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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!

"A remarkable possibility is that the entire universe is compact and connected. In other words, if we were to launch a spaceship from Earth and fly in as straight a line as possible, we could find ourselves returning home. As we see the Earth receding in the distance behind us, we might also see it growing nearer in front of us."

"Even if the universe is compact, it may well be too huge for us to see all the way around. In the meantime, we can't be sure if those are all new galaxies on the horizon, or if it really is ourselves we see at the observable edge of the universe."

I am just a regular guy so people never listen to what I say. But I have been making both of these points for years. On the surface, they just seem logical. I think the galaxies are traveling in circles, but the circle is so huge that we think it is a straight line. And it takes so long to get back to where you started that you may never get back. But new galaxies come into being and continue the journey.