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Why is this 15-Puzzle Impossible? - Numberphile

Don't try this at home - it's impossible... Professor Steven Bradlow explains. More links & stuff in full description below ↓↓↓ Steven Bradlow: https://math.illinois.edu/directory/p... Buy the puzzle on Amazon (affiliate link): https://amzn.to/2yt8MBA 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 Video by Pete McPartlan and Brady Haran 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