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 ...

This is a preview. Log in through your library . Abstract The distribution of the volume occupied by random spheres in a cube is considered, both when the number of spheres is fixed and when their ...

High-dimensional spheres can have a much wider variety of structures than mathematicians thought possible. If you’ve ever been stuck in traffic on a rainy afternoon, you’ve probably watched raindrops ...