Volume 71, Issue 2 pp. 212-215

On the number of k-faces of primitive parallelohedra

Boris Zhilinskii

Boris Zhilinskii

Université du Littoral Côte d'Opale, MREI 2, 189 A avenue M. Schumann, Dunkerque, 59140, France

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First published: 03 February 2015
Boris Zhilinskii, e-mail: [email protected]

Abstract

Dehn–Sommerville relations for simple (simplicial) polytopes are applied to primitive parallelohedra. New restrictions on numbers of k-faces of non-principal primitive parallelohedra are explicitly formulated for five-, six- and seven-dimensional parallelohedra.

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