Geodesic
Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes
Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 6, pp. 137-147 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: polytopes, Hanner polytopes
Mots-clés : Kalai's conjecture. 
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M. A. Kozachok. Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes. Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 6, pp. 137-147. http://geodesic.mathdoc.fr/item/MAIS_2012_19_6_a12/

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