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An inequality linking packing and covering densities of plane convex bodies

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Publication:1819377
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DOI10.1007/BF00147391zbMath0613.52007MaRDI QIDQ1819377

Włodzimierz Kuperberg

Publication date: 1987

Published in: Geometriae Dedicata (Search for Journal in Brave)


zbMATH Keywords

densest packingdensityconvex bodythinnest covering


Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)


Related Items (9)

Uniformity of Point Samples in Metric Spaces Using Gap Ratio ⋮ The set of packing and covering densities of convex disks ⋮ Uniformity of Point Samples in Metric Spaces Using Gap Ratio ⋮ Piercing translates and homothets of a convex body ⋮ Packing, covering and tiling in two-dimensional spaces ⋮ Packing and covering with centrally symmetric convex disks ⋮ An improvement of an inequality linking packing and covering densities in 3-space ⋮ Inequalities between lattice packing and covering densities of centrally symmetric plane convex bodies ⋮ On a relation between packing and covering densities of convex bodies







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