Perfect and almost perfect homogeneous polytopes Full article
| Journal |
Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2023, Volume: 271, Number: 6, Pages: 762-777 Pages count : 16 DOI: 10.1007/s10958-023-06765-8 | ||||
| Tags | Almost perfect polytope · Convex polytope · Homogeneous polytope · Lattice · Linear group representation · Löwner — John ellipsoid · Perfect polytope | ||||
| Authors |
|
||||
| Affiliations |
|
Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0006 |
Abstract:
The paper is devoted to perfect and almost perfect homogeneous polytopes in Euclidean spaces. We have classified perfect and almost perfect polytopes among all regular polytopes and all semiregular polytopes except Archimedean solids and two four-dimensional Gosset polytopes. Also we have constructed some non-regular homogeneous polytopes that are (or are not) perfect and posed some unsolved questions.
Cite:
Berestovskii V.N.
, Nikonorov Y.G.
Perfect and almost perfect homogeneous polytopes
Journal of Mathematical Sciences (United States). 2023. V.271. N6. P.762-777. DOI: 10.1007/s10958-023-06765-8 Scopus РИНЦ OpenAlex
Perfect and almost perfect homogeneous polytopes
Journal of Mathematical Sciences (United States). 2023. V.271. N6. P.762-777. DOI: 10.1007/s10958-023-06765-8 Scopus РИНЦ OpenAlex
Dates:
| Accepted: | Nov 1, 2023 |
| Published print: | Dec 12, 2023 |
| Published online: | Dec 12, 2023 |
Identifiers:
| Scopus: | 2-s2.0-85179305851 |
| Elibrary: | 64243775 |
| OpenAlex: | W4389622180 |
Citing:
Пока нет цитирований