Annals of Mathematics· 2017Q1
The sphere packing problem in dimension $8$
- 278citations
- Q1SCImago
- 2017year
Short summary
The E8-lattice provides the densest possible packing of unit balls in 8-dimensional Euclidean space.
AI-generated from the title and abstract; the full text is not read.
Key points
- The E8-lattice packing is proven to be the densest possible arrangement of unit balls in R-8.
- This result establishes a definitive solution to the sphere packing problem in 8 dimensions.
- The paper provides rigorous mathematical proof for this optimal packing density.
AI-generated from the title and abstract; the full text is not read.
Abstract
In this paper we prove that no packing of unit balls in Euclidean space R-8 has density greater than that of the E8-lattice packing.
The authors' abstract, as published at the source. Annals of Mathematics, 2017 · DOI ↗
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Field: Numerical Analysis
Numerical AnalysisMathematics