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Featuring Sophie Maclean and superfactorials. Try the Halfsies challenge at https://brilliant.org/challenge/numbe... (and tell us your score!) or go to Brilliant's courses and start for free at https://brilliant.org/numberphile/ (episode sponsor) More links & stuff in full description below ↓↓↓ Sophie Maclean is based at Kings College, London: https://sophiethemathmo.wordpress.com More Sophie on Numberphile: https://bit.ly/Sophie_Numberphile Superpermutations: • Superpermutations - Numberphile Superhero Triangles: • Superhero Triangles - Numberphile The Super Bottle: • Super Bottle - Numberphile Patreon: / numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We're also supported by the Simons Laufer Mathematical Sciences Institute (formerly MSRI): http://bit.ly/MSRINumberphile Our thanks also to the Simons Foundation: https://www.simonsfoundation.org NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: / numberphile Numberphile tweets: / numberphile Subscribe: http://bit.ly/Numberphile_Sub Video by Brady Haran and James Hennessy 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