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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Yaroslavl State University
2015-03-01
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| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | https://www.mais-journal.ru/jour/article/view/148 |
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| Summary: | 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. |
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| ISSN: | 1818-1015 2313-5417 |