The dimensional family approach in (hyper)sphere packing: A typological study of new patterns, structures, and interdimensional functions

DOI10.1016/S0096-3003(97)00004-0zbMath0908.52007OpenAlexW2090852742MaRDI QIDQ1126592

S. H. Smith

Publication date: 8 October 1998

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(97)00004-0

zbMATH Keywords

topological invariantsEuclidean spacessphere packingcontact numbertangencydensity of centres

Mathematics Subject Classification ID

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

Related Items (3)

The three-dimensional knapsack problem with balancing constraints ⋮ Rigidity of spherical codes ⋮ Generation of tetrahedral mesh of variable element size by sphere packing over an unbounded 3D domain

Cites Work

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• Milnor numbers and the topology of polynomial hypersurfaces
• A construction of integral lattices
• An Extreme Duodenary Form

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