Tiling of Hyperbolic Surface by a Single Tile

Fuente: arXiv
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Main Authors: Li, Chunlin, Wang, Erxiao, Wu, Jie, Yan, Min
Format: Preprint
Published: 2026
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author Li, Chunlin
Wang, Erxiao
Wu, Jie
Yan, Min
author_facet Li, Chunlin
Wang, Erxiao
Wu, Jie
Yan, Min
contents Tilings of a surface of negative Euler characteristic by n-gons with n\ge 7 is a finite problem. One extreme of the finite problem is single tile tilings. We develop the algorithm for finding all the single tile tilings and present the results for surfaces of small genus.
format Preprint
id arxiv_https___arxiv_org_abs_2601_19083
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Tiling of Hyperbolic Surface by a Single Tile
Li, Chunlin
Wang, Erxiao
Wu, Jie
Yan, Min
Combinatorics
Tilings of a surface of negative Euler characteristic by n-gons with n\ge 7 is a finite problem. One extreme of the finite problem is single tile tilings. We develop the algorithm for finding all the single tile tilings and present the results for surfaces of small genus.
title Tiling of Hyperbolic Surface by a Single Tile
topic Combinatorics
url https://arxiv.org/abs/2601.19083