"Hearst Magazines and Yahoo may earn commission or revenue on some items through these links." Fano varieties are known as the basic “atomic structure” of geometry, but are notoriously difficult to ...

Hidden Fibonacci numbers, a new shape and the search for a grand unified theory of mathematics are among our choices for most ...

How few corners can a shape have and still tile the plane?” mathematician Gábor Domokos asked me over pizza. His deceptively simple question was about the geometry of tilings, also called ...

Visually, the “Klein bottle” doesn’t seem all that impressive. To understand why, we have to travel far back to the ancient ...

Fractal geometry is a field of math born in the 1970s and mainly developed by Benoit Mandelbrot. If you’ve already heard of fractals, you’ve probably seen the picture above. It’s called the Mandelbrot ...