Fantastic Quaternions- Numberphile

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Dr James Grime discusses a type of number beyond the complex numbers, and why they are useful.Extra footage: https://youtu.be/ISbJ9S0fzwYMore links & stuff in full description below ???Support us on Patreon: http://www.patreon.com/numberphileNUMBERPHILEWebsite: http://www.numberphile.com/Numberphile on Facebook: http://www.facebook.com/numberphileNumberphile tweets: https://twitter.com/numberphileSubscribe: http://bit.ly/Numberphile_SubNumberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphileVideos by Brady HaranBrady'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/YdjL9Numberphile T-Shirts: https://teespring.com/stores/numberphileOther merchandise: https://store.dftba.com/collections/numberphileSpecial thanks to these supporters: Jeff StraathofChristian CooperPeggy YouellKen BaronToday I Found OutRoman UrbanovskiMehdi RazaviJohn BuchanBill ShillitoAndrzej 'Yester' FiedukowiczSusan SilverLêOK MerliSpiked MathRexDex Thomas BuckinghamPeter KærHenry ReichGeorge GreeneArnas Paul BatesMichael SurragoplusunimTracy ParryStan CiprianMark KlamerusKeith VertreesTyler O'ConnorKristian JoensenValentin James P BuckleyMichael