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An extension of Voronoï's theorem on primitive parallelotopes

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Publication:1345527
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DOI10.1016/0195-6698(95)90089-6zbMath0829.52013OpenAlexW2053086736MaRDI QIDQ1345527

S. S. Ryshkov, Marjorie Senechal, Louis Michel

Publication date: 8 March 1995

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

Full work available at URL: https://doi.org/10.1016/0195-6698(95)90089-6


zbMATH Keywords

Voronoi cellparallelotopetiling of Euclidean space


Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Polyhedra and polytopes; regular figures, division of spaces (51M20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)


Related Items (7)

On the tropical Torelli map ⋮ The Bilinski dodecahedron and assorted parallelohedra, zonohedra, monohedra, isozonohedra, and otherhedra ⋮ Properties of parallelotopes equivalent to Voronoi's conjecture ⋮ Parallelohedra: A retrospective and new results ⋮ Zonotopes, dicings, and Voronoi's conjecture on parallelohedra ⋮ A class of affinely equivalent Voronoi parallelohedra ⋮ Fullerenes and disk-fullerenes



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