Properties of parallelotopes equivalent to Voronoi's conjecture

DOI10.1016/j.ejc.2003.09.012zbMath1057.52012arXivmath/0307170OpenAlexW2003142352WikidataQ122961922 ScholiaQ122961922MaRDI QIDQ1826969

Viatcheslav Grishukhin, Michel Marie Deza

Publication date: 6 August 2004

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307170

zbMATH Keywords

tilingparallelotopeVoronoi polytope

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items

On the tropical Torelli map, An analog of Ordin’s theorem for parallelotopes, On the Voronoi Conjecture for Combinatorially Voronoi Parallelohedra in Dimension 5, Geometry of lifts of tilings of Euclidean spaces, Voronoi conjecture for special free parallelotopes, Uniquely scaled dual cells, The Voronoi conjecture for parallelohedra with simply connected \(\delta\)-surfaces

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