The orthogonal connectedness of polyhedral surfaces
Fuente:
arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917324181733376 |
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| author | Du, Julia Q. He, Xuemei Song, Xiaotian Stiller, Daniela Yuan, Liping Zamfirescu, Tudor |
| author_facet | Du, Julia Q. He, Xuemei Song, Xiaotian Stiller, Daniela Yuan, Liping Zamfirescu, Tudor |
| contents | Using the orthogonal connectedness, we introduce the notion of orthogonal decomposability of convex polytopes and study it in the case of Platonic and Archimedean solids. While doing so, we also encounter polytopes which are not orthogonally decomposable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07734 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The orthogonal connectedness of polyhedral surfaces Du, Julia Q. He, Xuemei Song, Xiaotian Stiller, Daniela Yuan, Liping Zamfirescu, Tudor Combinatorics 52B10, 53A05, 54B15 Using the orthogonal connectedness, we introduce the notion of orthogonal decomposability of convex polytopes and study it in the case of Platonic and Archimedean solids. While doing so, we also encounter polytopes which are not orthogonally decomposable. |
| title | The orthogonal connectedness of polyhedral surfaces |
| topic | Combinatorics 52B10, 53A05, 54B15 |
| url | https://arxiv.org/abs/2603.07734 |