The isodiametric problem with lattice-point constraints

DOI10.1007/s00605-008-0541-5zbMath1157.52003arXiv0709.2587OpenAlexW3102157685MaRDI QIDQ956673

María A. Hernández Cifre, Achill Schürmann, Frank Vallentin

Publication date: 25 November 2008

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2587

zbMATH Keywords

latticeconvex bodyDirichlet-Voronoi cellparallelohedronisodiametric problem

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• Convex bodies which tile space by translation
• Convex bodies which tile space by translation: Acknowledgement of priority
• Low-dimensional lattices. VI. Voronoi reduction of three-dimensional lattices
• An isodiametric problem with lattice-point constraints