# Fixed Points

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• Published on Sep 28, 2016
• My video on Sesame Studios: thexvid.com/video/BTjAiyyG2sw/video.html
The Curiosity Box by Vsauce: www.curiositybox.com/
My instagram: instagram.com/electricpants
DONG: thexvid.com/user/dong
Moon Museum:
en.wikipedia.org/wiki/Moon_Museum
E.A.T. en.wikipedia.org/wiki/Experiments_in_Art_and_Technology
Brouwer’s fixed point theorem:
mathforum.org/mathimages/index.php/Brouwer_Fixed_Point_Theorem
simanaitissays.com/2015/01/19/combed-coconut-must-have-cowlicks/
en.wikipedia.org/wiki/Brouwer_fixed-point_theorem
thexvid.com/video/86uarqPBJ9s/video.html
Excellent interactive wolfram demo of Brouwer: demonstrations.wolfram.com/BrouwerFixedPointTheorem/
Online graphing calculator used was: www.desmos.com/
fixed points more generally:
www.math.uri.edu/~kulenm/mth381pr/fixedpoint/fixedpoint.html
en.wikipedia.org/wiki/Fixed_point_(mathematics)
en.wikipedia.org/wiki/Fixed-point_iteration
Gullible
9s: mathforum.org/library/drmath/view/62561.html
Babylonian method:
en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method
Iterated equation solver you can use to run the Babylonian method: www.wolframalpha.com/widgets/view.jsp?id=e4a9b48a942efefa14b2773c31982c29
aleph fixed point:
lukepalmer.wordpress.com/2007/06/14/the-lesser-of-infinitely-many-evils/
cantorsattic.info/Aleph
My video on counting past infinity: thexvid.com/video/SrU9YDoXE88/video.html
map projections:
www.gis.osu.edu/misc/map-projections/
www.jasondavies.com/maps/transition/
antipodes: geographer-at-large.blogspot.co.uk/2011/10/where-is-your-antipode.html
antipode-finders:
www.jasondavies.com/maps/antipodes/
www.findlatitudeandlongitude.com/antipode-map/#.V-nBkZMrIUF
Pacific antipode image: i.imgur.com/dyJQ3EW.jpg
Borsuk-Ulam:
thexvid.com/video/5Px6fajpSio/video.html
thexvid.com/video/_sA3c0AhK34/video.html
thexvid.com/video/EhAs-vZDQG0/video.html
“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!! thexvid.com/video/LYKn0yUTIU4/video.html
theweeklyriddle.blogspot.com/2010/09/cosmic-number.html

“Idempotent”: en.wikipedia.org/wiki/Idempotence
Other topology pages:
en.wikipedia.org/wiki/Homeomorphism
wiki images:
commons.wikimedia.org/wiki/File:Robert_Rauschenberg_(1968).jpg
en.wikipedia.org/wiki/Claes_Oldenburg#/media/File:Claes_Oldenburg_(1970).jpg
Globe is from Ballerby & Co. Globemakers
www.bellerbyandco.com/
instagram.com/globemakers/
music from
thexvid.com/user/JakeChudnow
and www.audionetwork.com
Any VFX that actually look cool are by thexvid.com/user/ericlanglay -- I did the rest the best I could :)
• Science & Technology

• Crassen Mlg Scopez 6 hours ago

Love that the video has a fixed point where i had to close the vidoe and scip that exact second

• Michael T 18 hours ago

Hey! That's pretty good!

• BlazingBlace Day ago

I cant believe someone actually drew a penis

• Ultracrepidarian Day ago +1

But you can completely stir your coffee completely since it exists in a 3 dimensional space

• Jamieson Lawrence 2 days ago

buzzfeed unsolved music

• Giglefreakz 2 days ago

Does anybody know an interactive version of the checkerboard? Because looking at it, it almost seems as if it’s possible to resize it, fit it into a corner and not have any square light up.

• Hell's Pain 2 days ago

look those tabs at 10:19

• John Shumate 4 days ago

The absolute value of negative thirty seven has thirty seven letters in its name maybe that means something

• swagdog100 4 days ago

4skin

• redfong 5 days ago

1:57 YOU JUST CRACKED ME LOL

• Nick Korkodylas 5 days ago

1:55
You get an airman out of earth but you can never get the Air Force out of the airman.

• Mario Hanna 5 days ago +1

to the coffemug analogy wouldnt the droplets you takeout with the spoon cause it to be possible to complete mix the coffe?

• Walter Robinson 3 days ago

We assume frictionless coffee
But i was thinking, if the spoon touches the bottom of the cup, doesnt it introduce a hole/cut?
Allowing us to completely mix up the coffee?

• RED Engineer 6 days ago +4

aleph naught
11
eleven
6
six
3
three
5
five
4
four
4
four
4
four

• Toe Knee 6 days ago

12:15 idubbbz is that you?

• Four 4

• Ignacio Aguilera 7 days ago

2:48 : 3am i died.

• co8222 7 days ago

1:33 lol

• RowingNoob 8 days ago

Well, Vsauce, I'm sorry, but I do not want to dig straight down, I think none of us do. Not because we are, scared, or, it being impossible, but because we dont want to dig straight down just to loose 5 hours worth of strip mining for diamonds, just to fall into lava. It sounds fun, but you're in your own boat, sorry.

• Captain Oblivious 8 days ago

"Well, of course you can... NOT!"

• Vielheim 9 days ago

penis

• Berken Tekin 9 days ago

So what if I put a cylinder inside the coffee before stirring?

• ja9395 9 days ago

I'm not sure what you says about the coffee is true cause i don't know if a liquid a compact or not. Are orbjects open or closed? Actually they're just molecules

• SUBSCRIBE PEWDIEPIE 10 days ago

what the 15:56. See her mouth.

• Gautam Nag 10 days ago

life lesson #965 13:58

• amy liu 10 days ago

This is like the bane of OCD...

• Evendo Sean D'mello 10 days ago

i came here because i was searching for md4/md5 fixed points ..... damn you google. wrong.

• Job Muiles 11 days ago

Trying to find information about numerical fixed point iterations. I got lost

• KSR3 11 days ago

*innconetly* puts his initials on the moon
8====D💦

• Elnathan Ayanam 11 days ago

Andy Warhol the savage😂😂

• Graham Cartwright 11 days ago

who else thinks the Apollo 12 team leaving the moon was full of confetti?

• Yami 11 days ago

What is this, Vsauce 4?

• 12:15 is iconic, but the context is so much better

• Major Johnson 12 days ago

Hold up, stirring coffee *can't* follow the fixed point law. It allows for "cutting and pasting": its a liquid.

Take a toroidal shaped grouping of the liquid (that contains all of it) and rotate it around the circle defining the torroid, then rotate around the center of that circle. No points will remain fixed in place: the first rotation leaves only the points on the circle where they started, but the second rotation moves all of those points without moving any other point back to its start.

• MissKisKis 12 days ago +1

In Russian, the words for 6, 5 and 4 loop and never reach a fixed point. Someone should check that no such loop exists in English

• the cool koopa 12 days ago

At least we know he doesn't work four the illuminati

• Zachary Sukovaty 12 days ago

*ATTACK OF THE FOURS*

• Vol100000 12 days ago +1

13:52 but Michael, if you push enough, you break the button.

• blablubb 13 days ago

FOUR is language-specific, isn#t it?

• MasterODisguise 13 days ago

It somehow comforts me that a poorly drawn penis was graffitied on an art museum that is on the moon

• Saswat Padhi 13 days ago

@Vsauce - The number shown at 9:00 doesn't make sense. The subscript for an Aleph number is always an "ordinal number", not a "cardinal number". So, an Aleph subscript doesn't make sense. I think you wanted to use Omega instead of Aleph.

• Mohammed Qutu 13 days ago

1:56

• Ben Huston 13 days ago +3

• ZeroGeo 14 days ago

• GameBossBot 14 days ago

I love the puns

• Joshua Martin 14 days ago

I think it was covered up because it looked like a d###

• CefBlueware 15 days ago +1

1:57 I need a 10 hour version of that stare

• It's a space dick

• Andrew Davis 15 days ago

How can you say that temperature, t, dependent upon some position, p, modeled by the function t(p) is continuous? If it is discontinuous, wouldn't the reasoning there fall apart?

• Nibbs 15 days ago

Lmao he put a peen on the moon😂

• Spedur 15 days ago

Even Michael is mortified about the fact that there is a d*ck on the moon.

• MrAcuriteOf1337 16 days ago

"Twelve plus one more than a score", including spaces, is twelve plus one more than a score letters long

• cheezslice 16 days ago +1

Mista must hate the end of this

• Unique Azrael' Gaming 16 days ago

1:56 when you're job was simply to make the first art in another celestial body
And you fucked up
(Kids in school for be soo proud they're NATURAL thing to do is done by a professional scientist that works in nasa and is for the MOON)
A dick form

• Bohn Jarker 16 days ago

Dick on a chip

• dom cusano 16 days ago +1

2:50 is it just me or did anyone else’s eyes bug out

• Nuada the silver hand 16 days ago +6

Anybody else notice, at the end... He blinked FOUR times.

• Yellowstone The Pony 16 days ago

God dammit Andy...

• Kane A 17 days ago

7:30 - everything falls over wheil you just ignore it i love it

• PaperClip Studios 17 days ago

“it’s the year 2030, we discovered a way to transport people to the moon. We discovered a penis”

• Sir HoBo 17 days ago +18

Im sorry for posting this so late...but did ANYONE else notice that he blinked four times? @Vsauce

• Noel Probst 17 days ago

Nobody:

Vsauce: *SOMEONE DREW A PENIS AND LEFT IT ON THE MOON*

• 14:56 he blinks FOUR times.

• PerriErri 17 days ago +1

I feel fixed...

...to these videos

• Jim Halpert 18 days ago

I'm lost

• Sniper_Kid_308 18 days ago

Four heavens sake, he blinked four times four you in the end two

• Mage 18 days ago

*8==D*

• Sammi Zhang 18 days ago

*Fixed Points* *Four*

• Antonio Elua 19 days ago

Doesn't work in Spanish you can get either Cinco or a loop between seis and cuatro

• Jiří Janoušek 19 days ago

Except coffe is a liquid so you are basically "cutting" it with the spoon...

• Bennett Vergara 19 days ago

I just think this is wrong because at 3:50 when he’s doing that thing I can make it where none of them are touching

• Crunchy Guy 20 days ago

Notice how he blinked four times at the end of the video.

• Dick Longflop 20 days ago

I miss vsauce 💔😢

• Tobias Johansen 20 days ago

I do not get why the temperature and pressure has to flip when moving the meters around the earth. Since they are only moving half a globe isn't there a chance one might never go up, and the other might never go down thus they don't ever cross?

• SydTheGoat 21 day ago

Fixed points in the sky

• Prathamesh Sirmalla 22 days ago

The coffee cup example of fixed point does not satisfy all of the conditions of brouwer's theorem, the 'cutting and gluing condition'.

• JheyDraws 22 days ago

* Glides in *
*_Hey, Vsauce, Michael here_*

• Marius Schiller 24 days ago

That ending would’ve killed Mista with bad luck...

• Alex Neal 25 days ago

It says gullible in the description

• AE Universe 25 days ago +1

When he ask you to say any number you can think of and you choose a regular plain one 😭

• Daniel Howerth 25 days ago

Million
7
Seven
5
Five
4

• Immortal Potato 26 days ago

F O U R

• Chris O 26 days ago

I like how when his smile faded mine grew
antipodes

• AndreeH 26 days ago

Four

• Donkey 26 days ago +1

JUST HIS INITIALS.

• Aiden Andre 26 days ago +1

The smartest and most creative people of earth are most often the most mentally questionable and crazy, same with the opposite, if you go into some insane asylums, you find some genius’ and extremely creative minds, Michael here is the perfect example

• Almost Brilliant 26 days ago

Stirring Coffee is almost certainly not a continuous transformation.

• Shailesh Rana 26 days ago +1

12:15
Michael FOUR sure referenced iDubbz

• Shailesh Rana 26 days ago +1

Bro, Michael legit showed a dick in a video

• Andrej Patak 27 days ago

In my lenguage cosmic number is 3
It has 3 letters

• John Gallentine 27 days ago

You can get anything you want, at a alephs restaurant.

• tory mountain 27 days ago

Warhol is a leftist degenerate. Pardon the tautology.

• GamingSiblings 28 days ago

Doing things over and over again, expecting a change...is insanity...some guy on an island told me that.

• Prikshit Garg 29 days ago

There is a pee pee on the moon. This made my day

• christian Saldaña 29 days ago

And,∞=≠∞,because,even what fraction you give over infinity,whatever you add or subtract,whatever you divide or multiply,even what operation you do to it(like powers,square roots,cube roots,etc.),it's still infinity,but is a different number.

Therefore,it is in a state of superposition,though,it is "numerical superposition", and,∞ can't be 0,because ∞-1=∞,but 0-1=-1.

• KAUR4 29 days ago

Don't show this video to Mista.

• Tixein • 29 days ago

"Bobs or vegana? Whichever will it be?"

Jokes on you pewds we chose the *pp lol*

• TurtleBoy Comedy Month ago

12:15 Idubbz has entered the chat