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Explore Combinatorics and Higher Dimensions - Numberphile with 227,129 views, 7,173 likes, and 397 comments. Experience the impact of this video content that has captured audience attention.

Featuring Federico Ardila from San Francisco State University - filmed at MSRI. More links & stuff in full description below ↓↓↓ Federico previously on Numberphile: https://www.youtu.be/OfEv5ZdSrhY Federico's webpage: http://math.sfsu.edu/federico/ Antarctica Timelapse: https://www.youtu.be/o71TFQBTCG0 Objectivity: https://www.youtube.com/c/objectivity_videos Thanks to our Patrons, including: Jeremy Buchanan, Arjun Chakroborty, Yuriy Panov, Jeff Straathof, Susan Silver, Andy, Yana Chernobilsky, Christian Cooper, James Bissonette, Ken Baron, Bill Shillito, Ben, Tony Fadell, Turner Lehmbecker, Bernd Sing, Dr Jubal John, Thomas Buckingham, Adam Savage, Roman Pinchuk, Tianyu Ge, john buchan, Joshua Davis, Steve Crutchfield, Jon Padden, Kristo Käärmann, Vali Dobrota, D Hills, Eric Mumford, Charles Southerland, Arnas, Ian George Walker, Tracy Parry, George Greene, Igor Sokolov, Alfred Wallace, Bodhisattva Debnath Patreon: http://www.patreon.com/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/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 Editing and animation by Pete McPartlan 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

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