New Upper Bounds on Sphere Packings I.

Cohn, H., & Elkies, N. (2003). New Upper Bounds on Sphere Packings I. Annals of Mathematics, 157(2), 689-714.

Type

Journal article

Intellectual base

Primary research

Year

2003

DOI

10.4007/annals.2003.157.689

Link

https://doi.org/10.4007/annals.2003.157.689

Cited by

1 citation across 1 artifact.

Domain-specific

• Sphere packing
  • The face-centered cubic and hexagonal close packings attain \(\pi/\sqrt{18}\) in three dimensions; Hales proved no congruent-ball packing in Euclidean three-space is denser, but that theorem does not determine every finite-container, unequal-radius, or higher-dimensional case.

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