Uniqueness of lattice packings and coverings of extreme density

DOI10.1515/ADVGEOM.2011.024zbMath1230.52030MaRDI QIDQ3096810

Peter M. Gruber

Publication date: 14 November 2011

Published in: advg (Search for Journal in Brave)

zbMATH Keywords

uniquenessconvex bodylattice packingextreme latticelattice coveringBaire categoriesextreme density

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Combinatorial aspects of packing and covering (05B40)

Related Items (5)

Application of an idea of Voronoĭ to lattice packing, supplement ⋮ An incremental-iterative method for modeling damage evolution in voxel-based microstructure models ⋮ Lattice packing and covering of convex bodies ⋮ Application of an idea of Voronoĭ to lattice packing ⋮ Application of an idea of Voronoĭ to lattice zeta functions

Cites Work

• Minimal ellipsoids and their duals
• Über die dichteste gitterförmige Lagerung kongruenter Bereiche in der Ebene und eine besondere Art konvexer Kurven

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