In this year's advent calendar we revisit some of our favourite episode of our *Maths on the move* podcast. From the maths of chocolate to the maths of music, there's something here for everyone!

As COP28, the 2023 United Nations Climate Change Conference, kicks off we look at how maths can help understand the climate crisis.

Don't like plant-based meat alternatives, but want to spare animals and the environment? There's hope on the horizon, aided by a good helping of maths.

We guide you through an exciting recent breakthrough in the world of topology, involving something called the telescope conjecture.

Andrew Wiles's proof of Fermat's Last Theorem solved a centuries-old problem by opening a door onto the future of mathematics.

How can maths help to understand the Southern Ocean, a vital component of the Earth's climate system?

Predicting the weather is hard. But with more data and computing power becoming available, artificial intelligence may be able to help.

If a shape has equal sides with 90 degree angles between them then it's a square, right? Well, not quite...