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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!

It is widely agreed that the design of the rotor and wiring system in the enigma resulted in the not so irrelevant error that a letter could not be coded into itself and hence gave a great help in using cribs.

However I thought that the plugboard would eradicate most of this error or perhaps I do not understand it correctly.

As an example assume A is connected on the plugboard to B. Now we know that B will be coded to some letter other than B itself. I assume it could be coded to A and hence pressing key A would light up A.

I would love to know the answer to this.

Regards Trevor Weaver

trevor_weaver@talktalk.net