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 ...

Surfaces that can be represented by equations of degree two – spheres, ellipsoids, paraboloids, hyperboloids, and cones – have long been discussed in courses on descriptive and solid geometry, ...

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 ...