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  • Fixed Points

    2,286,931 views 3 days ago
    My video on Sesame Studios: https://www.youtube.com/wat...
    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/e...
    DONG: https://www.youtube.com/dong

    Moon Museum:

    https://en.wikipedia.org/wi...

    E.A.T. https://en.wikipedia.org/wi...

    Brouwer’s fixed point theorem:

    http://mathforum.org/mathim...
    https://simanaitissays.com/...
    https://en.wikipedia.org/wi...
    https://www.youtube.com/wat...

    Excellent interactive wolfram demo of Brouwer: http://demonstrations.wolfr...

    Online graphing calculator used was: https://www.desmos.com/

    fixed points more generally:

    http://www.math.uri.edu/~ku...
    https://en.wikipedia.org/wi...)
    https://en.wikipedia.org/wi...

    Gullible

    9s: http://mathforum.org/librar...

    Babylonian method:

    https://en.wikipedia.org/wi...

    Iterated equation solver you can use to run the Babylonian method: http://www.wolframalpha.com...

    aleph fixed point:

    https://lukepalmer.wordpres...
    http://cantorsattic.info/Aleph

    My video on counting past infinity: https://www.youtube.com/wat...

    map projections:

    http://www.gis.osu.edu/misc...
    https://www.jasondavies.com...

    antipodes: http://geographer-at-large....

    antipode-finders:

    https://www.jasondavies.com...
    http://www.findlatitudeandl...

    Pacific antipode image: http://i.imgur.com/dyJQ3EW.jpg

    Borsuk-Ulam:

    https://www.youtube.com/wat...
    https://www.youtube.com/wat...
    https://www.youtube.com/wat...

    “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/wat...
    http://theweeklyriddle.blog...


    “Idempotent”: https://en.wikipedia.org/wi...

    protocol_7’s comment: https://www.reddit.com/r/ma...

    Other topology pages:

    http://www.solitaryroad.com...
    https://en.wikipedia.org/wi...

    wiki images:

    https://commons.wikimedia.o...
    https://en.wikipedia.org/wi...

    Globe is from Ballerby & Co. Globemakers

    http://www.bellerbyandco.com/
    https://www.instagram.com/g...

    music from
    http://www.youtube.com/Jake...
    and http://www.audionetwork.com

    Any VFX that actually look cool are by https://www.youtube.com/c/e... -- I did the rest the best I could :) Show less
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