In the game of Nim one player always has a winning strategy — it depends on an unusual way of adding numbers.

It's one of the most beautiful sights in nature: fireflies illuminating the night with their synchronised flashing. Mathematicians have just solved a 40 year-old problem behind this striking phenomenon.

Asking good questions is an important part of doing maths. But what makes a good question?

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.

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?

Like spirals and flowers? Then you'll love polar coordinates and the pretty pictures they allow you to draw!

By the 1970s physicists had successfully tamed three of the fundamental forces using a sophisticated construct called quantum field theory. The trouble was that the framework seemed to fall apart when you looked at very high or very low energy scales. So how could these be thought of as valid theories? It's a question physicists are still grappling with today.