In normal life higher dimensions smack of science fiction, but in mathematics they are nothing out of the ordinary.

Having trouble with algebra? Then try these visual proofs of two well-known algebraic identities.

We talk to Maryna Viazovska, who in 2016 made a breakthrough in the theory of sphere packings.

How to arrange oranges in higher dimensions.

Escaping the tyranny of the straight line.

Need to find the least common multiple or greatest common divisor of two numbers? A billiard table of the right proportions holds the answers!

Can physics do for maths what maths has done for physics?

The great thing about geometry is that you can sometimes prove things using pictures. Enjoy these three great visual proofs of Pythagoras' theorem!

How will the Universe end? In a big crunch? Or a big freeze? It all depends on its shape...

How Heron of Alexandria missed his chance to explore the unknown mathematical land of complex numbers.