Conway Criterion for Bézier Curves

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In the theory of tessellations, the Conway criterion specifies a sufficient rule for a prototile to tile the plane. This Demonstration shows a construction of tiling using the Conway criterion. Two Bézier curves of a polygon are parallel and two are centrally symmetric, both satisfying the Conway condition. You can drag the red locators in the prototile mode.

Contributed by: Izidor Hafner (June 13)
Open content licensed under CC BY-NC-SA



[1] Wikipedia. "Conway Criterion." (Apr 14, 2023)

[2] D. Schattschneider, "Will It Tile? Try the Conway Criterion!," Mathematics Magazine, 53(4), 1980 pp. 224–233. doi:10.1080/0025570X.1980.11976859.

[3] D. Schattschneider. Two Conway Geometric Gems [Video]. (Apr 14, 2023)


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