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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.09911 |
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| _version_ | 1866909949712400384 |
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| author | Berestovskii, V. N. Nikonorov, Yu. G. |
| author_facet | Berestovskii, V. N. Nikonorov, Yu. G. |
| contents | This paper is devoted to the study of the $m$-point homogeneity property for the vertex sets of polytopes in Euclidean spaces. In particular, we present the classifications of $2$-point and $3$-point homogeneous polyhedra in $\mathbb{R}^3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09911 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On $m$-point homogeneous polyhedra in $3$-dimensional Euclidean space Berestovskii, V. N. Nikonorov, Yu. G. Metric Geometry 54E35, 52B15, 20B05 This paper is devoted to the study of the $m$-point homogeneity property for the vertex sets of polytopes in Euclidean spaces. In particular, we present the classifications of $2$-point and $3$-point homogeneous polyhedra in $\mathbb{R}^3$. |
| title | On $m$-point homogeneous polyhedra in $3$-dimensional Euclidean space |
| topic | Metric Geometry 54E35, 52B15, 20B05 |
| url | https://arxiv.org/abs/2408.09911 |