 Sphere packing in a cube

Sphere packing in a cube refers to the arrangement of non-overlapping spheres within a cube in such a way that optimizes the use of space. The goal is to maximize the number of spheres that can fit inside the cube while keeping them from intersecting. The most efficient known packing arrangement in three-dimensional space is called the face-centered cubic (FCC) or hexagonal close packing (HCP), which achieves a packing density of about 74.05%. This means that approximately 74.