Famously beautiful, the Mandelbrot Set is all about complex numbers. Featuring Dr Holly Krieger from MIT. More links & stuff in full description below ↓↓↓ The next part is on Numberphile2 at: Animation courtesy of team fresh. Check out more at: --- Music: Alan Stewart. Support him at More videos with Holly Krieger: Since this was filmed, Holly has become a mathematics Lecturer at the University of Cambridge and the Corfield Fellow at Murray Edwards College. Support us on Patreon: NUMBERPHILE Website: Numberphile on Facebook: Numberphile tweets: Subscribe: Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): Videos by Brady Haran Brady's videos subreddit: Brady's latest videos across all channels: Sign up for (occasional) emails: Numberphile T-Shirts: Other merchandise: