Fixed Points

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• published: 28 Sep 2016
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My video on Sesame Studios: https://www.youtube.com/watch?v=BTjAiyyG2sw The Curiosity Box by Vsauce: https://www.curiositybox.com/ LINKS TO SOURCES BELOW! My twitter: https://twitter.com/tweetsauce My instagram: https://www.instagram.com/electricpants DONG: https://www.youtube.com/dong Moon Museum: https://en.wikipedia.org/wiki/Moon_Museum E.A.T. https://en.wikipedia.org/wiki/Experiments_in_Art_and_Technology Brouwer’s fixed point theorem: http://mathforum.org/mathimages/index.php/Brouwer_Fixed_Point_Theorem https://simanaitissays.com/2015/01/19/combed-coconut-must-have-cowlicks/ https://en.wikipedia.org/wiki/Brouwer_fixed-point_theorem https://www.youtube.com/watch?v=86uarqPBJ9s Excellent interactive wolfram demo of Brouwer: http://demonstrations.wolfram.com/BrouwerFixedPointTheorem/ Online graphing calculator used was: https://www.desmos.com/ fixed points more generally: http://www.math.uri.edu/~kulenm/mth381pr/fixedpoint/fixedpoint.html https://en.wikipedia.org/wiki/Fixed_point_(mathematics) https://en.wikipedia.org/wiki/Fixed-point_iteration Gullible 9s: http://mathforum.org/library/drmath/view/62561.html Babylonian method: https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method Iterated equation solver you can use to run the Babylonian method: http://www.wolframalpha.com/widgets/view.jsp?id=e4a9b48a942efefa14b2773c31982c29 aleph fixed point: https://lukepalmer.wordpress.com/2007/06/14/the-lesser-of-infinitely-many-evils/ http://cantorsattic.info/Aleph My video on counting past infinity: https://www.youtube.com/watch?v=SrU9YDoXE88 map projections: http://www.gis.osu.edu/misc/map-projections/ https://www.jasondavies.com/maps/transition/ antipodes: http://geographer-at-large.blogspot.co.uk/2011/10/where-is-your-antipode.html antipode-finders: https://www.jasondavies.com/maps/antipodes/ http://www.findlatitudeandlongitude.com/antipode-map/#.V-nBkZMrIUF Pacific antipode image: http://i.imgur.com/dyJQ3EW.jpg Borsuk-Ulam: https://www.youtube.com/watch?v=5Px6fajpSio https://www.youtube.com/watch?v=_sA3c0AhK34 https://www.youtube.com/watch?v=EhAs-vZDQG0 “four” is the cosmic number: Standupmaths video about how four has four letters. So bummed I only found this AFTER I made this vid, check it out!! https://www.youtube.com/watch?v=LYKn0yUTIU4 http://theweeklyriddle.blogspot.com/2010/09/cosmic-number.html “Idempotent”: https://en.wikipedia.org/wiki/Idempotence protocol_7’s comment: https://www.reddit.com/r/math/comments/tw502/can_you_supply_an_elegant_proof/ Other topology pages: http://www.solitaryroad.com/c775.html https://en.wikipedia.org/wiki/Homeomorphism wiki images: https://commons.wikimedia.org/wiki/File:Robert_Rauschenberg_(1968).jpg https://en.wikipedia.org/wiki/Claes_Oldenburg#/media/File:Claes_Oldenburg_(1970).jpg Globe is from Ballerby & Co. Globemakers http://www.bellerbyandco.com/ https://www.instagram.com/globemakers/ music from http://www.youtube.com/JakeChudnow and http://www.audionetwork.com Any VFX that actually look cool are by https://www.youtube.com/c/ericlanglay -- I did the rest the best I could :)