On the number of k-faces of primitive parallelohedra.
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.
Université du Littoral Côte d'Opale, MREI 2, 189 A avenue M. Schumann, Dunkerque, 59140, France.
Boris
B
Zhilinskii
Dehn–Sommerville relations; primitive parallelohedra; simple polytopes