Why there are only three regular polygons you can tile a wall with.
What does packing balls in higher dimensions have to do with getting your message across?
A team of computer scientists has found a weakness in the world's most popular anonymity service.
In this excellent talk the mathematician Vicky Neale gives a fascinating and easy-to-follow introduction to the prime numbers.
Frustrated by airport queues? Missing the summer weather? Find solace at this year's festival.
How understanding why something is impossible can often lead to deeper understanding, contemplations of philosophy and even new mathematics.