Hancock, N.H. – Anyone faced with the task of building a freestanding pile of spheres quickly discovers an obvious solution: Start by laying out the densest possible two-dimensional packing and then ...

Mathematicians achieve a milestone in verifying the sphere-packing problem solution using Lean, enhancing proof reliability and formalisation efforts.

Circle packing encapsulates the challenge of optimally arranging a set of circles within a given container without overlap, a process that has profound implications in both theoretical mathematics and ...