The complete classification of five-dimensional Dirichlet–Voronoi polyhedra of translational lattices

DOI10.1107/S2053273316011682zbMath1370.82063arXiv1507.00238WikidataQ50554606 ScholiaQ50554606MaRDI QIDQ5359380

Mathieu Dutour Sikirić, Achill Schürmann, Clara Waldmann, Alexey I. Garber

Publication date: 22 September 2017

Published in: Acta Crystallographica Section A Foundations and Advances (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.00238

zbMATH Keywords

combinatorial enumerationDelaunay polytopeaffine typescontraction typesDirichlet-Voronoi polytopesecondary conestopological mass formula

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25)

Related Items (9)

Iso edge domains ⋮ Periodic triangulations of \(\mathbb{Z}^{n}\) ⋮ On Combinatorics of Voronoi Polytopes for Perturbations of the Dual Root Lattices ⋮ Schottky algorithms: Classical meets tropical ⋮ On the Voronoi Conjecture for Combinatorially Voronoi Parallelohedra in Dimension 5 ⋮ The hypermetric cone and polytope on eight vertices and some generalizations ⋮ Characterization of the Two-Dimensional Fivefold Translative Tiles ⋮ Multiple Lattice Tilings in Euclidean Spaces ⋮ Characterization of the three-dimensional multiple translative tiles

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