https://github.com/stla/pyhyperbolic3d

Python stuff for drawing 3D hyperbolic polyhedra.
https://github.com/stla/pyhyperbolic3d

hyperbolic-geometry mesh pyvista

Last synced: 11 months ago
JSON representation

Python stuff for drawing 3D hyperbolic polyhedra.

• Host: GitHub
• URL: https://github.com/stla/pyhyperbolic3d
• Owner: stla
• License: gpl-3.0
• Created: 2021-10-11T09:12:15.000Z (over 4 years ago)
• Default Branch: main
• Last Pushed: 2023-05-12T16:41:55.000Z (about 3 years ago)
• Last Synced: 2025-04-08T23:29:18.225Z (about 1 year ago)
• Topics: hyperbolic-geometry, mesh, pyvista
• Language: Python
• Homepage: https://pyhyperbolic3d.readthedocs.io/en/latest/index.html
• Size: 39.2 MB
• Stars: 9
• Watchers: 2
• Forks: 1
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

Awesome Lists containing this project

README

          
# PyHyperbolic3D

[![Documentation status](https://readthedocs.org/projects/pyhyperbolic3d/badge/)](http://pyhyperbolic3d.readthedocs.io)

Python stuff for drawing 3D hyperbolic polyhedra with 'PyVista'.

```

pip install pyhyperbolic3d

```

![](https://github.com/stla/PyHyperbolic3D/raw/main/examples/icosahedron.png)

![](https://github.com/stla/PyHyperbolic3D/raw/main/examples/icosahedron_slider.gif)

![](https://github.com/stla/PyHyperbolic3D/raw/main/examples/icosahedron_colored.gif)

![](https://github.com/stla/PyHyperbolic3D/raw/main/examples/BarthHyperbolicpolyhedron.gif)

![](https://github.com/stla/PyHyperbolic3D/raw/main/examples/PentagrammicPrism.gif)

![](https://github.com/stla/PyHyperbolic3D/raw/main/examples/GreatDeltoidalIcositetrahedron.gif)

![](https://github.com/stla/PyHyperbolic3D/raw/main/examples/gircope.gif)

![](https://github.com/stla/PyHyperbolic3D/raw/main/examples/griddip.gif)

#### `gyrotube(A, B, s, r, npoints=300):`

Tubular hyperbolic segment.

##### Parameters

- **`A,B`** points (lists or arrays)

  The two endpoints of the segment.

- **`s`** positive float

   Curvature parameter.

   

- **`r`** positive float

   Radius of the tube.

   

- **`npoints`** integer

   Number of points along the segment. The default is 300.

##### Returns

A PyVista mesh ready for inclusion in a plotting region.

___

#### `gyrotriangle(A, B, C, s, depth=5, tol=1e-6):`

Hyperbolic triangle.

##### Parameters

- **`A,B,C`** points (lists or arrays)

  The vertices of the triangle.

- **`s`** positive float

   Curvature parameter.

   

- **`depth`** integer

   The number of recursive subdivions. The default is 5.

- **`tol`** small positive float

   The tolerance used to merge duplicated points in the mesh.

The default is 1e-6.

##### Returns

A PyVista mesh ready for inclusion in a plotting region.