Perfect and almost perfect homogeneous polytopes
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911784346058752 |
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| author | Berestovskii, V. N. Nikonorov, Yu. G. |
| author_facet | Berestovskii, V. N. Nikonorov, Yu. G. |
| contents | The paper is devoted to perfect and almost perfect homogeneous polytopes in Euclidean spaces. We classified perfect and almost perfect polytopes among all regular polytopes and all semiregular polytopes excepting Archimedean solids and two four-dimensional Gosset polytopes. Also we construct some non-regular homogeneous polytopes that are (or are not) perfect and posed some unsolved questions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_12211 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Perfect and almost perfect homogeneous polytopes Berestovskii, V. N. Nikonorov, Yu. G. Metric Geometry 52A20, 52A40, 53A04 The paper is devoted to perfect and almost perfect homogeneous polytopes in Euclidean spaces. We classified perfect and almost perfect polytopes among all regular polytopes and all semiregular polytopes excepting Archimedean solids and two four-dimensional Gosset polytopes. Also we construct some non-regular homogeneous polytopes that are (or are not) perfect and posed some unsolved questions. |
| title | Perfect and almost perfect homogeneous polytopes |
| topic | Metric Geometry 52A20, 52A40, 53A04 |
| url | https://arxiv.org/abs/2304.12211 |