In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

Introducing new math concepts via already-worked examples can give students a significant boost in learning. But choosing the right problems makes a big difference. An analysis earlier this year of ...

But now, two mathematician friends have used their quarantine time to crack a variation of the age-old geometry problem. They analyzed a set of loopy shapes called smooth, continuous curves to prove ...

Google researchers have developed an artificial intelligence (AI) math system that can out-smart gold medalists in international geometry competitions. The system, called "AlphaGeometry2" (AG2), is an ...