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

Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile

We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science.

Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub

Videos by Brady Haran

Patreon: http://www.patreon.com/numberphile

Brady’s videos subreddit: http://www.reddit.com/r/BradyHaran/

Brady’s latest videos across all channels: http://www.bradyharanblog.com/

Sign up for (occasional) emails: http://eepurl.com/YdjL9


Fibonacci Numbers hidden in the Mandelbrot Set – Numberphile

About The Author