In the game of Nim one player always has a winning strategy — it depends on an unusual way of adding numbers.
Asking good questions is an important part of doing maths. But what makes a good question?
Sometimes a piece of maths can be so neat and elegant, it makes you want to shout "eureka!" even if you haven't produced it yourself. One of our favourite examples is the art gallery problem.
The paths of billiard balls on a table can be long and complicated. To understand them mathematicians use a beautiful trick, turning tables into surfaces.
We might have found the Higgs boson, but the search for new physics at the LHC isn't over yet.
If you thought that billiards was a harmless game to play in the pub, think again. It's a breeding ground for chaos!
Interalia is a show by Turner Prize winning artist Grenville Davey and theoretical physicist David Berman.
The natural numbers, 1, 2, 3, 4, ..., are nice. So what could be nicer than discovering interesting patterns within them?