From a smile to a line drawing by Picasso, curves bring great beauty to our world. But how curvy is a curve?
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?
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.
Free kicks will deliver much of the drama in the football world cup this summer. But how should strikers approach them and how does the design on the ball impact on its behaviour in flight? Maths can give us answers...