# 43

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. |
Leonhard Euler, the most prolific mathematician of all time, would have celebrated his 300th birthday this year. In this article, the second in a four-part series on Euler and his work,
Abigail Kirk explores one of the formulae that carry his name. |