Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes
| Autor: | M. A. Kozachok |
|---|---|
| Jazyk: | English<br />Russian |
| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Моделирование и анализ информационных систем, Vol 19, Iss 6, Pp 137-147 (2015) |
| Druh dokumentu: | article |
| ISSN: | 1818-1015 2313-5417 |
| DOI: | 10.18255/1818-1015-2012-6-137-147 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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