A Mathematica GUI for Generating Conway Tiles

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Bruce Torrence: A Mathematica GUI for Generating Conway Tiles. In: Bridges 2012. Pages 397–398



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.

Extended Abstract


Used References

[1] D. Schattschneider, “Will it tile? Try the Conway Criterion!,” Mathematics Magazine, 53 (4), Sept. 1980, 224–233.

[2] B. Torrence, Conway Tile Builder, http://faculty.rmc.edu/btorrenc/tilebuilder/.


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