With Dr Holly Krieger from Murray Edwards College, University of Cambridge.
Have a look at Brilliant (and get 20% off) here: https://brilliant.org/Numberphile
More Numberphile videos with Dr Krieger: http://bit.ly/HollyKrieger
Her Twitter: https://twitter.com/hollykrieger
Extra detail via Holly: Here's a link to an article (meant for a somewhat general audience) by Bob Devaney explaining the numbers of components, which are called periods: https://plus.maths.org/content/os/issue40/features/devaney/index
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