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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 broken lines of a polygon are parallel and two are central symmetric, satisfying the Conway condition. You can move the red locators.

Contributed by: Izidor Hafner (May 8)
Open content licensed under CC BY-NC-SA

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References

[1] Wikipedia. "Conway Criterion." (Apr 7, 2023) en.wikipedia.org/wiki/Conway_criterion.

[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 7, 2023) www.youtube.com/watch?v=VUatbM2sxh8&t=1s.

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