Captions provided by CCTubes – Captioning the Internet! With Dr Holly Krieger from Murray Edwards College, University of Cambridge.
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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
And more from Bob: http://math.bu.edu/DYSYS/FRACGEOM2/FRACGEOM2.html
If checking out https://brilliant.org/Numberphile —
Try the complex algebra course at https://brilliant.org/courses/complex-algebra/
(after using our Numberphile URL, of course!)
Editing and animation by Pete McPartlan
Farey Sums: https://youtu.be/0hlvhQZIOQw
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