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 ...

How to safely reopen offices, schools and other public spaces while keeping people six feet apart comes down to a question mathematicians have been studying for centuries. Sphere packing might seem ...

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 ...