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

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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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     author = {M. A. Kozachok},
     title = {Perfect {Prismatoids} and the {Conjecture} {Concerning}  {Face} {Numbers} of {Centrally} {Symmetric} {Polytopes}},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {137--147},
     publisher = {mathdoc},
     volume = {19},
     number = {6},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2012_19_6_a12/}
}
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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/