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 ...

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 ...

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 ...