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arXiv · 2404.00534

Aperiodic sets of three types of convex polygons

Teruhisa Sugimoto
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Abstract

Sets of three types of convex pentagons that are aperiodic with no matching conditions on the edges are created from a chiral aperiodic monotile Tile(1, 1). This method divides the interior of Tile(1,1) into five convex polygons with five or more edges, and we have so far identified four methods.

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Teruhisa Sugimoto. 2025-01-15. Aperiodic sets of three types of convex polygons. https://arxiv.org/abs/2404.00534

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