Geometry

Transcendental numbers include famous examples like e and π, but it took mathematicians centuries to understand them.

By treating molecules as geometric tessellations, scientists devised a new way to forecast how 2D materials might self-assemble.

Simple math can help explain the complexities of the newly discovered aperiodic monotile.

In all bilaterally symmetrical animals, from humans down to simple worms, nerves cross from one side of the body to the opposite side of the brain. Geometry may explain why.

So-called “higher symmetries” are illuminating everything from particle decays to the behavior of complex quantum systems.

The surprisingly simple tile is the first single, connected tile that can fill the entire plane in a pattern that never repeats — and can’t be made to fill it in a repeating way.

The prize-winning geometer feels most fulfilled when exploring the fertile ground where constraint meets creation.

Can mathematics handle things that are essentially the same without being exactly equal? Category theorist Eugenia Cheng and host Steven Strogatz discuss the power and pleasures of abstraction.

Lek-Heng Lim uses tools from algebra, geometry and topology to answer questions in machine learning.