Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866916019643088896 |
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| author | Maiti, Arun |
| author_facet | Maiti, Arun |
| contents | We provide a resolution of the Heesch problem for homogeneous (also known as semi-regular) tilings, and as a corollary, for tilings by convex monotiles in the hyperbolic plane. We also provide the first known example of weakly aperiodic convex monotiles arising from the dual of homogeneous tilings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27827 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles Maiti, Arun Combinatorics 05B45, 52C20 We provide a resolution of the Heesch problem for homogeneous (also known as semi-regular) tilings, and as a corollary, for tilings by convex monotiles in the hyperbolic plane. We also provide the first known example of weakly aperiodic convex monotiles arising from the dual of homogeneous tilings. |
| title | Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles |
| topic | Combinatorics 05B45, 52C20 |
| url | https://arxiv.org/abs/2603.27827 |