Inequalities between lattice packing and covering densities of centrally symmetric plane convex bodies

DOI10.1007/s004540010068zbMath0986.52010OpenAlexW1980583519MaRDI QIDQ5944935

Dan P. Ismailescu

Publication date: 29 May 2002

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004540010068

zbMATH Keywords

inequalitiesdensest packingdensitycentrally symmetric plane convex bodiesthinnest covering

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (5)

The set of packing and covering densities of convex disks ⋮ Packing, covering and tiling in two-dimensional spaces ⋮ Packing and covering with centrally symmetric convex disks ⋮ On a relation between packing and covering densities of convex bodies ⋮ Functionals on the spaces of convex bodies

Cites Work

• Zur Lagerung kongruenter Körper im Raum
• An inequality linking packing and covering densities of plane convex bodies
• Über die dichteste gitterförmige Lagerung kongruenter Bereiche in der Ebene und eine besondere Art konvexer Kurven
• Existenzsätze für Lagerungen im Euklidischen Raum
• On lattice points in a convex decagon
• On the Lattice Constant of a Symmetric Convex Domain
• On minimum circumscribed polygons
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