On m-point homogeneous polytopes in Euclidean spaces Full article
| Journal |
Filomat
ISSN: 0354-5180 |
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| Output data | Year: 2023, Volume: 37, Number: 25, Pages: 8405-8424 Pages count : 20 DOI: 10.2298/FIL2325405B | ||||
| Tags | Archimedean solid; Finite homogeneous metric space; Gosset polytope; m-point homogeneous metric space; Platonic solid; Point homogeneity degree; Regular polytope; Semiregular polytope; | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0006 |
Abstract:
This paper is devoted to the study the m-point homogeneity property and the point homo-geneity degree for finite metric spaces. Since the vertex sets of regular polytopes, as well as of some their generalizations, are homogeneous, we pay much attention to the study of the homogeneity properties of the vertex sets of polytopes in Euclidean spaces. Among main results, there is a classification of polyhedra with all edges of equal length and with 2-point homogeneous vertex sets. In addition, a significant part of the paper is devoted to the development of methods and tools for studying the relevant objects.
Cite:
Berestovskii V.
, Nikonorov Y.
On m-point homogeneous polytopes in Euclidean spaces
Filomat. 2023. V.37. N25. P.8405-8424. DOI: 10.2298/FIL2325405B WOS Scopus РИНЦ OpenAlex
On m-point homogeneous polytopes in Euclidean spaces
Filomat. 2023. V.37. N25. P.8405-8424. DOI: 10.2298/FIL2325405B WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Jul 8, 2022 |
| Accepted: | Dec 22, 2022 |
Identifiers:
| Web of science: | WOS:001024371100001 |
| Scopus: | 2-s2.0-85159633466 |
| Elibrary: | 67670304 |
| OpenAlex: | W4283713914 |