MagicTile

Geometrical and Topological Analogues of Rubik's Cube

Geometrical and Topological Analogues of Rubik's Cube

MagicTile is a program that abstracts the Rubik's Cube as a colored regular tiling of squares on the sphere.
The familiar "cubeness" is lost, but all the important properties of the original puzzle remain.
Once we have a nice analogue of a twist from this perspective, we can consider other colored regular tilings
and a huge number of new twisty puzzles become possible, some living in the world of hyperbolic geometry!

A quick overview of what MagicTile supports:

The MagicTile code is available on GitHub.

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A quick overview of what MagicTile supports:

- Regular tilings with Schäfli symbol{p,q}
- Various coloring maps for each tiling
- Non-orientable topologies like Klein bottle and Boy's surface
- General twisting: face, edge, vertex, and "earthquake" twisting
- Many projections: sterographic, gnomonic, fisheye, Poincaré, Klein
- Smooth panning in all projections
- Surface views
- Infinite regular polyhedra puzzles
- ... and much more!

The MagicTile code is available on GitHub.