Fibonacci and Mandelbrot

Additional information

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

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 http://bit.ly/Brilliant_Complex

Editing and animation by Pete McPartlan

Farey Sums: https://youtu.be/0hlvhQZIOQw