Sphere Packing

A sphere packing is an arrangement of non-overlapping spheres, usually of identical size, within a containing space, most commonly three-dimensional Euclidean space; the problem generalizes to circle packing in two dimensions, hypersphere packing in higher dimensions, and non-Euclidean spaces. A typical sphere packing problem asks for the arrangement that fills as much of the space as possible, measured by its packing density. For equal spheres in three dimensions the densest possible packing fills approximately 74 percent of the volume, while a random packing of equal spheres typically reaches only about 63.5 percent. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/