Aperiodic sets of three types of convex polygons
Metric Geometry
2025-01-16 v5
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.
Keywords
Cite
@article{arxiv.2404.00534,
title = {Aperiodic sets of three types of convex polygons},
author = {Teruhisa Sugimoto},
journal= {arXiv preprint arXiv:2404.00534},
year = {2025}
}
Comments
40 pages, 39 figures