Minimal 𝑁-point diameters and 𝑓-best-packing constants in ℝ^{𝕕}

DOI10.1090/S0002-9939-2013-11657-6zbMath1286.52008arXiv1204.4403OpenAlexW2764436331MaRDI QIDQ5401679

Andriy V. Bondarenko, Edward B. Saff, Douglas P. Hardin

Publication date: 11 March 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4403

zbMATH Keywords

best-packingoptimal configurationsmaximal sphere packing densityminimal \(n\)-point diameter

Mathematics Subject Classification ID

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

Uses Software

• kepler98

Cites Work

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• Minimal diameter of certain sets in the plane
• New upper bounds on sphere packings. I
• On extremal finite packings
• A proof of the Kepler conjecture
• On the closets packing of spheres in \(n\) dimensions
• Asymptotics of weighted best-packing on rectifiable sets
• Geometrical Extrema Suggested by a Lemma of Besicovitch

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