Double-lattice packings of convex bodies in the plane

DOI10.1007/BF02187800zbMath0709.52007MaRDI QIDQ921597

Greg Kuperberg, Włodzimierz Kuperberg

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/131127

zbMATH Keywords

convex plane bodydouble-lattice packing of the plane

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Lattice packing and covering (number-theoretic aspects) (11H31)

Related Items (13)

The local optimality of the double lattice packing ⋮ The set of packing and covering densities of convex disks ⋮ Covering the \(k\)-skeleton of the 3-dimensional unit cube by five balls ⋮ Packing, covering and tiling in two-dimensional spaces ⋮ Nondispersal and Density Properties of Infinite Packings ⋮ Heuristic approaches to large-scale periodic packing of irregular shapes on a rectangular sheet ⋮ Self-packing of centrally symmetric convex bodies in \(\mathbb{R}{}^ 2\) ⋮ Pessimal packing shapes ⋮ Dense periodic packings of tetrahedra with small repeating units ⋮ Covering the \(k\)-skeleton of the 3-dimensional unit cube by six balls ⋮ A method of optimal lattice packing of congruent oriented polygons in the plane ⋮ A density bound for efficient packings of 3‐space with centrally symmetric convex bodies ⋮ Densest translational lattice packing of non-convex polygons

Cites Work

• Packing convex bodies in the plane with density greater than 3/4
• The closest packing of convex two-dimensional domains
• The theorem of Minkowski-Hlawka
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