The Mandelbrot Set
Famously beautiful, the Mandelbrot Set is all about complex numbers. Featuring Dr Holly Krieger from MIT.
The next part is on Numberphile2 at: http://youtu.be/oCkQ7WK7vuY
Animation courtesy of team fresh. Check out more at: http://hd-fractals.com
Music: Alan Stewart. Support him at http://bit.ly/1sdwTHF
More videos with Holly Krieger: http://bit.ly/HollyKrieger
Since this was filmed, Holly has become a mathematics Lecturer at the University of Cambridge and the Corfield Fellow at Murray Edwards College.