The sphere packing problem in dimension 8

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Maryna Viazovska This is my paper · ORCID

classification math.NTmath.MG

keywords packingballsdensitydimensioneuclideangreaterlatticemathbb

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abstract

In this paper we prove that no packing of unit balls in Euclidean space $\mathbb{R}^8$ has density greater than that of the $E_8$-lattice packing.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Variations on five-dimensional sphere packings
math.MG 2024-12 accept novelty 7.0 of 10

New non-isometric kissing configurations are constructed in dimensions 5 and 9, and the uniform 5D packings containing the known kissing configurations are classified.