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.
A beautiful argument to show that all parabolae are similar.
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...