Aperiodic sets of three types of convex polygons

Fuente: arXiv
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Autore principale: Sugimoto, Teruhisa
Natura: Preprint
Pubblicazione: 2024
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author Sugimoto, Teruhisa
author_facet Sugimoto, Teruhisa
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2404_00534
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Aperiodic sets of three types of convex polygons
Sugimoto, Teruhisa
Metric Geometry
05B45, 52C20
F.2.2; F.2.0
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.
title Aperiodic sets of three types of convex polygons
topic Metric Geometry
05B45, 52C20
F.2.2; F.2.0
url https://arxiv.org/abs/2404.00534