What's so special about the Mandelbrot Set? - Numberphile

Featuring Ben Sparks discussing the Mandelbrot Set (and Julia Sets). Catch a more in-depth interview with Ben on our Numberphile Podcast:    • The Happy Twin (with Ben Sparks) - Numberp...   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:   / sparksmaths   Holly Krieger has done a few Mandelbrot videos on Numberphile... The Mandelbrot Set:    • The Mandelbrot Set - Numberphile   63 and -7/4 are special:    • 63 and -7/4 are special - Numberphile   Pi and the Mandelbrot Set:    • Pi and the Mandelbrot Set - Numberphile   Fibonacci Numbers hidden in the Mandelbrot Set:    • Fibonacci Numbers hidden in the Mandelbrot...   Filled Julia Set:    • Filled Julia Set   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:    • Julia Sets and Orbits of Complex Iteration...   (part 1) and here:    • Mandelbrot Orbits and the Mandelbrot Set -...   (part 2) He mentioned the book Chaos by James Gleick: https://amzn.to/2vj8ubP Golden Spiral T-Shirt available in the Numberphile Teespring store: https://teespring.com/stores/numberphile 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/outr... And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook:   / numberphile   Numberphile tweets:   / numberphile   Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon:   / numberphile   Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit:   / bradyharan   Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9