The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new ...

In 2015, Pedro Reis, a mechanical engineer at the Massachusetts Institute of Technology, described physical laws for the geometric patterns that form on deflated silicon balls.

Test your knowledge of taxicab geometry, triangular numbers, the golden ratio and more.

The intricate geometric patterns of Islamic art are not only visually stunning, they’re also some of the earliest examples of algorithmic art.Artisans would generate patterns through a step-by ...