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Semiregular Gosset polytopes Full article

Journal Izvestiya Mathematics
ISSN: 1064-5632
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 Berestovskii V.N. 1 , Nikonorov Yu.G. 2
Affiliations
1 Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
2 Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz

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
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
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
Citing:
DB Citing
Scopus 1
OpenAlex 1
Web of science 1
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