Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes
In this paper we introduce and study a class of centrally symmetric polytopes – perfect prismatoids – and some its properties related to the famous conjecture concerning face numbers of centrally symmetric polytopes are proved. It is proved that any Hanner polytope is a perfect prismatoid and any pe...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Yaroslavl State University
2015-03-01
|
| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | https://www.mais-journal.ru/jour/article/view/148 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850023928357978112 |
|---|---|
| author | M. A. Kozachok |
| author_facet | M. A. Kozachok |
| author_sort | M. A. Kozachok |
| collection | DOAJ |
| description | In this paper we introduce and study a class of centrally symmetric polytopes – perfect prismatoids – and some its properties related to the famous conjecture concerning face numbers of centrally symmetric polytopes are proved. It is proved that any Hanner polytope is a perfect prismatoid and any perfect prismatoid is affine equivalent to some 0/1-polytope. |
| format | Article |
| id | doaj-art-adc5c8779e3c4ab993bc4d4656f323ad |
| institution | DOAJ |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2015-03-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-adc5c8779e3c4ab993bc4d4656f323ad2025-08-20T03:01:15ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172015-03-0119613714710.18255/1818-1015-2012-6-137-147142Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric PolytopesM. A. Kozachok0Математический институт им. В.А. Стеклова РАН; Ярославский государственный университет им. П.Г. Демидова, Международная лаборатория "Дискретная и вычислительная геометрия" им. Б.Н. ДелонеIn this paper we introduce and study a class of centrally symmetric polytopes – perfect prismatoids – and some its properties related to the famous conjecture concerning face numbers of centrally symmetric polytopes are proved. It is proved that any Hanner polytope is a perfect prismatoid and any perfect prismatoid is affine equivalent to some 0/1-polytope.https://www.mais-journal.ru/jour/article/view/148polytopeshanner polytopeskalai’s conjecture |
| spellingShingle | M. A. Kozachok Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes Моделирование и анализ информационных систем polytopes hanner polytopes kalai’s conjecture |
| title | Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes |
| title_full | Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes |
| title_fullStr | Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes |
| title_full_unstemmed | Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes |
| title_short | Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes |
| title_sort | perfect prismatoids and the conjecture concerning face numbers of centrally symmetric polytopes |
| topic | polytopes hanner polytopes kalai’s conjecture |
| url | https://www.mais-journal.ru/jour/article/view/148 |
| work_keys_str_mv | AT makozachok perfectprismatoidsandtheconjectureconcerningfacenumbersofcentrallysymmetricpolytopes |