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 of team fresh. Check out more at: http://hd-fractals.com --- Music: Alan Stewart. Support him at http://bit.ly/1sdwTHF Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Google Plus: http://bit.ly/numberGplus Tumblr: http://numberphile.tumblr.com Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brown papers: http://bit.ly/brownpapers A run-down of Brady's channels: http://bit.ly/bradychannels