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What is 1-1+1-1+1-1+...? How infinite sums challenge our notion of arithmetic.

Our image of the week is made of 2000 line segments.

How to write down unimaginably large numbers using just a few symbols.

In this year's advent calendar we bring you some of our favourite books and other mathematical toys, so you can surprise your friends and family or, even better, yourself!

Our image of the week shows mathematical street art.

Our images of the week show the amazing snow art created by Simon Beck.

Why maths is an important tool in the fight against Ebola.

Why do we add fractions the way we do? A very close look at addition reveals the answer — and it also works for negative numbers.

Given there's a finite number of notes on a scale, can we still find a brand new melody? Perhaps they've all been written already!

Why there is a limit to how much better computer chips can get and what it's got to do with black holes.

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