Mathematicians have finally solved a geometry problem that has puzzled the field for decades. The question was proposed by Japanese mathematician Sōichi Kakeya in 1917. It sounds simple: How can you ...

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 ...

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 ...

The International Mathematical Olympiad (IMO) is a prestigious competition featuring talented high school students from around the world, in which competitors solve complicated mathematical problems.

The “moving sofa problem,” a puzzle that has remained unresolved since it was introduced in 1966 and memorably illustrated in the sitcom Friends, may finally have an answer. Baek Jin-eon, a ...