Hexagonal Tiling of the Plane

Fuente: arXiv
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Autores principales: Zhu, Ze, Wang, Erxiao, Yan, Min
Formato: Preprint
Publicado: 2025
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author Zhu, Ze
Wang, Erxiao
Yan, Min
author_facet Zhu, Ze
Wang, Erxiao
Yan, Min
contents Since the thesis of K. Reinhardt in 1918, it is well known that there are exactly three types of convex hexagons that can tile the plane. However, the proof of the fact is far from being complete. We prove this fact, under an assumption weaker than the convexity.
format Preprint
id arxiv_https___arxiv_org_abs_2508_01404
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Hexagonal Tiling of the Plane
Zhu, Ze
Wang, Erxiao
Yan, Min
Combinatorics
History and Overview
Metric Geometry
05B45, 52C20, 51-03
Since the thesis of K. Reinhardt in 1918, it is well known that there are exactly three types of convex hexagons that can tile the plane. However, the proof of the fact is far from being complete. We prove this fact, under an assumption weaker than the convexity.
title Hexagonal Tiling of the Plane
topic Combinatorics
History and Overview
Metric Geometry
05B45, 52C20, 51-03
url https://arxiv.org/abs/2508.01404