Tiling of Hyperbolic Surface by Multiple Tiles
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911627974017024 |
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| author | Li, Chunlin Wang, Erxiao Jie, Wu Yan, Min |
| author_facet | Li, Chunlin Wang, Erxiao Jie, Wu Yan, Min |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_25173 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Tiling of Hyperbolic Surface by Multiple Tiles Li, Chunlin Wang, Erxiao Jie, Wu Yan, Min Combinatorics Metric Geometry 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. |
| title | Tiling of Hyperbolic Surface by Multiple Tiles |
| topic | Combinatorics Metric Geometry |
| url | https://arxiv.org/abs/2604.25173 |