If you don't feel like sitting around watching the telly this Christmas, then get creative with our advent calendar!

Here's a game: pick a positive natural number and if yours is the smallest number no one else has picked, you win. What's the best strategy?

A bump in the data from the LHC promises exciting news.

A famous question involving networks appears to have come closer to an answer.

What does packing balls in higher dimensions have to do with getting your message across?

How understanding why something is impossible can often lead to deeper understanding, contemplations of philosophy and even new mathematics.

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