Mathematics

The Ukrainian mathematician Maryna Viazovska has solved the centuries-old sphere-packing problem in dimensions eight and 24.

For four game show variations of the hat puzzle, four clever ways to earn a better payoff than you might expect.

A previously unnoticed property of prime numbers seems to violate a long-standing assumption about how they behave.

In three new variations of a famous logic puzzle, what are the best strategies for guessing the color of the hat on your head?

At 86, Britain’s preeminent mathematical matchmaker is still tackling the big questions and dreaming of a union between the quantum and the gravitational forces.

Assigning elements from a large collection to one of two categories can yield almost “magical” predictions about highly complicated problems without actually solving them.

In a geometrically designed social club, how do dancing, triangles and hexagons mix?

The solution to this month’s puzzle gets to the bottom of the famously ambiguous Sleeping Beauty probability problem.

Like a visually ambiguous Necker cube, the famous Sleeping Beauty problem can be perceived in two seemingly valid ways.