Maths is now an integral part in the study of evolution, describing how mutation and natural selection affect a reproducing population. And now maths has shown that it if you want to get ahead in the evolutionary race, it really does pay to be nice. We were lucky enough to visit the other Cambridge earlier this year to interview Professor Martin Nowak about the mathematics of altruism.

As we are having a little cake of our own today, we thought we'd look back on another great birthday celebration... Stephen Hawking's 70th birthday!

Hungry? Why not try one of Vi Hart's brilliant Tex Mex Hexaflexgons – maths has never tasted so good!

Are you reading this page because you decided to or because you were destined to from the start of time? Plus shares Mick's sentiment that we are free to do what we want, any old time. But what does physics and mathematics have to say about free will?

Make your childhood dreams come true and join the Paris Fire Brigade as part of the 2012-13 Mathematical Competitive Game.

A team of physicists have curbed the hope that quantum physics might be squared with common sense. At least if we want to hang on to Einstein's highly respected theory of relativity. Their result concerns what Einstein called "spooky action at a distance" and it may soon be possible to test their prediction in the lab.

Struggling to solve today's sudoku? Is your tried and tested method hitting a brick wall and you feel like you are going around in circles? New research might make you feel a bit better: you might not necessarily be stuck... perhaps you are just in a patch of transient chaos on your way to the solution.