Free and nonfree Voronoi polyhedra

DOI10.1007/s11006-006-0147-yzbMath1114.52014OpenAlexW2084589501MaRDI QIDQ881109

Viatcheslav Grishukhin

Publication date: 21 May 2007

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

Full work available at URL: https://doi.org/10.1007/s11006-006-0147-y

zbMATH Keywords

quadratic formVoronoi polyhedronGram matrixMinkowski sumparallelohedronL-domainDelaunay polyhedron

Mathematics Subject Classification ID

Computational aspects related to convexity (52B55)

Related Items (5)

On the sum of a parallelotope and a zonotope ⋮ Exchanged toric developments and bounded remainder sets ⋮ Layer superposition of the root lattice \(A_n\) ⋮ Lifting of parallelohedra ⋮ The decomposition of the hypermetric cone into \(L\)-domains

Cites Work

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• On lattice dicing
• Rank 1 forms, closed zones and laminae.
• Delaunay polytopes of cut lattices
• Parallelotopes of non-zero width
• Non-rigidity degree of a lattice and rigid lattices

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