Why (some) physicists want to modify Einstein's general theory of relativity.

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?

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.

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

There's no doubt that information is power, but could it be converted into physical energy you could heat a room with or run a machine on? In the 19th century James Clerk Maxwell invented a hypothetical being — a "demon" — that seemed to be able to do just that. The problem was that the little devil blatantly contravened the laws of physics. What is Maxwell's demon and how was it resolved?

A Gömböc is a strange thing. It wriggles and rolls around with an apparent will of its own. Until quite recently, no-one knew whether Gömböcs even existed. Even now, Gábor Domokos, one of their discoverers, reckons that in some sense they barely exists at all.

Geometric hallucinations are very common: people get them after taking drugs, following sensory deprivation, or even after rubbing their eyes. What can they tell us about how our brain works?