On compact packings of Euclidean space with spheres of finitely many sizes

Eder Kikianty, Miek Messerschmidt

For $d\in \mathbb{N}$, a compact sphere packing of Euclidean space ${\mathbb{R}}^d$ is a set of spheres in ${\mathbb{R}}^d$ with disjoint interiors so that the contact hypergraph of…