Side-to-side Tiling of the Sphere by Congruent Curvilinear Triangles
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911371471355904 |
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| author | Jin, Keyi Lu, Linming Wang, Erxiao Wu, Lijuan Yan, Min |
| author_facet | Jin, Keyi Lu, Linming Wang, Erxiao Wu, Lijuan Yan, Min |
| contents | The edge-to-edge tilings of the sphere by congruent polygons, where all edges are straight, have been completely classified. We classify the curvilinear version of the similar triangular tilings, where the edges may not be straight, and find that these are the modifications of the straight triangular tilings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08250 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Side-to-side Tiling of the Sphere by Congruent Curvilinear Triangles Jin, Keyi Lu, Linming Wang, Erxiao Wu, Lijuan Yan, Min Combinatorics Metric Geometry The edge-to-edge tilings of the sphere by congruent polygons, where all edges are straight, have been completely classified. We classify the curvilinear version of the similar triangular tilings, where the edges may not be straight, and find that these are the modifications of the straight triangular tilings. |
| title | Side-to-side Tiling of the Sphere by Congruent Curvilinear Triangles |
| topic | Combinatorics Metric Geometry |
| url | https://arxiv.org/abs/2601.08250 |