Fixed Points

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_a

Brouwer’s fixed point theorem:

http://mathforum.org/mathimage....s/index.php/Brouwer_
https://simanaitissays.com/201....5/01/19/combed-cocon
https://en.wikipedia.org/wiki/....Brouwer_fixed-point_
https://www.youtube.com/watch?v=86uarqPBJ9s

Excellent interactive wolfram demo of Brouwer: http://demonstrations.wolfram.....com/BrouwerFixedPoin

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

fixed points more generally:

http://www.math.uri.edu/~kulen....m/mth381pr/fixedpoin
https://en.wikipedia.org/wiki/....Fixed_point_(mathema
https://en.wikipedia.org/wiki/....Fixed-point_iteratio

Gullible

9s: http://mathforum.org/library/d....rmath/view/62561.htm

Babylonian method:

https://en.wikipedia.org/wiki/....Methods_of_computing

Iterated equation solver you can use to run the Babylonian method: http://www.wolframalpha.com/wi....dgets/view.jsp?id=e4

aleph fixed point:

https://lukepalmer.wordpress.c....om/2007/06/14/the-le
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.blo....gspot.co.uk/2011/10/

antipode-finders:

https://www.jasondavies.com/maps/antipodes/
http://www.findlatitudeandlong....itude.com/antipode-m

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.blogspo....t.com/2010/09/cosmic


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

protocol_7’s comment: https://www.reddit.com/r/math/....comments/tw502/can_y

Other topology pages:

http://www.solitaryroad.com/c775.html
https://en.wikipedia.org/wiki/Homeomorphism

wiki images:

https://commons.wikimedia.org/....wiki/File:Robert_Rau
https://en.wikipedia.org/wiki/....Claes_Oldenburg#/med

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 :)