On -Point Homogeneous Polyhedra in 3-Dimensional Euclidean Space Full article
| Journal |
Studia Scientiarum Mathematicarum Hungarica
ISSN: 0081-6906 , E-ISSN: 1588-2896 |
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| Output data | Year: 2026, Volume: 63, Number: 2, Pages: 95–129 Pages count : 35 DOI: 10.1556/012.2026.04349 | ||||
| Tags | Archimedean solid, finite homogeneous metric space, -point homogeneous metric space, -point homogeneous polytope, Platonic solid, regular polytope, semiregular polytope | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования РФ | FWNF-2026-0022 |
Abstract:
This paper is devoted to the study of the -point homogeneity property for the vertex sets of convex polytopes in
Euclidean spaces. Its main results consist of classifications of 2-point and 3-point homogeneous polyhedra in ℝ3.
Cite:
Berestovskiĭ V.N.
, Nikonorov Y.G.
On -Point Homogeneous Polyhedra in 3-Dimensional Euclidean Space
Studia Scientiarum Mathematicarum Hungarica. 2026. V.63. N2. P.95–129. DOI: 10.1556/012.2026.04349 WOS Scopus OpenAlex
On -Point Homogeneous Polyhedra in 3-Dimensional Euclidean Space
Studia Scientiarum Mathematicarum Hungarica. 2026. V.63. N2. P.95–129. DOI: 10.1556/012.2026.04349 WOS Scopus OpenAlex
Dates:
| Submitted: | Oct 2, 2024 |
| Accepted: | Apr 25, 2026 |
| Published online: | Jul 7, 2026 |
| Published print: | Aug 3, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001818866400001 |
| ≡ Scopus: | 2-s2.0-105044192423 |
| ≡ OpenAlex: | W7167621863 |