Folding a piece of paper in half might be easy, but what about into thirds, fifths, or thirteenths? Here is a simple and exact way for fold any fraction, all thanks to the maths of triangles.

To celebrate the release of more English translations of Einstein's papers, we revisit one of his previously unknown models of the Universe.

How to solve an ancient problem in a few folds.

How to never lose when playing tic-tac-toe the other way around.

Why game theory is a serious business.

If there has been one overarching theme at this ICM, it's just how creative a subject mathematics is.

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.

Patterns and structures lie at the heart of mathematics, some even say they are mathematics. But how do they help us do mathematics?

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