Fibonacci Numbers hidden in the Mandelbrot Set - Numberphile
by Super User, 2 weeks ago.
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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
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Super User uploaded a new media, Fibonacci Numbers hidden in the Mandelbrot Set - Numberphile
2 weeks ago.