Artificial intelligence has formally verified the prizewinning proof that solved the sphere packing problem in eight dimensions, a result closely tied to Maryna Viazovska’s Fields Medal. The ...

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 ...

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 ...