A Mathematica GUI for Generating Conway Tiles

Bruce Torrence
Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture (2012)
Pages 397–398 Short Papers


The Conway Tiling Criterion specifies conditions sufficient to guarantee a geometric shape will periodically tile the plane. We present a suite of dynamically interactive software tools that facilitate the creation of these Conway tiles. The variety of tiles that can be produced is astounding, and the resulting tiles can be exported to a variety of image formats, individually or as completely tiled regions comprising multiple tiles. The tools are freely available [2], but require the Mathematica software system.