"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 ...

Mathematicians attempting to build a “periodic table” of shapes have turned to artificial intelligence for help – but say they don’t understand how it works or whether it can be 100 per cent reliable.

This rippling structure may look like a piece of origami, or an intricate scarf. In fact, it is geometry’s answer to the atom because it can’t be broken down into smaller components. Inspired by ...