Tiling of Hyperbolic Surface by a Single Tile
Combinatorics
2026-03-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2601.19083,
title = {Tiling of Hyperbolic Surface by a Single Tile},
author = {Chunlin Li and Erxiao Wang and Jie Wu and Min Yan},
journal= {arXiv preprint arXiv:2601.19083},
year = {2026}
}
Comments
15 pages, 14 figures