In the Annals of Mathematics in 2009, Cohn and Kumar proved upper bounds in eight and 24 dimensions that come within a fraction of a percent of the densities of the E8 and Leech lattices, indicating that these are almost certainly the densest packings of spheres in their respective dimensions.
In the Annals of Mathematics in 2009
In the Annals of Mathematics in 2009, Cohn and Kumar proved upper bounds in eight and 24 dimensions that come within a fraction of a percent of the densities of the E8 and Leech lattices, indicating that these are almost certainly the densest packings of spheres in their respective dimensions.