arXiv:2404.00534 Abstract | arXiv Analytics

arXiv:2404.00534 [math.MG]Abstract References Reviews Resources

Aperiodic sets of three types of convex polygons

Published 2024-03-31Version 1

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.

Comments: 36 pages, 36 figures

Categories: math.MG

Subjects: 05B45, 52C20, F.2.2

Keywords: convex polygons, aperiodic sets, method divides, convex pentagons, matching conditions

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