Geometry is power

If you've ever redecorated a bathroom, you'll know that there are only so many ways in which you can tile a flat plane. But once you move into the curved world of hyperbolic geometry, possibilities become endless and the most amazing fractal structures ensue. Caroline Series and David Wright give a short introduction to the maths behind their beautiful images.

One of the many strange ideas from quantum mechanics is that space isn't continuous but consists of tiny chunks. Ordinary geometry is useless when it comes to dealing with such a space, but algebra makes it possible to come up with a model of spacetime that might do the trick. And it can all be tested by a satellite. Shahn Majid met up with Plus to explain.

You might know the famous formula for an area of a circle, but why does this formula work? Tom Körner's explanation really is a piece of cake, served up with a hefty estimate of pi.

Mathematicians offer new proof of quasicrystals' strange electronic properties.

We may not have found life out there, but there is a hexagon on Saturn.

Leonhard Euler was one of the most prolific mathematicians of all time. This year marks the 300th anniversary of his birth. Robin Wilson starts off a four part series on Euler with a look at his life and work.

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.

Runner up in the schools category. Dusty books, chalky blackboards and checked shirts are all things usually associated with maths. But according to Jonathan Tims, pubs, hot chocolate and cats can be far more inspirational. Join him on a trip through shadow land.

A public discussion explores deep questions

Van Gogh paintings mimic the physics that governs turbulence