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The contraction types of parallelohedra in \(E^5\). (English) Zbl 1188.52021
Summary: Using the process of zone contraction and its inverse, zone extension, the \(179\,372\) contraction types of parallelohedra in \(E^5\) are derived from the 84 combinatorial types of relatively or totally zone-contracted parallelohedra.

MSC:
52C22 Tilings in \(n\) dimensions (aspects of discrete geometry)
52B99 Polytopes and polyhedra
82D25 Statistical mechanics of crystals
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