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How is frequency related to pitch? Hear the music we love emerge from pure mathematical beats.

We talk to Stuart Johnston who uses mathematics to find out how noise pollution in the oceans impacts whales.

Generating electricity without the use of fossil fuels is not just an engineering and industrial challenge, it is also a huge mathematical challenge.

In this podcast author Coralie Colmez shares insights into her novel

*The irrational diary of Clara Valentine*.We talk to early career mathematicians who spent some of their summer holiday solving problems posed by industry — such as how to blend a perfect smoothie!

Don't worry, they work!

You have to understand that these are the "irreducible folds" of origami, so IF THEY ARE POSSIBLE you can just make them without any extra explanation as to how or why they are possible. The last few are to some people unintuitive without a practical demonstration, which is why it is useful to have a list like this.

A person might challenge a folding step which instructs you to fold in a certain way, saying it is inexact or not unique, but then all you need to do is quote the axiom that corrects them.