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 ...

Debates over how geometry is understood and learned date back at least to the days of Plato, with more recent scholars ...

If you’re looking to rub elbows with the who’s who of mathematics before they hit the big time, look no further than the International Math Olympiad (IMO). In essence, IMO is a benchmark for students ...

This originally appeared in the July/August issue of Discover magazine as "Your Hyperbolic Mind." Support our science journalism by becoming a subscriber. The human brain is both a marvel and a ...