Tilings of the Sphere by Congruent Pentagons IV: Edge Combination $a^4b$
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909098357817344 |
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| author | Luk, Hoi Ping Yan, Min |
| author_facet | Luk, Hoi Ping Yan, Min |
| contents | We classify edge-to-edge tilings of the sphere by congruent almost equilateral pentagons, in which four edges have the same length. Together with our earlier classifications of edge-to-edge tilings of the sphere by congruent equilateral pentagons of other types, and our classification of edge-to-edge tilings of the sphere by congruent quadrilaterals or triangles, we complete the classification of edge-to-edge tilings of the sphere by congruent polygons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_11453 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Tilings of the Sphere by Congruent Pentagons IV: Edge Combination $a^4b$ Luk, Hoi Ping Yan, Min Combinatorics Metric Geometry 05B45, 52C20, 51M20 We classify edge-to-edge tilings of the sphere by congruent almost equilateral pentagons, in which four edges have the same length. Together with our earlier classifications of edge-to-edge tilings of the sphere by congruent equilateral pentagons of other types, and our classification of edge-to-edge tilings of the sphere by congruent quadrilaterals or triangles, we complete the classification of edge-to-edge tilings of the sphere by congruent polygons. |
| title | Tilings of the Sphere by Congruent Pentagons IV: Edge Combination $a^4b$ |
| topic | Combinatorics Metric Geometry 05B45, 52C20, 51M20 |
| url | https://arxiv.org/abs/2307.11453 |