# 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 🙂

“That’s on the Moon right now…”

…help…can’t breath….

12:15 I think he skipped in a idubbbz quote

But what if the child consents?

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

4:54 S U C C

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

doomed

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

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

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

I don’t get it

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?

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

sorry Vsauce but not everybody believe the lunar landing

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

Is there really coffee in that cup?

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

Really? More infinity concepts? We get it.

Im still waiting for a video on spit facts

Oh, that last part was basically lifted directly from Matt Parker’s

(standupmaths) second-most recent video… but great video otherwise!

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