Antitile

07 Dec 2017

Antitile is a Python package for manipulating polyhedra and tilings. It is largely a collection of add-ons and scripts to be used with for Adrian Rossiter’s Antiprism, but can be used on its own. Documentation is available on readthedocs.io. The most interesting programs in the package are these:

gcopoly.py: The Goldberg-Coxeter subdivision operation of tilings. Basically it makes things that look like geodesic domes, or the quadrilateral-faced analog of geodesic domes. Antiprism itself implemented the triangular version of this in the geodesic, but not the quadrilateral case. This also implementes a handful of new projections.
balloon.py: Balloon tiling of the sphere. Take a regular triangular or quad grid, wrap it around a sphere in a certain way.
cellular.py: Colors polyhedra (faces or vertices) using cellular automata.
view_off.py: Viewer for .off files, the format used by Antiprism. Antiprism has antiview but I wanted something to create .svg files.

Roger Kaufman from the Antiprism Google group made an animation using gcopoly.py and cellular.py, using the rules of Conway’s Game of Life:

A cellular automaton on a 5,3 Goldberg-Coxeter subdivided cube.

2023-11-04: Spherical area coordinates, and a derived triangle center
2023-07-29: Homogeneous coordinates on the sphere with vectors
2022-08-30: Scaling the Schwarz triangle function
2022-08-27: Edges in the image of the Schwarz triangle function
2022-07-20: Area-preserving swirling of the disk
2022-03-03: Some dubious ways to calculate conformal polyhedral projections
2021-10-02: A variation on the Chamberlin trimetric map projection
2021-08-31: Snyder's equal-area projection
2021-06-12: Perspective projections with vectors
2021-05-29: A (sort of) Euclidean triangle on a non-Euclidean surface

Antitile

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