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_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: 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.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!! https://www.youtube.com/watch?v=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 :)
Видео Fixed Points канала Vsauce
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: 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.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!! https://www.youtube.com/watch?v=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 :)
Видео Fixed Points канала Vsauce
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