Erica Klarreich

Three mathematicians have resolved a fundamental question about straight paths on the 12-sided Platonic solid.

To distinguish between fundamentally different objects, mathematicians turn to invariants that encode the objects’ essential features.

A simple, step-by-step breakdown of two “perfect” math proofs.

László Babai has fixed the flaw in his retracted claim.

The legendary graph isomorphism problem may be harder than a 2015 result seemed to suggest.

When divvying something up, there’s more than one way to define what’s fair.