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On the Optimality of the FCC Lattice for Soft Sphere Packing

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Publication:4610184
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DOI10.1137/16M1097201zbMath1383.05046OpenAlexW2795257408MaRDI QIDQ4610184

Mabel Iglesias-Ham, Herbert Edelsbrunner

Publication date: 6 April 2018

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1097201


zbMATH Keywords

packing and coveringBrillouin zonesVoronoi domainslattice configurationssoft density


Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Combinatorial aspects of packing and covering (05B40)


Related Items

Bounds for totally separable translative packings in the plane ⋮ Delaunay simplices in diagonally distorted lattices



Cites Work

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  • Density bounds for outer parallel domains of unit ball packings
  • Dual complexes of cubical subdivisions of \({\mathbb{R}}^{n}\)
  • Voronoi diagrams and arrangements
  • Covering and Packing with Spheres by Diagonal Distortion in ℝ n
  • Multiple packing and covering of spheres
  • A vector identity for the Dirichlet tessellation
  • Multiple packing and covering of the plane with circles
  • Über ein Kreisüberdeckungsproblem
  • On the volume of flowers in space forms
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