Perfect and almost perfect homogeneous polytopes Научная публикация
| Журнал |
Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795 |
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| Вых. Данные | Год: 2023, Том: 271, Номер: 6, Страницы: 762-777 Страниц : 16 DOI: 10.1007/s10958-023-06765-8 | ||||
| Ключевые слова | Almost perfect polytope · Convex polytope · Homogeneous polytope · Lattice · Linear group representation · Löwner — John ellipsoid · Perfect polytope | ||||
| Авторы |
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| Организации |
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Информация о финансировании (1)
| 1 | Институт математики им. С.Л. Соболева СО РАН | FWNF-2022-0006 |
Реферат:
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.
Библиографическая ссылка:
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
Даты:
| Принята к публикации: | 1 нояб. 2023 г. |
| Опубликована в печати: | 12 дек. 2023 г. |
| Опубликована online: | 12 дек. 2023 г. |
Идентификаторы БД:
| Scopus: | 2-s2.0-85179305851 |
| РИНЦ: | 64243775 |
| OpenAlex: | W4389622180 |
Цитирование в БД:
Пока нет цитирований