A class of affinely equivalent Voronoi parallelohedra

DOI10.1134/S000143461405006XzbMath1316.52003MaRDI QIDQ2342022

A. A. Gavrilyuk

Publication date: 8 May 2015

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

zbMATH Keywords

affinely equivalent parallelohedraorbifold of Voronoi parallelohedraVenkov graphVenkov subgraphVoronoi parallelohedron

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

The Voronoi conjecture for parallelohedra with simply connected \(\delta\)-surfaces

Cites Work

• Unnamed Item
• Properties of faces of parallelohedra
• Zonotopes, dicings, and Voronoi's conjecture on parallelohedra
• An extension of Voronoï's theorem on primitive parallelotopes
• The extension theorem
• The Voronoi conjecture for parallelohedra with simply connected \(\delta\)-surfaces
• Parallelohedra: A retrospective and new results
• Affine Equivalent Classes of Parallelohedra
• Convex bodies which tile space by translation
• Lectures on Polytopes
• Polytopes with Centrally Symmetric Faces

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