Meet a fascinating thought experiment close to the speed of light.

The concept of homotopy is a great example of how the language of maths can make intuition precise.

This beautiful version of geometry was developed to keep track of things that move! Here's a very brief introduction.

Weird and wonderful things can happen when you set a ball in motion on a billiard table — and the theory of mathematical billiards has recently seen a breakthrough.

A fly on the ceiling inspired the coordinate system you might remember from school.

From trigonometry to waves.

If a shape has equal sides with 90 degree angles between them then it's a square, right? Well, not quite...

How big is the bird?

Viazovska is only the second woman to receive a Fields Medal, for her ground-breaking proof to a problem we're all familiar with.

Maryna Viazovska has won one of this year's Fields Medals for a ground-breaking result in the theory of sphere packings.

Flying a plane on a secret mission? Some basic geometry can help you avoid being captured by an adversary.

When it comes to doing maths, a picture can be worth a thousand equations.