In 1611 German mathematician Johannes Kepler made a conjecture about the densest way to stack oranges or other spheres with a minimum of space between them. It seemed nothing could beat the standard ...

When mathematicians solved a famed sphere-packing problem in 2005, one that first had been posed by renowned mathematician and astronomer Johannes Kepler in 1611, it made worldwide headlines. Now, two ...

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 ...