Fibonacci Numbers hidden in the Mandelbrot Set - Numberphile
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 Published On Oct 5, 2017

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/iss...
And more from Bob: http://math.bu.edu/DYSYS/FRACGEOM2/FR...

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Editing and animation by Pete McPartlan

Farey Sums:    • Funny Fractions and Ford Circles - Nu...  

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