four-colour theorem
It's one of mathematics' most famous results: every "map" can be coloured using at most four colours. What it doesn't usually apply to, however, are real maps.
Asking good questions is an important part of doing maths. But what makes a good question?
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Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.
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!