Fixed Points

My video on Sesame Studios: • How Fast is a Cheetah?...
The Curiosity Box by Vsauce: www.curiositybox.com/
LINKS TO SOURCES BELOW!
My twitter: / tweetsauce
My instagram: / electricpants
DONG: / dong
Moon Museum:
en.wikipedia.org/wiki/Moon_Mu...
E.A.T. en.wikipedia.org/wiki/Experim...
Brouwer’s fixed point theorem:
mathforum.org/mathimages/index...
simanaitissays.com/2015/01/19...
en.wikipedia.org/wiki/Brouwer...
• Topology For Beginners...
Excellent interactive wolfram demo of Brouwer: demonstrations.wolfram.com/Bro...
Online graphing calculator used was: www.desmos.com/
fixed points more generally:
www.math.uri.edu/~kulenm/mth38...
en.wikipedia.org/wiki/Fixed_p...)
en.wikipedia.org/wiki/Fixed-p...
Gullible
9s: mathforum.org/library/drmath/v...
Babylonian method:
en.wikipedia.org/wiki/Methods...
Iterated equation solver you can use to run the Babylonian method: www.wolframalpha.com/widgets/v...
aleph fixed point:
lukepalmer.wordpress.com/2007...
cantorsattic.info/Aleph
My video on counting past infinity: • How To Count Past Infi...
map projections:
www.gis.osu.edu/misc/map-proje...
www.jasondavies.com/maps/tran...
antipodes: geographer-at-large.blogspot.c...
antipode-finders:
www.jasondavies.com/maps/anti...
www.findlatitudeandlongitude.c...
Pacific antipode image: i.imgur.com/dyJQ3EW.jpg
Borsuk-Ulam:
• There are always two o...
• Borsuk-Ulam Theorem - ...
• Video
“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!! • Four has Four Letters
theweeklyriddle.blogspot.com/2...
“Idempotent”: en.wikipedia.org/wiki/Idempot...
protocol_7’s comment: / can_you_supply_an_eleg...
Other topology pages:
www.solitaryroad.com/c775.html
en.wikipedia.org/wiki/Homeomo...
wiki images:
commons.wikimedia.org/wiki/Fi...
en.wikipedia.org/wiki/Claes_O...
Globe is from Ballerby & Co. Globemakers
www.bellerbyandco.com/
/ globemakers
music from
/ jakechudnow
and www.audionetwork.com
Any VFX that actually look cool are by / ericlanglay -- I did the rest the best I could :)

[@Quario]

Imagine getting a PhD just to send a drawing of a pp to space

[@shukuala9502]

That's the perfect reason to get a PhD

[@iyeetdog4853]

A true intellect right there

[@iyeetdog4853]

PhD - pretty huge dick

[@Bell-ih5ln]

Lmao or lameao

[@CarlsCozyCorner]

Andy Warhol was a famous pop artist who did go to college until, if I remember correctly, he dropped out.

[@silverfang1122]

Great video! Can't wait for the next upload in 2036!

[@ZenDragonYoutubeChannel]

Haha, exactly!

[@getitslinging9748]

Oh my God

[@royjonesrampage6684]

SilverFang well its not really that great to be an optimist..we both know that we wont be alive to see his next video.but on the bright side we can write in our will that our children should watch it.

[@joelc.1591]

lolol right?

[@Southmuzik81]

Cold blooded lol

[@alcapwned3933]

"That's on the moon right now." You can feel in his voice the combination of utter defeat and disappointment as well as sheer and utter pride.

[@joshc5613]

The way the background music drops out to emphasize it too, pure perfection

[@simon_li]

0:49 *apollo 17 takes off* person holding camera: understandable, have a great day

[@AraiKay]

5/10, there was more potential in that joke, but the punchline let it down.

[@simon_li]

@@AraiKay noted

[@dismalthoughts]

Eh, I disagree with AralKay, I thought it was flipping perfect xD I wouldn't change a thing

[@ZaHandle]

jokes aside you’d think they used a tripod for that but no they used a flipping car to record that

[@BambinaSaldana]

@@ZaHandle Is the camera still on

[@dtoadq]

"Hey, that's pretty good" Did IDubbz rub off on you

[@Josh8far]

I caught that too. I had to pause and replay it over a few times. That has to be on purpose.

[@KoalaProductions]

He actually has quite an interesting humor side. He seems to like the type of strange offensive and self embarrassing comedy and I bet is somewhat friends with them. Especially after he met the real them.

[@Im_Nosferatu]

ya I caught that too, I bet you idubbz and max told him to say that when they last met up

[@greatsupper]

he even said it in the same tone. it's definitely intentional

[@CashmereBulldog]

It is on purpose, they did a video together a few weeks ago

[@ionmaster7873]

The only single shitpost standing in the moon since 1969 What a legend.

[@salamatiyam2408]

19(69)

[@McJethroPovTee]

@@salamatiyam2408 nice

[@jacob4439]

@@McJethroPovTee nice

[@firstdibs6790]

@@jacob4439nice

[@Poyni]

Yes

[@litlehedgehog_1241]

My favorite thing about Michael and all his videos is that he knows he's a meme and embraces it.

[@deejayslab_is_pro]

why does he always call me vsauce in the begining?

[@nottoofast]

"That's on the moon right now." Hit harder than anything else ever hit.

[@herroyung857]

@@user-vt6cb6sk9n Cavemen drew penises 10000 years ago. Planets will be arranged to form penises 10000 years in the future. It's human nature.

[@KingGuy]

HARDer

[@quas4rx]

@@KingGuy stop.

[@CorelUser]

7:30 hit harder

[@24BinIsNot01]

In 1969 as well overkill

[@wobbmin3705]

When I was little, my dad would always jokingly say "The answer is four" when I asked for help on a homework problem. I now realize he is galaxy brain.

[@1994CivicGLi]

*galaxy brain*

[@hollyaddie8082]

Zndknbdenejdjdk🎄🎁jxkxrmfhdnxndmdndxd dndbdbdbdndndndndndnslfkfmdndndndnfndnfndndndndndndndnskfnfjfkfkfkakdkdjfjdmdmdjdndjdjdjdjfjfjfjdjfnfjfmfnfmfjfjdjdjrjfjdjdjdndnsnsnfnfjdejfbjfjfhfjejjfjfjrjfjjdjdjdjdjdjfjjdjfjdjfjdjdjdhdjdjdjdjdjjdjdjdjdfjjdjdjdjwjdjdhfhxhsndhdhdjftrydjejfjfjfjfjfjjrjrjrjhdjrhrjdjdjdjdidudjdjdjdjdjdhjrjdjdhdhdjdjdjjdjdjdjdjsjjsjsjsjdkfndmdjjdhdjdjmkfkfjdkjfkdksifkfkfjfjfjfififfkfkfjfkfjrjfjdkdbdnfndndfdjffmfjdjdjfjfjfjdjdjrjrkrkfkfkgkekfktktkrkrkrkfktjtkfkfmfjfncjfjfjfjrjrkrjrjfjtjjfj..

[@1994CivicGLi]

@@hollyaddie8082 Ah, someone who speaks Sims character!

[@DemirSezer]

wait what my dad does the same

[@TuckyBlue]

@@hollyaddie8082 ejdksksksksww jejehene Ed fkkccivt fhdjdjdjdjdifucmotherfucketbddndjsjjsjsjsjeiekrrntbtkdckcicuchcjncfnfmfkfocvuchnennwowowowowowducyvybyrjrjrpssppspusspissmypantsdjdjddjdjfnrbrvrbrnrjrkdosixjxcuminmemffkxjzjsjsnebdjxucxtxtsujsjebebeekddiiddujdjdjxjdsuckmycockdkkdkdkddjdnrbrbrbrnrjkrkfficicyvyvtbtbvufudjdjdndnebrbrvrvtvcyxygtjtjffjjfjdjdksugma

[@orionmoore9161]

14:50 OMFG he blinks four times after it too

[@nickbob2003]

Never noticed that despite watching this videos at least 4 times throughout the years

[@epRivera]

I swear, his music is just perfect in literally any situation or conversation

[@florinmatusea]

Jake Chudnow is a very important but probably underrated member of Michael's team 🙏

[@simpli_A]

Or is it? *vsauce music starts playing*… It seems as if it is

[@you_just]

This KZbin channel is the definition of quality over quantity.

[@gustavo2545]

I would say that "Kurzgesagt - In a nutshell" is the one you look for

[@itsmichaelakin5421]

Kurzgesagt honestly shits on this channel right now. V-Sauce has lost its magic.

[@aiGeis]

That's funny, I would say the exact opposite, and this very video is evidence of it. Just a whole bunch of random shit thrown together with terrible transitions, and they still expect us to be entertained or enthralled by it. Well, for simpletons such as yourself, I suppose they've hit the mark.

[@PerseusSagittarius]

You_just Well said, and true!

[@noabman4093]

+aiGeis Oh shit man, dude you're - you're just WAY too smart for us 'simpletons'... shit, dude, what right do I even have talking to you? You're wayyyy out of my league.

[@whatskrakin37]

Doctor: “You are in a mental hospital” Michael: “Or am I” Doctor: “Yes, you are”

[@davidross5593]

I don't get it

[@ianlongshore]

@@davidross5593 He always says or am i or is it?

[@contrathatweirddude.1992]

*But what if*

[@contrathatweirddude.1992]

i wasn't?

[@neonblack211]

It is

[@lenard3935]

I love this guy. You inspired me to take a year out to convert to studying physics and maths. Honestly, you showed me how what I love can be cool with my personality. KZbin as an invention has shaped so many lives, so crazy.

[@theradzoo4784]

Micheal is the kind of teacher who appreciates science so much he keeps talking about off topic stuff with passion

[@Statikk]

Michael: That’s just his initials *music stops* Michael: 😐

[@novabova07]

😐 that’s on the moon right now.

[@reneesalvoro1328]

😐

[@elsebas3167]

😐

[@JimedBro]

😐

[@omeiga]

😐😐😐

[@robbobb4050]

Michael: tells a cool thing Michael: rides in on a *fucking scooter* Scooter: *Crashes* Michael: *continues*

[@t.487]

Budget to high for a scooter crash

[@pleaseenteranamelol711]

rip scuter I cri evrtim

[@hilariofernandes5299]

"That's pretty cool!"

[@mmxzion]

Michael: Crashes scooter Yells upstairs "Sorry Mom I'm trying to make a video, I kinda hit something in the basement!"

[@hastley64]

thats pretty cool

[@paytonmckevitt5168]

Even after rewatching every vsauce video at least 3 times, I still get my mind blown and still laugh

[@Learningburito]

3:49. Rotate 180 degrees then resize so only in 2 boxes. First box on the left contains 20 in a 5 by 4 and the last column of 5 boxes goes in the box next to the left one

[@woodpecker4044]

then you have a point on the edge between the boxes that is a fixed point

[@xeiroe_gaming]

Michael as a toddler: O... O... Michael's mom: He’s saying his first words... Michael: Or am I?

[@ratkeep]

William Doerfler it’s stolen from the brachistochrone video

[@rishik7665]

@@ratkeep or is it?

[@rickastleyunofficial4455]

ok

[@thenamelessking375]

Josef jostar

[@Vijwal]

@@rishik7665 or isn't is I don't even know what i just wrote

[@SuperCatman]

7:30 Michael: destroys set Also Michael: ''That's pretty cool''

[@eggsforbacon]

I came down looking for this exact comment. Thanks

[@NarendraWicaksono]

Still the same Michael: immediately proceeds to talk about infinity

[@dlrss1v274]

wheeeeeeeeeeeeeeeey nice con, charlie

[@brandonmendez2218]

it was funny to see Michal destroy the scooter and making it go hitting some stuff

[@weshansen7892]

For the checkerboard squares, can you not just shrink it so it only fits in two squares and make sure each square in the smaller checkerboard is on the opposite side?

[@dreiistein]

I think this is the best Vsauce video there is. The existential crisis. The music. The things you can’t stop thinking about. The Animation. EVERYTHING is on point

[@severinogateb2487]

Vsauce at the begginig: Talks about how there's a pp on the moon Vsauce later: and thats why 9 is the center of the universe

[@larslarsson9329]

I know these videos are hard to follow but serisly FOUR

[@dr.jacksonbright5723]

Vsauce at the end: there is no escape from the almighty F O U R

[@jupiter8711]

nein

[@akunekochan]

42 is Tha Answer

[@jonwhite8815]

lmao theres a pp on the moon

[@Exurb1a]

Michael, that was fourking brilliant.

[@Adoblem]

You're brilliant uwu

[@Jaime-vs4eo]

I love you and your videos. (specially you *wink wink*). Oh and thanks for the running video, it has helped me move my ass from the chair.

[@dhruvsingh9162]

Ermagerd Exurb1a!

[@trygvegrundvik98]

There you are! Shouldn't you be very busy making daily videos for me? P.S. I love "And Nothing Can Ever Ruin This".

[@FetusEaterr]

interesting seeing people you follow, follow people you follow.

[@hamster1495]

Michael, we very much cut and glue when we stir, additionally, we have a third dimension, and liquids are compressible and ununiform.

[@draconic5129]

On top of that if you wanted to make sure that you didn't stir any back to the part that you started with you could remove some coffee from the cup by oh I don't know taking a sip or pouring a bit out.

[@wtmftproductions]

I've watched this video several times since it came out, and I have yet to understand the coffee thing at around 4:25. I don't see how it's not possible to have every molecule in a different spot after mixing.

[@jakebrowning2373]

Technically you could, like if you had only 2 coffee molecules you could just spin them 180 degrees. But he mentions to a certain "error", so in theory there has to be an infinite number of points (so not discrete molecules)

[@skittybug6937]

@@jakebrowning2373 His example is wrong. It only really applies to stirring that never changes the central point.

[@jakebrowning2373]

@@skittybug6937 no, stirring the coffee (assuming the coffee is continuous instead of molecules) leaves at least 1 point in the same spot, doesnt have to only be the center axis

[@skittybug6937]

@@jakebrowning2373 If you change the axis, every point moves. This can be done by changing the axis of flow. Although this can be resolved by realizing that stirring something in two different axes where the axis of rotation changes only meets the definition of "continuous" in the colloquial sense, not in the mathematic sense as described in the video.

[@NSAhitLIST]

All you gotta do is instead of moving your mixer in a circle go the straight across the cup a few times as well and move the spoon up and down while also doing the other mixing movements. I didn't look at it with a microscope but I'm pretty sure no molecule could be untouched

[@MarkoRSolidus]

It's THESE kind of videos I miss so much, Michael ... :(

[@virtualpresence465]

Yup

[@ministerc9513]

Yeah this was Prime Vsauce.

[@thenixaless7493]

He is on D!NG now if u want to check it go on

[@gracecalis5421]

Sadly his sanity is slowly crumbling away into dust in -DONG- D!NG

[@lumi2030]

He's so BORING now...

[@TheSwampsteve]

Did Michael just say "hey that's pretty good" 😂

[@IMissTheOldPantheon]

iDubbbzTV bby

[@baquirsayed4135]

I'm not gonna lie, the little end part made me kinda scared of Micheal 😂

[@graycaboose4604]

baquir sayed me too

[@Mewyz]

The Swampsteve 😂

[@yuehan6711]

I don't think so

[@korelml6178]

14:05 In spanish it would be 5 (cinco), and it works too, obviously spelling every number in spanish

[@jodolphinlover2282]

También puede quedar en un ciclo de cuatro y seis

[@JakandDaxterAddict]

3:35 Shrink the block to 1/5 original size. Rotate it 180 degrees. Move it so the original 'top' two lines are inside the centre square, and the 'bottom' three lines are in the pink square above the centre. SOLVED!

[@Owen_loves_Butters]

The problem is that the line where the two identical colors intersect still counts as points.

[@benhuston310]

Michael's scooter: crashes spectacularly in front of him Michael (casually, as if nothing happened): Thats pretty cool.

[@Alvagame]

He didnt lie, that was pretty cool, though we didnt see it, it sounded cool

[@Liggliluff]

Hey, that's pretty cool

[@AlahallaBLKN]

Let‘s talk about infinity!

[@TheTuttle99]

You have an incredibly low standard for 'spectacular'

[@onionpie310]

13:51 we need to hang this quote up in every hotel

[@moonwakey5195]

ITR a guy from a movie, lul

[@triple7marc]

Or crosswalk button. Just replace the elevator call button with the crosswalk button.

[@MaxGaming-lg4xp]

550 likes

[@ziqrsx]

6 0 9

[@sebastianstan9655]

Ikr

[@benjaminharris8922]

14:36 Match did this in "Thanks for 4 years of thanks for 4 years!" and got screeched by the number 4.

[@DumboOctopiAreTheBest]

THANK YOU!! I kept thinking of BFB too!

[@VenityGT]

i love bfb

[@Canetoady]

And you have 4 likes 25/3/2024 Monday 11:32AM

[@houstongoodman8165]

Every time I watch this I am more convinced that Michael made this whole video just to tell people to only press the elevator call button once.

[@matheusjezini]

Vsause is the definition of Quality over quantity

[@RegularMoments]

Matheus Eduardo yeah

[@earthpond8043]

That was quality? Lol most of that was complete bs.

[@zuzima161]

obvious troll spotted

[@Ghally]

your way of expressing yourself gives me the impression that youre an idiot. so how would you know?

[@jttinamisan773]

Earth Pond like what?

[@basilsaccounts3732]

3:59 michael: "here's a question" 12 am me: "no that's a mug"

[@Frdnnd]

"it was"

[@aidenmcubing]

No, thats a Michael

[@cutwithaknife5718]

You asleep?

[@basilsaccounts3732]

@@cutwithaknife5718 no

[@simopelle]

@@aidenmcubing No, it's your profile pic

[@DistrarSubvoyikar]

Followup fun fact for that bit near the end about Four: The Spanish analogue for that is Cinco (5)

[@unclecreepy4185]

The crossing of the temperature reminds me of the fly hitting the windshield concept. If you map a fly’s speed on a graph with forward motion represented by a positive number and the speed in the opposite direction as a negative number, the line crosses 0 at some point. Meaning at some point the fly came to a complete stop when it hit the windshield before moving in the opposite direction. But for the fly to be able to come to a complete stop, that would suggest the windshield was at a complete stop at the same time.

[@sladewilson9741]

I'm missing it. I don't know what the hell he was talking about. I know what you're saying, but I don't know what he's saying.

[@edgarallenhoe3518]

​@sladewilson9741 the key is that if one place is 20° and another place is 30°, there must be an unbroken gradient in between that goes from 20-21-23-24-all the way to 30, and including every number in between those ofc. And that would still be true if the 20° place and the 30° place are right next to each other, it would just be more compressed. So, if you picked a point on earth's surface that was 20° and another on the exact opposite that was 30°, and you swapped those two points by sliding them at the same rate along an unbroken path so that they're always exactly opposite each other, then at some point the temperatures would intersect (one is going down and the other is going up) and be the exact same temperature. It doesn't matter what that in-between temperature is, the idea is just that we know it exists.

[@RevelationSmoKer]

Michael the type of guy to make me watch a 15 minute video about a dong on the moon

[@vadernation1233]

A do online now guys on the moon

[@evo683]

That’s only like the first four minutes tho

[@Swarmie]

I would love to watch a video about something you can do online now guys on the moon

[@peepock7796]

You mean a D!NG

[@sct42069]

Something you can.. do online now guys

[@otherclare8495]

there was no coffee in that mug... i feel deceived

[@toasty4000000]

*spoons a bit of coffee out of mug, shakes mug, returns coffee* Me: 1 Math: 0

[@toasty4000000]

Patrick McNalley I didn't say I used a spoon to do my spooning :D

[@otherclare8495]

yeah, thanks mate, but i think ill pass

[@Peter_1986]

Don't worry, I am sure the coffee will be back in the next video. =)

[@bryansuh1985]

Clare Bear THE COFFEE IS ALSO A LIE

[@josiahmiles5516]

1:43 - 2:00 Could not contain myself. Its 5 am and Im pretty sure I just woke the whole house up

[@deriestricyt1460]

Great addition when he finishes the vide with all the four theme and blinks 4 times

[@Bismuth09]

7:28 *Decapitates scooter* "That's pretty cool but let's talk about, infinity."

[@daviomusicozuero151]

Oh God...

[@DukeNauticus]

I've rewatched this video so many times, just for the first two minutes. Moonpeen.

[@Ryan1newy]

idempotent

[@dylanneal9281]

@@Ryan1newy they won't no what that word means because the only seen the first two minutes

[@paradoxwastaken]

@Dylan Neal It’s know not no

[@blackplauge1334]

Same

[@allthingsholy1602]

Moonpeen *hehe*

[@kuroblakka3786]

The same thing with four happens in Turkish as well. Four in Turkish is dört and no other number's Turkish name has the same number of letters as it's value.

[@croftmire]

14:26 That should’ve been, “their absolute values' worth of letters”. (Added the “s” on the end of values (plural, because there were two), plus possession of the noun (“worth”).)

[@ClemensAlive]

I was stirring my coffee in an exact replica of this IKEA mug at the time he said it.. wow

[@aitotem]

Given enough data you will always find coincidences - Vsauce

[@Cygnus0lor]

Cool story bro

[@mrmagoo6966]

So it was you. I've watched this a few times, i've wondered who the people might be who are doing the same thing as him at the same time. It cant happen to me i only drink tea, in a nicer cup too.

[@auerbacher69]

well, if i learned anything from this video, there's always a line of fixed points of coffee mugs being stirred around the globe. or something.

[@akshaykamble1044]

wasn't that a metaphorical "Fixed Point" lol

[@versalgraphics]

12:15 "Hey, that's pretty good" you know your memes Micheal xd

[@TheDopeCantaloupe]

Remedy. I love when these completely unrelated channels do stuff like this.

[@alexeimuzyka114]

The last Filthy Frank cake was made with Micheal if you didn't know. Its all more connected that it appears

[@SmoothDogGaming]

Hey, do you wanna know some spit facts?

[@versalgraphics]

Why yes I do!

[@hps362]

How much money did they pay Michael, again?

[@rack795]

1:42 That looks a little sus if you know what I mean

[@vawnish7720]

6 years later and I still occasionally think about brouwer’s fixed point when making my morning coffee, idk how this helps me in life but thanks anyway Michael.👍

[@mdyer1130]

1:02 Imagine being picked to put a drawing on the moon and deciding to go with a straight line

[@ruthiemuqatach5942]

I want to know the story if this. Does it mean something? WHY?

[@neeltheother2342]

That's modern art for ya.

[@stinksorstonks1498]

@@ruthiemuqatach5942 it's "abstract" ( ͝° ͜ʖ͡°)

[@Choinkus]

@@stinksorstonks1498 Eh, abstract art can be cool. Sometimes it's about interesting shapes, nice looking colors, extreme distortions of reality... It often takes the same skills as naturalistic art. What you're thinking of, though, the kind of stuff where someone just puts a blank canvas on display, or tapes a banana to a wall, or just draws a straight line... That shit cracks me up as well.

[@stproducciones9140]

The 60s was a terrible time for art. Every artist was just your average 15 year old trying to be cool and clever.

[@earthtoashlyn]

Him: **gets off scooter** Scooter: **goes flying everywhere** Him: **looks uncomfortable** Him: “That’s pretty cool but...”

[@omprakashchoudhary1114]

Earth To Ashlyn but where are your fingers

[@smcic]

Good meme

[@SushiElemental]

If that caused damage and Michael leaves it in the video, it's tax deductible. Four sure.

[@ryanbrenner5318]

Where in the video did that happen. @Earth To Ashlyn can you give a time frame

[@qschroed]

I watched this video when it came out 7 years ago when I was still in Highschool, I was one of the kids that really got what is said. Now 7 years later and after a class in algebraic topology I finally can say I get what is happening

[@hithereireallysuck]

3:30 Honestly I'd love to see this turned into an actual game of sorts; even if the end goal is impossible, it's just satisfying and I'd love to see what kind of cool glowing patterns I could make out of this

[@OGMcHuqh]

I like the idubbbz reference ;)

[@OGMcHuqh]

It's at 12:14 btw

[@laru2935]

Owen Hey, that's pretty good

[@zombiegamer2012]

Love the spit facts!

[@zeke1123456789]

Owen right

[@OGMcHuqh]

I have crippling depression

[@Jacob-wr7ch]

12:15 I can't believe you actually just made that iDubbz reference. XD

[@Jacob-wr7ch]

And btw, my favorite/lucky number is 4.

[@floofflez1134]

// S O F T S O U N D // I think so

[@noabman4093]

+Fluffy “Swaggle Puff” Overload Hey, that's mildly adequate!

[@snuffsan]

3 b's

[@prod.hxrford3896]

Pink man.

[@TheAlaskansandman]

The 9 works for single digits if you include them as a decimal like 1.0 and move decimal when you add. So 1.0 would minus .1 to create .9. Which I find interesting when thinking about the E8 lattice and how its a fractal of triangles. The square root of 9 is 3, a triangle. Quarks breaks down in 3's, add up in 3s to make protons and neutrons. The Electron creates a fixed point forming a triangle from nucleus, etc. At the center of the E8 lattice is a hexagon (Most energy conserving shape) made up of 6 even triangles.

[@Thrarm]

Micheal: *casually crashes a scooter* that’s pretty cool

[@tksnack]

7:30 Michael: Watches whole world crumble Also Michael: Acts like noting happend and continues

[@samarendra109]

He says that's very cool just after that.

[@justsomejerseydevilwithint4606]

"That's pretty cool, but, let's talk about infinity"

[@catwithshotgun1571]

@@justsomejerseydevilwithint4606 He can literally see infinity crumble of destroying he's own server

[@314159BC]

This part killed me hahaha

[@clou-dy]

That’s pretty cool..

[@lordyeetos1270]

Start of the video: Thers and art gallery on the moon End of the video: F O U R

[@felixroux]

Thers and

[@Bleebtown]

F O U R A N D X

[@anaveragesoviettankfromthe70s]

and the dude who made those soup can paintings unironically drew a dick for it.

[@skywesley4087]

4

[@arleking2746]

Mista hates this.

[@i.c-0n188]

I like how Michael starts off every video with something that is supposedly not related to the video topic, but then he does a 360 and its actually the beginning of the topic

[@automaton1740]

The demonstration with the coffee is technically flawed, as when you introduce the spoon (and touch it to the bottom of the mug) you create a hole in the object, therefore it IS possible to move every point in that mug :P

[@unusedacc.9575]

Did he just blink four times at the end. Did he just.

[@LucasLobasso]

I knew someone else should have noticed it

[@vxdxnsh]

Marina Joyce much

[@NoirRaven]

Omfg

[@yousefaiman4932]

yea he's too cool for youtupe

[@PlayThemes]

yeah four sure :P

[@JasminePolitely]

12:15 He went and did an iDubbbz

[@crazymcjesus]

Hey that's, pretty guuud

[@juantubec]

FUCCCCCCC

[@darkiller76521]

glad someone else noticed it

[@stmerkelofmigrant1458]

Eyyy thats pretty good

[@2gamers521]

+JunkieKit hey that's pretty good

[@genesisosuna]

5:16 my mother taught me a neat trick when I was young. If you want to know if a number is divisible by 9 just add the numbers and it will always give you a total number added up that's divisible by 9 or adds up to a multiple of 9 that is of course, well, divisible by 9. Its a neat trick especially for quick math like what can divide the number 243. 2 + 4 + 3 = 9.

[@DerTolleIgel]

Hm.. i mean.. this is primary school curriculum.. at least where i am from this is not a trick but basic educational

[@tgr4692]

@@DerTolleIgel Yeah, same here, and I think Genesis Osuna's mind will be blown when they learn that the same trick applies to 3 as well :)

[@Owen_loves_Butters]

@@tgr4692 Actually, even more generally, in base b, this trick will always work for any divisor that is a factor of b-1. For base 10, that's 10-1=9, factors of 9 are 3 and 9 (1 is trivial). So in hexadecimal, this trick works for numbers divisible by 3, 5, and 15 (I encourage you to try it, it's pretty neat, assuming you know how to convert bases ofc).

[@bonzymew_]

NO WAY THIS WAS 4 YEARS AGO, make it slow down brooo 😭

[@rikupakarinen1827]

Great video. See u in 2017.

[@zachary1077]

sadly this is probably gonna be the case

[@karlopoljancic]

worth it

[@eldi]

LMFAO HAHA

[@jamief415]

To be honest, this channel has such amazing production value that it's totally worth it. Quality > quantity, after all.

[@M3rtyville]

if there is a 2017 after the election

[@mark63424able]

1:55 There's a DONG on the moon!

[@tf3confirmedbuthv54]

Tada_WAV hell yes!

[@tf3confirmedbuthv54]

Wait?

[@tf3confirmedbuthv54]

So there’s a think I can do online now, guys on the moon!?

[@benhur6211]

But no vsauce apparently

[@dintelignt]

Andy Warhal is a dick...

[@Liggliluff]

(13:30) In Hungarian, kettő (2) is 5 letters long, and öt (5) is 2 letters long, making it a loop. All numbers will trickle down towards három (3) due to so many numbers having 3 letters: négy (4), hat (6), hét (7), tíz (10) ('gy' is one letter). Egy (1) is the only other number with 2 letters, which also joins the 2-5 loop. Hungarian does not have any end point.

[@Twihhh]

lol, it's nice to see someone wrote something in my language onto this channel

[@zackstump5425]

Aleph gets involved Me: well, infinity just got smaller

[@DavidChristmas]

Thanks for uploading Michael! See you in 3 months!

[@me_hanics]

David Christmas lol

[@calebkruse7729]

David Christmas hopefully not, but ya for real.

[@15justt]

its funny cuz your name is Christmas and in 3 months it is christmas

[@thodoriskavouras4728]

you mean,thanks four uploading. No? Ok, i'll see myself out.

[@3ole2]

David Christmas that's not funny, my future self approves. It's been 1000 years

[@TheJunglePulse]

12:16 Michael, first you collab with Filthy Frank and now you're making iDubbbz references.. I love you

[@DaringRDashington]

Omg lol I thought I was the only one who also noticed this

[@mylesenfantie976]

Pulsey Glad I found this comment, I was worried I was the only Idubbbz watcher

[@TheSuperCoolMan122]

he collabed with franku? whaat? video name?

[@supanjubobbu4914]

its on the human cake video. michael had a scene of him giving spit all the while referencing his spit facts video.

[@awhite1212]

human cake technically hes in it for like 30 seconds. "wanna hear some spit facts"

[@TugiDeg]

0:55 Oh my God, reverse Earth.

[@vulpineboriqua]

The end of his monologue right after he blinks four times was immediately followed by an ad for Noom where the first guy said he was on the program for four months and I swear it felt like a glitch in the matrix lol

[@PC_Simo]

@12:53 In Finnish, such a ”cosmic number” would be 5, since the Finnish word for five (”viisi”) is spelled with five letters. But there is another way to get stuck in an endless loop (a 2-loop, in this case), in Finnish, and that is between the numbers 8 and 9, since the Finnish word for eight (”kahdeksan”) is spelled with nine letters, and the Finnish word for nine (”yhdeksän”) is spelled with eight letters. 😄

[@myirlname]

in russian it’s three (три) and eleven (одиннадцать). in ukrainian it’s just three, but you can also get into a 3-part loop between six (шість), five (п’ять), and four (чотири)

[@PC_Simo]

@@myirlname Interesting 🤔👍🏻.

[@saltedmutton7269]

wouldn't 5 work in spanish as well (cuatro)?

[@myirlname]

@@saltedmutton7269 my brother in christ cuatro is 4 5 is cinco

[@PC_Simo]

@@myirlname My thoughts, exactly 👌🏻. Besides, ”Cuatro” has six letters, not five.

[@madkirk7431]

1:58 lol i love how he did that XD

[@ksx1024]

That's a *dick* right there, if you ask me..

[@RoseanneJean]

@@ksx1024 **fake cough** really?? **fake cough**

[@nanamacapagal8342]

Great job, Andy. Now there will always be a PP on the moon for the foreseeable future.

[@RP744TehObjectThingy]

r/ThanksIHateIt

[@joshme3659]

Someone probably the dick IS the forst art on the moon. And for one i am proud of humanity

[@__8120]

With the squares, could you not shrink the copy to 1/5th size, rotate it 180°, and place it in the middle row so that the line between the leftmost column and the next column lines up on both of them?

[@Garden-sz8jb]

This was made 4 years ago

[@ally7016]

YAY A NEW VSAUCE VIDEO ITS BEEN TOO LONG, MICHAEL ❤️

[@ally7016]

P.S. CONGRATS ON YOUR MARRIAGE

[@peloslash]

whatt

[@SkullzTS]

I know right

[@thebest-jh2gp]

잘못

[@nadavegulsky2854]

WHY ARE WE SCREAMING?!

[@alexsantillan4759]

1:56 "That's on the moon right now" got me laughing in tears hahahaha

[@KevinIsNice6984]

however i am on the earth right now *or am i?* *vsauce intensifies*

[@sloth9093]

68 likes so close to nice ( ͡° ͜ʖ ͡°)

[@KevinIsNice6984]

@@sloth9093 fixed it

[@erm_honestly]

Or is it?

[@theyeetlord9158]

His look is priceless -_-

[@TheTomatoWatcher]

Thinking about that "four" thing, but in Spanish, there are two possible outcomes. Depending on the number you start with, you'll either be stuck at 5 (cinco), or you'll eternally alternate between 4 (cuatro) and 6 (seis). You'll have to ask someone else about other languages :P

[@sage_x2002]

3:42 - resize it to the size of one of the original pixels, rotate it 180 degrees, align it with the pixel in the top left and move it down exactly one pixel (of the smaller one). The top row is now in the second row of the initial array, while all other rows are in the first row. No pixel is still in the place it used to be, without it ever leaving it's bounds. What am I missing?

[@hedaurabesh]

You are missing that there's no pixel grid. Fixed points only exist in continuous space, that is, it does not matter how small you make something, you can always find a new point "in-between". So there is no "pixel" you could shrink it to. The fields have sharp borders, but no matter how close you zoom in, it's always an infinte amount of points in-between. And since you can only transform the plane in a way that the distance between two points is an unbroken line of points that move closer together both before and after the transformation (i.e. no holes, no cuts) and you are not allowed to swap two points, you get at least one fixed point. Imagine shrinking the grid entirely into one colored field. Now you wish to move ALL points of the same colour out of that field without moving ANYother point outside of that field. Since there is a continuous line between the colored grids, no matter how you twist or bend it, you MUST find a point of another color that either touches a differently colored field, or touches the border. Since the border is infinitely sharp, touching the border means sharing points in common. Either way, you lose. You either can't move ALL the same-colored pixels out, or you MUST "bleed" other colored pixels into a differently colored field.

[@xaejn5011]

12:15 Hey, that's pretty good

[@wiredelectrosphere]

When he gives you spit facts

[@Clyman974]

He just confirmed it was an iDubbbz' refference

[@jackpreston9236]

yes?

[@phillytothemax]

can someone explain this

[@mavisbavingson2299]

Philmore James its a meme

[@OctorokSushi]

**Meanwhile, on the moon** Alien 1: So, are the humans ready to meet "extraterrestrials" and explore the galaxy? Alien 2: Nah... they still draw their reproductive organs on everything. Hey, what are you doing over there? Alien 1: **scribbling out his drawing in the lunar soil** O-oh! Um, n-nothing hahah... Immature humans am I right?

[@earthtoashlyn]

Lol

[@AlphahawkA25]

Little did we know those crop circles were just alien dicks.

[@blitzninja4396]

I was gonna like but it was at 169

[@DavidRogers97]

ʜʏʟɪᴀɴ ᴘʀɪᴅᴇ 😂

[@JohnDoe-vo4mu]

Shut the fuck up you cringey fucker

[@hmm8469]

I am 100% sure that he built the whole video's structure Just to have that ending

[@johnchessant3012]

that's a really neat proof of the Borsuk-Ulam theorem!

[@mason787]

When I saw the initials I laughed so hard

[@mason787]

"That's on the moon right now"

[@GS-us9zy]

yea lol

[@gnaxvang3913]

Mason jones same

[@mason-jones]

Nice name dude

[@elcucumber2847]

ITS A DICK

[@ryanmichael6733]

now we get two antipodal points with both matching temperature and pressure, then lay down a piece of bread on each side. the ultimate earth sandwich.

[@UltimateMustacheX]

@Aiden Hafer But it's soggy :(

[@CarboomDisulfide]

UltimateMustacheX but inside is nice, the oozing substance, mmm

[@DougVoght]

😂

[@Affalterbach1967]

7:09 Pro Tip: use geometric average as an even faster way of finding the square root.

[@user-pk9qo1gd6r]

Well that's cheating

[@Empric]

"Drew a somewhat, funny W" lmfao

[@jayjaydesu2852]

Number 9 is so attractive I'll have two of them including a large one

[@justinl2009]

Jayjay Desu You are a legend.

[@josgeerink9434]

GTA SA

[@MetaAbusser]

TWO NUMBER 9's A NUMBER 9 LARGE

[@aaronmiles3963]

ill have two number nines but rotate the first one 180 degrees

[@spinach4379]

I'll have a number 6 with extra dip

[@filip93]

Oh, hi! See you in 3 months, Michael!!!!

[@leandrometfan]

Sad but true

[@red_e454]

Probably gonna be 4 months this time...

[@sulemanzurmati1167]

+Red_E Why?

[@misterdinner3648]

he was at vidcon

[@Dylan_M753]

Hey guys it's Scarce here

[@Wolky324]

Producer: "so what should this episode be about" Michael: "sure"

[@AntoniosRemasteredworks]

The KZbin loading animation goes exactly over the line of the thumbnail. *So satisfying*

[@crittermoded]

7:32 Michael's reaction to the noises were so incredibly genuine that it makes me believe that the scooter doing anything other than just toppling onto its side a few meters away was totally unplanned

[@chairmankimjongundprk]

4:00 “Here's a question” No it's not. That's a mug.

[@-saumya-81]

... or is it?

[@lvintagenerd]

Comedy heaven

[@alarmy5211]

@@-saumya-81 And how much does it weigh?

[@alarmy5211]

@name2 and are fingers real?

[@pentabitsmusic]

@@alarmy5211 and is vsauce's over 100 IQ?

[@FeedEX40]

4:09 I feel like James Hoffman would've had a strong opinion about this particular use of the theorem

[@johannes6277]

in denmark 2 is "to" 3 is "tre" and 4 is "fire" so we got alot of cosmic numbers