The Strong Dodecahedral Conjecture and Fejes Tóth’s Conjecture on Sphere Packings with Kissing Number Twelve

DOI10.1007/978-3-319-00200-2_8zbMath1281.52013arXiv1110.0402OpenAlexW1535954744MaRDI QIDQ2848996

Thomas C. Hales

Publication date: 13 September 2013

Published in: Discrete Geometry and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0402

zbMATH Keywords

Voronoi celldiscrete geometryFejes Tóth's conjecture3-dimensional Euclidean sphere packingsBezdek's strong dodecahedral conjecture

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Related Items (3)

\(12\)-neighbour packings of unit balls in \(\mathbb{E}^3\) ⋮ On the total perimeter of homothetic convex bodies in a convex container ⋮ Exploiting Symmetries in Polyhedral Computations

Uses Software

• Flyspeck
• kepler98
• Tame Graphs

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