Semiregular Gosset polytopes Full article
| Journal |
Izvestiya Mathematics
ISSN: 1064-5632 |
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| Output data | Year: 2022, Volume: 86, Number: 4, Pages: 667-698 Pages count : 32 DOI: 10.4213/im9169e | ||||
| Tags | finite normal homogeneous metric space, finite homogeneous metric space, finite Clifford–Wolf homogeneous metric space, Gosset polytope, semiregular polytope, regular polytope. | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 |
Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok |
075-15-2019-1613, 075-15-2022-281 |
Abstract:
The paper is devoted to the study of metric properties of semiregular polytopes in Euclidean spaces Rn for n ⩾ 4 (Gosset polytopes). The results obtained here enable us to complete the classification of regular and semiregular polytopes in Euclidean spaces whose sets of vertices form normal homogeneous or Clifford–Wolf homogeneous metric spaces.
Cite:
Berestovskii V.N.
, Nikonorov Y.G.
Semiregular Gosset polytopes
Izvestiya Mathematics. 2022. V.86. N4. P.667-698. DOI: 10.4213/im9169e WOS Scopus РИНЦ OpenAlex
Semiregular Gosset polytopes
Izvestiya Mathematics. 2022. V.86. N4. P.667-698. DOI: 10.4213/im9169e WOS Scopus РИНЦ OpenAlex
Original:
Берестовский В.Н.
, Никоноров Ю.Г.
Полуправильные многогранники Госсета
Известия Российской академии наук. Серия математическая. 2022. Т.86. №4. С.51-84. DOI: 10.4213/im9169 РИНЦ OpenAlex
Полуправильные многогранники Госсета
Известия Российской академии наук. Серия математическая. 2022. Т.86. №4. С.51-84. DOI: 10.4213/im9169 РИНЦ OpenAlex
Dates:
| Submitted: | Mar 20, 2021 |
| Accepted: | Sep 3, 2021 |
| Published print: | Feb 22, 2023 |
| Published online: | Feb 22, 2023 |
Identifiers:
| Web of science: | WOS:000992245100002 |
| Scopus: | 2-s2.0-85165619507 |
| Elibrary: | 59280238 |
| OpenAlex: | W4381306132 |