Spheres and sausages, crystals and catastrophes -- and a joint packing theory

DOI10.1007/BF03024394zbMath0928.52011OpenAlexW2081494436MaRDI QIDQ1272417

Jörg M. Wills

Publication date: 9 January 2000

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03024394

zbMATH Keywords

spherespackingcatastrophesausages

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Research exposition (monographs, survey articles) pertaining to convex and discrete geometry (52-02)

Cites Work

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• On large lattice packings of spheres
• Das Wills'sche Funktional
• Penny-packing and two-dimensional codes
• Finite sphere packings and critical radii
• Periodic sphere packings and the Wulff-shape
• Sausages are good packings
• Minimal-energy clusters of hard spheres
• Strange phenomena in convex and discrete geometry. Ed. by James J. Dudziak
• An inequality relating volume, area and number of lattice points of convex sets in \(n\)-dimensional Euclidean space
• On the sausage catastrophe in 4‐space
• Lattice packing of spheres and the Wulff‐Shape

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