Fixed Points

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://en.wikipedia.org/wiki/Brouwer_fixed-point_theorem

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

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:

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:

“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

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 🙂

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20 Responses

  1. Mownage Vol Fulken says:

    “That’s on the Moon right now…”

    …help…can’t breath….

  2. Thomas Fitzgerald says:

    12:15 I think he skipped in a idubbbz quote

  3. Logan Schmidt says:

    But what if the child consents?

  4. Jorge Abrante says:

    I licked the video was amazin (sorry for words im spanish)

  5. chunky8bit says:

    4:54 S U C C

  6. NJA2k8 says:

    When I see that a video from this channel is over 10 minutes long, I’m
    doomed

  7. Mauricio Solis says:

    We never went to the moon, the earth is flat…

  8. TheProjectBrothers says:

    12:15 did you seriously just use idubbbz meme with science haha ?

  9. Adam Man says:

    so we just gonna act like he hasnt uploaded in 2 months?

  10. LefyIsHere No says:

    I don’t get it

  11. Shelby Tull says:

    The globe thing – since there are an infinite number of points on a globe,
    there are an infinite number of pairs opposite each other and an infinite
    number of ways to switch the ‘thermometers’ (as long as they remain
    opposite to each other throughout the process). So, aren’t there an
    INFINITE number of pairs on earth opposite each other that have the same
    temperature?

  12. Andrew Boot says:

    Good video. Can’t wait for your next one in 2017!

  13. Bin Ghannam says:

    sorry Vsauce but not everybody believe the lunar landing

  14. Nathaniel Valbuena says:

    At 1:56 , I’m pretty sure that looks like something else (the w&a)

  15. Jonathan says:

    Is there really coffee in that cup?

  16. Chipwhitley274 says:

    Just his initials? Then what is that line at the tip doing there?

  17. Raziaar says:

    Really? More infinity concepts? We get it.

  18. PowderBoy says:

    Im still waiting for a video on spit facts

  19. John Chessant says:

    Oh, that last part was basically lifted directly from Matt Parker’s
    (standupmaths) second-most recent video… but great video otherwise!

  20. NEMusic says:

    So what happens if a language spells four with more or less letters?