A new lower bound for sphere packing

Marcelo Campos, Matthew Jenssen, Marcus Michelen +1

We show there exists a packing of identical spheres in ${\mathbb{R}}^d$ with density at least \[ (1-o(1))\frac{d \log d}{2^{d+1}}\, , \] as $d\to \infty$. This improves upon previous…