\(12\)-neighbour packings of unit balls in \(\mathbb{E}^3\)

DOI10.1007/s10474-015-0527-4zbMath1363.52016OpenAlexW1038884320MaRDI QIDQ343229

Mohammad Hasan, M. Dambrine

Publication date: 25 November 2016

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-015-0527-4

zbMATH Keywords

discrete geometry\(12\)-neighbour packingsFejes Tóth's conjecture

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Combinatorial aspects of packing and covering (05B40)

Related Items (2)

\(\varepsilon\)-quasi-twelve-neighbour packings of unit balls in \({\mathbb E}^3\) ⋮ Towards a proof of the 24-cell conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• The strong thirteen spheres problem
• The Strong Dodecahedral Conjecture and Fejes Tóth’s Conjecture on Sphere Packings with Kissing Number Twelve
• New upper bounds for kissing numbers from semidefinite programming
• On the Densest Packing of Spherical Caps
• Research problems

This page was built for publication: \(12\)-neighbour packings of unit balls in \(\mathbb{E}^3\)