ON A STRONG VERSION OF THE KEPLER CONJECTURE

DOI10.1112/S0025579312001039zbMath1260.05032arXiv1111.3092OpenAlexW2153440815WikidataQ123116165 ScholiaQ123116165MaRDI QIDQ4911022

Károly Bezdek

Publication date: 13 March 2013

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3092

zbMATH Keywords

densest sphere packing problem

Mathematics Subject Classification ID

Isoperimetric problems for polytopes (52B60) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Combinatorial aspects of packing and covering (05B40)

Related Items (1)

On the total perimeter of homothetic convex bodies in a convex container

Cites Work

• Unnamed Item
• A formulation of the Kepler conjecture
• Sphere packings. III: Extremal cases
• Sphere packings. IV: Detailed bounds
• Sphere packings. VI: Tame graphs and linear programs
• An extension of Jung's theorem
• On totally separable packings of equal balls
• A new lower bound on the surface area of a Voronoi polyhedron
• A proof of the Kepler conjecture
• Finding the best face on a Voronoi polyhedron -- the strong dodecahedral conjecture revisited
• THE TOTAL LENGTH OF THE EDGES OF A POLYHEDRON

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