Computer generated movies and electronic games: Joan Lasenby tells us about the mathematics and engineering behind them.
Plus went to see members of Norman Foster's group of architects to learn about the maths behind architecture.
Winner of the general public category. Enormous is the right word: this theorem's proof spans over 10,000 pages in 500 journal articles and no-one today understands all its details. So what does the theorem say? Richard Elwes has a short and sweet introduction.
What goes up must come down — or does it? Find out how to cheat gravity with Julian Havil.
You've probably seen pictures of the famed Mandelbrot set and its mysterious cousins, the Julia sets. In this article Robert L. Devaney explores the maths behind these beauties and shows that they're loaded with mathematical meaning.
Learn about the aerodynamics of footballs and perfect your free kick.
How to keep up the suspense
Groups are some of the most fundamental objects in maths. Take a system of interacting objects and strip it to the bone to see what makes it tick, and very often you're faced with a group. Colva Roney-Dougal takes us into their abstract world and puzzles over a game of Solitaire.