Sphere packing, a mathematical problem in which non-overlapping spheres are arranged within a given space, has been widely investigated in the past. It has been proven that the densest possible ...

Mathematicians like to generalize concepts into higher dimensions. Sometimes this is easy. If you want to efficiently pack squares in two dimensions, you arrange them like a checkerboard. To squeeze ...

After just a few months of work, a complete newcomer to the world of sphere packing has solved one of its biggest open problems. In math, the search for optimal patterns never ends. The sphere-packing ...

A NUMERICAL approach using a digital computer has been used to construct a simple model of the unit cell in a randomly packed bed of identical hard spheres. The cell is built up by introducing spheres ...