Featuring Professor Holly Krieger. See https://brilliant.org/numberphile for Brilliant and 20% off their premium service & 30-day trial (episode sponsor). More links & stuff in full description below ↓↓↓ Professor Krieger discusses density of hyperbolicity, complex dynamics, iteration, and of course the Mandelbrot Set. Prof Krieger is Corfield Fellow at the University of Cambridge (Murray Edwards College): https://www.dpmms.cam.ac.uk/~hk439/ More videos with Holly:    • Holly Krieger on Numberphile   Ben Sparks on the Mandelbrot Set: https://www.youtube.com/watch?v=FFftmWSzgmk Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We're also supported by the Simons Laufer Mathematical Sciences Institute (formerly MSRI): http://bit.ly/MSRINumberphile Our thanks also to the Simons Foundation: https://www.simonsfoundation.org/ NUMBERPHILE 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 Video by Brady Haran & James Hennessy Numberphile T-Shirts and Merch: null 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