The second Voronoi conjecture on parallelohedra for zonotopes

Published 3 Apr 2011 in math.CO and math.MG | (1104.0401v2)

Abstract: We prove the second Voronoi conjecture on parallelohedra for zonotope. We show that for a given face-to-face tiling of d-dimensional Euclidean space into parallel copies of zonotope Z there are d vectors, connecting centers of zonotopes with common facet, that are basis of the correspondent lattice of the tiling.

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Authors (1)

Alexey Garber

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