Tilings of the Sphere by Congruent Quadrilaterals or Triangles
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866916117913534464 |
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| author | Cheung, Ho Man Luk, Hoi Ping Yan, Min |
| author_facet | Cheung, Ho Man Luk, Hoi Ping Yan, Min |
| contents | We completely classify edge-to-edge tilings of the sphere by congruent quadrilaterals. As part of the classification, we also present a modern version of the classification of edge-to-edge tilings of the sphere by congruent triangles. Together with our series of papers that classifies edge-to-edge tilings of the sphere by congruent pentagons, we complete the classification of edge-to-edge tilings of the sphere by congruent polygons. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2204_02736 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Tilings of the Sphere by Congruent Quadrilaterals or Triangles Cheung, Ho Man Luk, Hoi Ping Yan, Min Combinatorics Metric Geometry 05B45, 52C20, 51M20 We completely classify edge-to-edge tilings of the sphere by congruent quadrilaterals. As part of the classification, we also present a modern version of the classification of edge-to-edge tilings of the sphere by congruent triangles. Together with our series of papers that classifies edge-to-edge tilings of the sphere by congruent pentagons, we complete the classification of edge-to-edge tilings of the sphere by congruent polygons. |
| title | Tilings of the Sphere by Congruent Quadrilaterals or Triangles |
| topic | Combinatorics Metric Geometry 05B45, 52C20, 51M20 |
| url | https://arxiv.org/abs/2204.02736 |