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On the number of k ‐faces of primitive parallelohedra
Author(s) -
Zhilinskii Boris
Publication year - 2015
Publication title -
acta crystallographica section a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.742
H-Index - 83
ISSN - 2053-2733
DOI - 10.1107/s205327331402806x
Subject(s) - combinatorics , mathematics
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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