Semiregular Gosset polytopes
- 作者: Berestovskii V.1, Nikonorov Y.2
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隶属关系:
- Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
- Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences
- 期: 卷 86, 编号 4 (2022)
- 页面: 51-84
- 栏目: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/133873
- DOI: https://doi.org/10.4213/im9169
- ID: 133873
如何引用文章
详细
The paper is devoted to the study of metric properties of semiregular polytopesin Euclidean spaces $\mathbb{R}^n$ for $n\geqslant 4$ (Gosset polytopes). Theresults obtained here enable us to complete the classification of regular andsemiregular polytopes in Euclidean spaces whose sets of vertices form normalhomogeneous or Clifford–Wolf homogeneous metric spaces.
作者简介
Valerii Berestovskii
Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Email: berestov@ofim.oscsbras.ru
Doctor of physico-mathematical sciences, Professor
Yurii Nikonorov
Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences
Email: nikonorov2006@mail.ru
Doctor of physico-mathematical sciences, Professor
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