Two mathematicians have proved that a straightforward question—how hard is it to untie a knot?—has a complicated answer.

Physics can feel inscrutable to students; this lesson helps them understand a graphing problem by analyzing their own ...

This 180-sided object cannot fit through another like it, no matter where you bore the hole or how you tilt it.

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation ...

There are many purposes that spots and stripes serve in nature, but how they form has been more of a mystery to scientists.

A sophisticated analysis of experimental ARPES data confirmed that the electronic properties of each chain are truly one-dimensional, and calculations further predict an exciting phase transition. For ...