _description_
+
+    Returns:
+        _type_: _description_
+    """
     ik = 0
     i0 = array(l1[0])
     for i in array(l1[1:]):
@@ -141,19 +204,36 @@ def trimfunc(l1, l2):
     return False
 
 
-def diff_norm(vec1, vec2):
-    vec = array(vec2) - array(vec1)
-    return norm(vec)
+def diff_norm(vector_1, vector_2):
+    """_summary_
+
+    Args:
+        vector_1 (np.array or list): the first vector
+        vector_2 (np.array or list): the second vector
+
+    Returns:
+        float: the length of the distance between the two vectors
+    """
+    return norm(array(vector_2) - array(vector_1))
 
 
-def nearestpts(evolv, underc):
+def nearestpts(involute, undercut):
+    """finds the closest points of a involute and an undercutut
+
+    Args:
+        involute (array or list of 2d points ?): the involute section of the tooth
+        undercut (array or list of 2d points ?): the undercut section of the tooth
+
+    Returns:
+        list of arrays: ????
+    """
     ik = 0
     iout = 0
     jout = 0
     outmin = 1000.0
-    for i in array(evolv[1:]):
+    for i in array(involute[1:]):
         jk = 0
-        for j in array(underc[1:]):
+        for j in array(undercut[1:]):
             l = diff_norm(i, j)
             if l < outmin:
                 re = diff_norm(i, [0, 0])
@@ -163,25 +243,46 @@ def nearestpts(evolv, underc):
                     iout, jout = [ik, jk]
             jk += 1
         ik += 1
-    return [vstack([underc[:jout], evolv[iout]]), evolv[iout:]]
+    return [vstack([undercut[:jout], involute[iout]]), involute[iout:]]
 
 
-def intersection_line_circle(p1, p2, r):
-    """return the intersection point of a line from p1 to p2 and a sphere of radius 1 and
-    midpoint 0,0,0"""
-    d = p2 - p1
-    d /= norm(d)
-    p_half = d.dot(p1)
-    q = p1.dot(p1) - r**2
-    t = -p_half + sqrt(p_half**2 - q)
-    return p1 + d * t
+def intersection_line_circle(point_1, point_2, radius):
+    """return the intersection point of a line from point_1 to point_2 and a sphere of radius 1 and
+    midpoint 0,0,0
+
+    Args:
+        point_1 (_type_): start of line
+        point_2 (_type_): end of line
+        radius (float): the radius of the sphere
+
+    Returns:
+        _type_: _description_
+    """
+    diff = point_2 - point_1
+    diff /= norm(diff)
+    p_half = diff.dot(point_1)
+    q = point_1.dot(point_1) - radius ** 2
+    t = -p_half + sqrt(p_half ** 2 - q)
+    return point_1 + diff * t
 
 
-def arc_from_points_and_center(p_1, p_2, m):
-    """return 3 points (x1, x12, x2) which can be used to create the arc"""
-    r = (norm(p_1 - m) + norm(p_2 - m)) / 2
-    p_12l = (p_1 + p_2) / 2
-    v = p_12l - m
+def arc_from_points_and_center(point_1, point_2, center):
+    """
+    returns 3 points (point_1, point_12, point_2) which are on the arc with
+    given center
+
+    Args:
+        point_1 (np.array with length 2): the start point of the arc
+        point_2 (np.array with length 2): the end point of the arc
+        center (np.array with length 2): the center of the arc
+
+    Returns:
+        [point_1, point_12, point_2]: returns the input points + the computed point
+        which is on the arc and between the input points
+    """
+    r = (norm(point_1 - center) + norm(point_2 - center)) / 2
+    p_12l = (point_1 + point_2) / 2
+    v = p_12l - center
     v /= norm(v)
-    p_12 = m + v * r
-    return (p_1, p_12, p_2)
+    p_12 = center + v * r
+    return (point_1, p_12, point_2)

pygears/bevel_tooth.py

@@ -16,8 +16,6 @@
 # *                                                                         *
 # ***************************************************************************
 
-from __future__ import division
-from __future__ import division
 from numpy import (
     cos,
     sin,
@@ -28,7 +26,6 @@ from numpy import (
     array,
     linspace,
     transpose,
-    vstack,
     sqrt,
 )
 from ._functions import rotation3D, reflection3D, intersection_line_circle
@@ -216,13 +213,13 @@ class BevelTooth(object):
         intersection_point = intersection_line_circle(xy[i], point, r_cut)
         xy = array([intersection_point] + list(xy[i + 1 :]))
         xyz = [[p[0], p[1], 1] for p in xy]
-        backlash_rot = rotation3D(self.angular_backlash / 2)
+        backlash_rot = rotation3D(-self.angular_backlash / 2)
         xyz = backlash_rot(xyz)
         return xyz
 
     def points(self, num=10):
         pts = self.involute_points(num=num)
-        rot = rotation3D(-pi / self.z / 2)
+        rot = rotation3D(pi / self.z / 2)
         pts = rot(pts)
         ref = reflection3D(pi / 2)
         pts1 = ref(pts)[::-1]

pygears/computation.py

@@ -45,6 +45,7 @@ def compute_shifted_gears(m, alpha, t1, t2, x1, x2):
     def d_root_inv(x):
         return 1.0 / np.cos(x) - 1
 
+    # use scipy (sp.optimize.minimize(f, f0, df).x) here (as we depent on scipy anyways)
     alpha_w = find_root(alpha, root_inv, d_root_inv)
     dist = m * (t1 + t2) / 2 * np.cos(alpha) / np.cos(alpha_w)
     return dist, alpha_w

pygears/cycloid_tooth.py

@@ -16,30 +16,29 @@
 # *                                                                         *
 # ***************************************************************************
 
-from __future__ import division
 from numpy import cos, sin, arccos, pi, array, linspace, transpose, vstack
 from ._functions import rotation, reflection
 
 
 class CycloidTooth:
-    def __init__(self, z1=5, z2=5, z=14, m=5, clearance=0.25, backlash=0.00, head=0.0):
+    def __init__(self, num_teeth_1=5, num_teeth_2=5, num_teeth=14, m=5, clearance=0.25, backlash=0.00, head=0.0):
         self.m = m
-        self.z = z
+        self.num_teeth = num_teeth
         self.clearance = clearance
         self.backlash = backlash
-        self.z1 = z1
-        self.z2 = z2
+        self.num_teeth_1 = num_teeth_1
+        self.num_teeth_2 = num_teeth_2
         self.head = head
         self._calc_gear_factors()
 
     def _calc_gear_factors(self):
-        self.d1 = self.z1 * self.m
-        self.d2 = self.z2 * self.m
+        self.d1 = self.num_teeth_1 * self.m
+        self.d2 = self.num_teeth_2 * self.m
         self.phi = self.m * pi
-        self.d = self.z * self.m
+        self.d = self.num_teeth * self.m
         self.da = self.d + 2 * (1 + self.head) * self.m
         self.di = self.d - 2 * (1 + self.clearance) * self.m
-        self.phipart = 2 * pi / self.z
+        self.phipart = 2 * pi / self.num_teeth
         self.angular_backlash = self.backlash / (self.d / 2)
 
     def epicycloid_x(self):
@@ -111,7 +110,7 @@ class CycloidTooth:
         pts_outer = transpose([pts_outer_x, pts_outer_y])
         pts_inner = transpose([pts_inner_x, pts_inner_y])
         pts1 = vstack([pts_inner[:-2], pts_outer])
-        rot = rotation(self.phipart / 4 - self.angular_backlash / 2)
+        rot = rotation(-self.phipart / 4 + self.angular_backlash / 2)
         pts1 = rot(pts1)
         ref = reflection(0.0)
         pts2 = ref(pts1)[::-1]
@@ -121,9 +120,9 @@ class CycloidTooth:
     def _update(self):
         self.__init__(
             m=self.m,
-            z=self.z,
-            z1=self.z1,
-            z2=self.z2,
+            num_teeth=self.num_teeth,
+            num_teeth_1=self.num_teeth_1,
+            num_teeth_2=self.num_teeth_2,
             clearance=self.clearance,
             backlash=self.backlash,
             head=self.head,

pygears/involute_tooth.py

@@ -16,7 +16,6 @@
 # *                                                                         *
 # ***************************************************************************
 
-from __future__ import division
 from numpy import (
     tan,
     cos,
@@ -44,7 +43,7 @@ class InvoluteTooth:
     def __init__(
         self,
         m=5,
-        z=15,
+        num_teeth=15,
         pressure_angle=20 * pi / 180.0,
         clearance=0.12,
         shift=0.5,
@@ -53,11 +52,22 @@ class InvoluteTooth:
         backlash=0.00,
         head=0.00,
         properties_from_tool=False,
+        axle_hole=False,
+        axle_holesize=10,
+        offset_hole=False,
+        offset_holesize=10,
+        offset_holeoffset = 5,
     ):
         self.pressure_angle = pressure_angle
         self.beta = beta
         self.m_n = m
-        self.z = z
+        self.num_teeth = num_teeth
+        self.undercut = undercut
+        self.axle_hole = axle_hole
+        self.axle_holesize = axle_holesize
+        self.offset_hole = offset_hole
+        self.offset_holesize = offset_holesize
+        self.offset_holeoffset = offset_holeoffset
         self.undercut = undercut
         self.shift = shift
         self.clearance = clearance
@@ -77,12 +87,12 @@ class InvoluteTooth:
         self.pitch = self.m * pi
         self.c = self.clearance * self.m_n
         self.midpoint = [0.0, 0.0]
-        self.d = self.z * self.m
-        self.dw = self.m * self.z
+        self.d = self.num_teeth * self.m
+        self.dw = self.m * self.num_teeth
         self.da = self.dw + 2.0 * self.m_n + 2.0 * (self.shift + self.head) * self.m_n
         self.df = self.dw - 2.0 * self.m_n - 2 * self.c + 2.0 * self.shift * self.m_n
         self.dg = self.d * cos(self.pressure_angle_t)
-        self.phipart = 2 * pi / self.z
+        self.phipart = 2 * pi / self.num_teeth
 
         self.undercut_end = sqrt(-(self.df**2) + self.da**2) / self.da
         self.undercut_rot = (
@@ -110,7 +120,7 @@ class InvoluteTooth:
             self.m / (self.d) * (pi / 2 + 2 * self.shift * tan(self.pressure_angle_t))
         )
         self.involute_rot2 = (
-            1 / self.z * (pi / 2 + 2 * self.shift * tan(self.pressure_angle_t))
+            1 / self.num_teeth * (pi / 2 + 2 * self.shift * tan(self.pressure_angle_t))
         )
         self.involute_rot = self.involute_rot1 + self.involute_rot2
         self.angular_backlash = self.backlash / (self.d / 2)
@@ -126,7 +136,7 @@ class InvoluteTooth:
         y = array(list(map(fy, pts)))
         xy = transpose([x, y])
         rotate = rotation(
-            self.undercut_rot + self.phipart / 2 - self.angular_backlash / 2
+            -self.undercut_rot - self.phipart / 2 + self.angular_backlash / 2
         )
         xy = rotate(xy)
         return array(xy)
@@ -137,7 +147,7 @@ class InvoluteTooth:
         x = array(list(map(fx, pts)))
         fy = self.involute_function_y()
         y = array(list(map(fy, pts)))
-        rot = rotation(self.involute_rot - self.angular_backlash / 2)
+        rot = rotation(-self.involute_rot + self.angular_backlash / 2)
         xy = rot(transpose(array([x, y])))
         return xy
 
@@ -169,10 +179,6 @@ class InvoluteTooth:
             one_tooth = [u1, e1, [e1[-1], e2[0]], e2, u2]
         return one_tooth
 
-    def gearfunc(self, x):
-        rot = rotation(2 * x / self.dw, self.midpoint)
-        return rot
-
     def undercut_function_x(self):
         def func(psi):
             return cos(psi - (self.df * tan(psi)) / self.dw) * sqrt(
@@ -211,7 +217,7 @@ class InvoluteRack(object):
     def __init__(
         self,
         m=5,
-        z=15,
+        num_teeth=15,
         pressure_angle=20 * pi / 180.0,
         thickness=5,
         beta=0,
@@ -224,7 +230,7 @@ class InvoluteRack(object):
         self.pressure_angle = pressure_angle
         self.thickness = thickness
         self.m = m
-        self.z = z
+        self.num_teeth = num_teeth
         self.beta = beta
         self.head = head
         self.clearance = clearance
@@ -252,8 +258,8 @@ class InvoluteRack(object):
         ]
         teeth = [tooth]
         trans = translation([0.0, pitch, 0.0])
-        for i in range(self.z - 1):
-            if self.simplified and i > 3 and i < (self.z - 6):
+        for i in range(self.num_teeth - 1):
+            if self.simplified and i > 3 and i < (self.num_teeth - 6):
                 tooth = trans(tooth).tolist()
             else:
                 tooth = trans(tooth).tolist()
@@ -263,7 +269,7 @@ class InvoluteRack(object):
                     teeth[-1].pop()
                     teeth[-1][-1][0] = 0
                     teeth[-1][-1][1] -= a / 2
-                if self.simplified and (i == self.z - 6):
+                if self.simplified and (i == self.num_teeth - 6):
                     teeth[-1].pop(0)
                     teeth[-1].pop(0)
                     teeth[-1][0][0] = 0