Self-packing of centrally symmetric convex bodies in \(\mathbb{R}{}^ 2\)

DOI10.1007/BF02293042zbMath0756.52016OpenAlexW2072928961MaRDI QIDQ1193705

S. Singh

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf02293042

zbMATH Keywords

unit ball2-dimensional Minkowski spaceself-packing radius

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15)

Related Items (12)

Covering the boundary of a convex body with its smaller homothetic copies ⋮ Large triangles contained in the unit disk of a Minkowski plane ⋮ Simultaneous packing and covering in sequence spaces ⋮ On the relative distances of eleven points in the boundary of a plane convex body ⋮ Covering unit spheres and balls of normed spaces by smaller balls ⋮ Low-degree minimal spanning trees in normed spaces ⋮ The geometry of Minkowski spaces -- a survey. I ⋮ On a conjecture about nine points in the boundary of a plane convex body at pairwise relative distances not greater than \({4 \sin \frac{\pi}{18}}\) ⋮ On the relative distances of nine points in the boundary of a plane convex body ⋮ Approximation of convex sets by polytopes ⋮ On the relative distances of nine or ten points in the boundary of a plane convex body ⋮ Halving circular arcs in normed planes

Cites Work

• Abschätzungen für die Anzahl der konvexen Körper, die einen konvexen Körper berühren
• An inequality in the geometry of numbers
• Double-lattice packings of convex bodies in the plane
• Paired calibrations applied to soap films, immiscible fluids, and surfaces or networks minimizing other norms
• On tightest packings in the Minkowski plane
• The closest packing of convex two-dimensional domains
• The theorem of Minkowski-Hlawka
• Modern developments in the geometry of numbers
• The Slackness of Finite Packings in E 2
• The Steiner ratio conjecture of Gilbert and Pollak is true.
• The Isoperimetric Problem in the Minkowski Plane
• A Property of Minkowskian Circles
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