Fixed Points

My video on Sesame Studios:    • How Fast is a Cheetah? | Vsauce (Sesame St...   The Curiosity Box by Vsauce: https://www.curiositybox.com/ LINKS TO SOURCES BELOW! My twitter:   / tweetsauce   My instagram:   / electricpants   DONG:    / dong   Moon Museum: https://en.wikipedia.org/wiki/Moon_Mu... E.A.T. https://en.wikipedia.org/wiki/Experim... Brouwer’s fixed point theorem: http://mathforum.org/mathimages/index... https://simanaitissays.com/2015/01/19... https://en.wikipedia.org/wiki/Brouwer...    • Topology For Beginners: Brouwer Fixed Poin...   Excellent interactive wolfram demo of Brouwer: http://demonstrations.wolfram.com/Bro... Online graphing calculator used was: https://www.desmos.com/ fixed points more generally: http://www.math.uri.edu/~kulenm/mth38... https://en.wikipedia.org/wiki/Fixed_p...) https://en.wikipedia.org/wiki/Fixed-p... Gullible 9s: http://mathforum.org/library/drmath/v... Babylonian method: https://en.wikipedia.org/wiki/Methods... Iterated equation solver you can use to run the Babylonian method: http://www.wolframalpha.com/widgets/v... aleph fixed point: https://lukepalmer.wordpress.com/2007... http://cantorsattic.info/Aleph My video on counting past infinity:    • How To Count Past Infinity   map projections: http://www.gis.osu.edu/misc/map-proje... https://www.jasondavies.com/maps/tran... antipodes: http://geographer-at-large.blogspot.c... antipode-finders: https://www.jasondavies.com/maps/anti... http://www.findlatitudeandlongitude.c... Pacific antipode image: http://i.imgur.com/dyJQ3EW.jpg Borsuk-Ulam:    • There are always two opposite points on th...      • Borsuk-Ulam Theorem - Explained by a Youtu...      • Video   “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!!    • Four has Four Letters   http://theweeklyriddle.blogspot.com/2... “Idempotent”: https://en.wikipedia.org/wiki/Idempot... protocol_7’s comment:   / can_you_supply_an_elegant_proof   Other topology pages: http://www.solitaryroad.com/c775.html https://en.wikipedia.org/wiki/Homeomo... wiki images: https://commons.wikimedia.org/wiki/Fi... https://en.wikipedia.org/wiki/Claes_O... Globe is from Ballerby & Co. Globemakers http://www.bellerbyandco.com/   / globemakers   music from    / jakechudnow   and http://www.audionetwork.com Any VFX that actually look cool are by    / ericlanglay   -- I did the rest the best I could :)