aperiodic_tile

aperiodic_tile, a MATLAB code which constructs several steps in the aperiodic tiling of the plane, using the monotile T(1,1), displaying the result graphically, by Henning Voss.

Layers 0 through 3 involve, successively, 1, 9, 71, 559 tiles. Layer 8 uses 16,908,641 tiles and probably represents the limit of usefulness for this implementation.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

aperiodic_tile is available in a MATLAB version and an Octave version.

Related Data and Programs:

aperiodic_tile_test

Reference:

1. Henning Voss,
   A tiling algorithm for the aperiodic monotile Tile(1,1),
   arXiv (2024)

Source Code:

• aperiodic_tile.m, the source code.