The 3-ball is a local pessimum for packing

DOI10.1016/j.aim.2014.07.015zbMath1298.52018arXiv1212.2551OpenAlexW2031171639WikidataQ56002676 ScholiaQ56002676MaRDI QIDQ400987

Yoav Kallus

Publication date: 26 August 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2551

zbMATH Keywords

latticespherical harmonicspackingconvex bodyLeech latticesphere packingcentrally symmetricpessimum

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31)

Related Items (3)

The local optimality of the double lattice packing ⋮ Pessimal packing shapes ⋮ When is the ball a local pessimum for covering?

Uses Software

• kepler98

Cites Work

• Optimality and uniqueness of the Leech lattice among lattices
• Reinhardt's problem of lattice packings of convex domains: Local extremality of the Reinhardt octagon
• A note on optimal unimodular lattices
• A proof of the Kepler conjecture
• Convolutions and multiplier transformations of convex bodies
• Convex and Discrete Geometry
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