Fixed Points

2016-09-28

[public] 8.24M views, 300K likes, 4.11K dislikes audio only

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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: /youtube/video/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!! /youtube/video/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 :)