Open AccessPerfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes
Author(s) -
Marina Kozachok
Publication year - 2015
Publication title -
modelirovanie i analiz informacionnyh sistem
Language(s) - English
Resource type - Journals
eISSN - 2313-5417
pISSN - 1818-1015
DOI - 10.18255/1818-1015-2012-6-137-147
Subject(s) - polytope , combinatorics , conjecture , mathematics , face (sociological concept) , affine transformation , class (philosophy) , pure mathematics , computer science , philosophy , artificial intelligence , linguistics
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.