Tilings of Flat Tori by Congruent Hexagons
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910438528122880 |
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| author | Yu, Xinlu Wang, Erxiao Yan, Min |
| author_facet | Yu, Xinlu Wang, Erxiao Yan, Min |
| contents | Convex hexagons that can tile the plane have been classified into three types. For the generic cases (not necessarily convex) of the three types and two other special cases, we classify tilings of the plane under the assumption that all vertices have degree $3$. Then we use the classification to describe the corresponding hexagonal tilings of flat tori and their moduli spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04843 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tilings of Flat Tori by Congruent Hexagons Yu, Xinlu Wang, Erxiao Yan, Min Combinatorics Convex hexagons that can tile the plane have been classified into three types. For the generic cases (not necessarily convex) of the three types and two other special cases, we classify tilings of the plane under the assumption that all vertices have degree $3$. Then we use the classification to describe the corresponding hexagonal tilings of flat tori and their moduli spaces. |
| title | Tilings of Flat Tori by Congruent Hexagons |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2405.04843 |