# geometry

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.

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

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.

Some basic trigonometry can deliver vital evidence from the scene of a crime.

The beautiful rose curve has an odd pattern to the number of its petals – this student and teacher team explain why...