Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes

Modelirovanie i Analiz Informacionnyh Sistem

M. A. Kozachok¹ 

[1] Математический институт им. В.А. Стеклова РАН;

关键词: polytopes;    hanner polytopes;    kalai’s conjecture;   

DOI  :  10.18255/1818-1015-2012-6-137-147

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown