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Magic Squares of Squares (are PROBABLY impossible) - Numberphile

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:    • Matt Parker Reacts to Magic Squares o...   --- 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.... The Parker Square:    • The Parker Square - Numberphile   Finite Fields & Return of The Parker Square:    • Finite Fields & Return of The Parker ...   A Special Magic Square:    • Special Magic Square - Numberphile   Magic Square Party Trick:    • Magic Square Party Trick - Numberphile   Parker Square Tee: https://numberphile.creator-spring.co... 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/outr... 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/corpor... NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook:   / numberphile   Numberphile tweets:   / numberphile   Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Edit and animation by Pete McPartlan Patreon:   / numberphile   Numberphile T-Shirts and Merch: 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