Voronoĭ's conjecture and space tiling zonotopes

DOI10.1112/S0025579300015461zbMath1105.52007arXivmath/0203124WikidataQ123121519 ScholiaQ123121519MaRDI QIDQ5479472

Viatcheslav Grishukhin, Michel Marie Deza

Publication date: 10 July 2006

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203124

zbMATH Keywords

zonotopematroidparallelotopeVoronoi polytope

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

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Geometric bijections between spanning subgraphs and orientations of a graph, On the tropical Torelli map

Cites Work

• Zonotopes, dicings, and Voronoi's conjecture on parallelohedra
• On lattice dicing
• The contraction types of parallelohedra inE⁵