Fixed Points

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Vsauce

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Shared September 28, 2016

My video on Sesame Studios: https://www.youtube.com/watch?v=BTjAi...
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_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...
https://www.youtube.com/watch?v=86uar...

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: https://www.youtube.com/watch?v=SrU9Y...

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:

https://www.youtube.com/watch?v=5Px6f...
https://www.youtube.com/watch?v=_sA3c...
https://www.youtube.com/watch?v=EhAs-...

“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=LYKn0...
http://theweeklyriddle.blogspot.com/2...


“Idempotent”: https://en.wikipedia.org/wiki/Idempot...

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

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/
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 :)