Tiling of Hyperbolic Surface by Multiple Tiles
Combinatorics
2026-04-29 v1 Metric Geometry
Abstract
Tilings of a surface of negative Euler characteristic by n-gons with n\ge 7 is a finite problem. We develop the algorithm for finding all the tilings for fixed number of tiles and present the calculation for tilings of surfaces of small genus by two tiles. We also discuss the number of distinct edge lengths in multiple tile tilings.
Keywords
Cite
@article{arxiv.2604.25173,
title = {Tiling of Hyperbolic Surface by Multiple Tiles},
author = {Chunlin Li and Erxiao Wang and Wu Jie and Min Yan},
journal= {arXiv preprint arXiv:2604.25173},
year = {2026}
}
Comments
14 pages, 13 figures