Featuring Ben Sparks discussing the Mandelbrot Set (and Julia Sets). Catch a more in-depth interview with Ben on our Numberphile Podcast: https://www.youtube.com/watch?v=-tGni9ObJWk More links & stuff in full description below ↓↓↓ More videos with Ben: http://bit.ly/Sparks_Playlist Ben Sparks website: https://www.bensparks.co.uk/ And on Twitter: https://twitter.com/sparksmaths Holly Krieger has done a few Mandelbrot videos on Numberphile... The Mandelbrot Set: https://www.youtube.com/watch?v=NGMRB4O922I 63 and -7/4 are special: https://www.youtube.com/watch?v=09JslnY7W_k Pi and the Mandelbrot Set: https://www.youtube.com/watch?v=d0vY0CKYhPY Fibonacci Numbers hidden in the Mandelbrot Set: https://www.youtube.com/watch?v=4LQvjSf6SSw Filled Julia Set: https://www.youtube.com/watch?v=oCkQ7WK7vuY Ben was using Geogebra software: https://www.geogebra.org/ Files from this video: https://www.geogebra.org/m/BUVhcRSv Ben explains how he made the Geogebra files on his channel here: https://www.youtube.com/watch?v=ICqj7nJbiRI (part 1) and here: https://www.youtube.com/watch?v=3BXoNOahFJk (part 2) He mentioned the book Chaos by James Gleick: https://amzn.to/2vj8ubP Golden Spiral T-Shirt available in the Numberphile Teespring store: null 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. https://www.simonsfoundation.org/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.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 Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: 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