Tony Várilly-Alvarado uses surprising mathematics to show that a 3x3 Magic Square of Squares is highly unlikely. See Matt Parker react to this video at: https://www.youtube.com/watch?v=U9dtpycbFSY --- More links & stuff in full description below ↓↓↓ Tony's webpage at Rice University: https://math.rice.edu/~av15/ Paper by Nils Bruin, Jordan Thomas, Anthony Várilly-Alvarado: https://arxiv.org/abs/1912.08908 Christian Boyer, "Some notes on the magic squares of squares problem": https://link.springer.com/article/10.1007/BF02985794 The Parker Square: https://www.youtube.com/watch?v=aOT_bG-vWyg Finite Fields & Return of The Parker Square: https://www.youtube.com/watch?v=FCczHiXPVcA A Special Magic Square: https://www.youtube.com/watch?v=aTSYARnB-3Y Magic Square Party Trick: https://www.youtube.com/watch?v=aQxCnmhqZko Parker Square Tee: null Numberphile is supported by the Simons Laufer Mathematical Sciences Institute (formerly 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 The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - https://www.akamai.com/company/corporate-responsibility/akamai-foundation 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 Edit and animation by Pete McPartlan Patreon: http://www.patreon.com/numberphile 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