Belt distance between facets of space-filling zonotopes

DOI10.1134/S0001434612090064zbMath1275.52012arXiv1010.1698MaRDI QIDQ1929768

Alexey I. Garber

Publication date: 9 January 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1698

zbMATH Keywords

zonotopesparallelohedronVoronoi's conjecturebelt diameter

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) (n)-dimensional polytopes (52B11) Special polytopes (linear programming, centrally symmetric, etc.) (52B12)

Cites Work

• Unnamed Item
• Zonotopes, dicings, and Voronoi's conjecture on parallelohedra
• The contraction types of parallelohedra inE⁵
• Convex bodies which tile space by translation
• Space‐filling zonotopes
• Space tiling zonotopes

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