Semiregular Gosset polytopes
- Authors: Berestovskii V.N.1, Nikonorov Y.G.2
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Affiliations:
- 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
- Issue: Vol 86, No 4 (2022)
- Pages: 51-84
- Section: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/133873
- DOI: https://doi.org/10.4213/im9169
- ID: 133873
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Abstract
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.
About the authors
Valerii Nikolaevich 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 Gennadyevich 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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