The Mandelbrot Set

I will send my brain food right to your door: www.curiositybox.com
/ tweetsauce
/ electricpants
Vsauce PO Box: PO Box 33168
L.A. CA 90033
**Click "SHOW MORE" For Links**
Mandelbrot Zoom
• Video
**CREDITS**
Hosted by
Michael Stevens
Edited by
Jack Merline
VFX by
Eric Langlay
( / ericlanglay )
Music by Jake Chudnow
( / jakechudnow )
and Audio Network
(www.audionetwork.com)
**VSAUCE LINKS**
Vsauce1: / vsauce1
Vsauce2: / vsauce2
Vsauce3: / vsauce3

[@passdoutcouchpotatos]

Michael definately lost the keys to the Vsauce channel

[@TehPobo]

He will return one day 😔

[@ICECREAMan2991]

Brace Pobo I don’t believe in god but I’m still gonna pray for him to return to vsauce

[@dickjohnson4447]

Vsauce is for the series Mind Field now

[@JorgetePanete]

definitely*

[@Eli-uo7nj]

Vsauce machine broke

[@farn0153]

I just wanted to let everybody know that Mandelbrot literally translates to almond bread

[@vivilonrane1330]

I'm hungry now

[@camnwalter]

Thank you Farn, very cool

[@MosesMatsepane]

Polish?

[@Despotic_Waffle]

@@MosesMatsepane i thought brot was german

[@LePvpLer]

@@MosesMatsepane German

[@obisidian9243]

In kindergarten: “the numbers, what do they mean?” In highschool: “the letters, what do they mean?”

[@technoultimategaming2999]

in collage: Those signs (the sigma, the integral, dy/dx, limits, Δ θ π φ ω σ λ τ) what do they mean?

[@dysonspreybar4903]

@@technoultimategaming2999 theta? No bro I'm not in a frat

[@fancraft1266]

It is before high school (in my country).

[@technoultimategaming2999]

@@fancraft1266 Same

[@NStripleseven]

I N D E E D

[@Epinardscaramel]

8:14 You can't draw ∞ as "oo", it's against the law!

[@Epinardscaramel]

9:36 OMG you beautiful genius :D

[@Qbeakl]

How you do infinite!

[@funcentral2439]

@@Qbeakl Same way you draw 8 just sideways.

[@Qbeakl]

Eight

[@mrfoldmyshirt4404]

9:37

[@CyclopsToppingWolverine]

Only Michael of Vsauce could say, "I also listed off prime numbers for three hours" and follow it immediately with "that was a treat for me ..." and it sound normal

[@drakeramoray7574]

.; . , . n . r..

[@JohnDiggle21]

I miss the "Hey Vsauce Michael here"

[@lifestormer1051]

John Diggle you liking season 7 of arrow?

[@northieee]

All of the things this man has brought for us to see and this is the observation that caught your attention.

[@renejotas]

Xvideos box?

[@JohnDiggle21]

@@lifestormer1051 yeah i have, but i have enjoyed the crossover even more, especially the thing that Earth-90 Flash said to Diggle, and of course the title card for the crossover next season

[@plaguedoctor5097]

Everyone does

[@swfreak258]

The way Michael draws the symbol for infinity is unsettling

[@Jzombi301]

atzurblau why?

[@Green24152]

@@Jzombi301 he does circles rather than 8 laying down.

[@trickytreyperfected1482]

@@Green24152 Yeah, but he redrew it later and made a comment about it.

[@vanillesosse]

He did it for the kickz

[@mrfoldmyshirt4404]

9:37

[@blockhead134]

The Mandelbrot set terrifies me. A single, small island on an eternal, bottomless sea.

[@sappy9320]

maybe we're all small little islands too

[@ColinPaddock]

Full of increasingly tiny islands

[@zzztriplezzz5264]

@@ColinPaddock and squiggly, spiderweb-like sand lines the closer you get

[@keonscorner516]

@@ColinPaddock no the Mandelbrot set is all connected

[@mathsciencefancier]

Yeah, it reminds me of an universe, or multiverse or cosmos, whatever our world.

[@mdrzn]

09:41 On Michael's toys.. you never know what's gonna happen **kiss**

[@tottle321]

I thought I dreamed that

[@ShadowKick32]

This is going in some meme stuff for sure.

[@Stormdrigger]

@@tottle321 same

[@matheusventura4289]

I had a erection

[@hairohukosu433]

He embraced the meme

[@drockomoush]

Because on Michaels toys... You never know what's going to happen *kiss*

[@Squilfinator]

*Brazzers*

[@bland9876]

NSFW

[@connw22]

😘

[@creator4413]

He pulled a fluffee

[@erichillis3528]

Cracked me up

[@commenturthegreat2915]

0:14 DONG? No no, this has always been D!NG.

[@DevilsBeefCake]

Nah

[@VarxenCore9]

DONG was the previous name for this channel bruh

[@commenturthegreat2915]

@@VarxenCore9 r/woooosh

[@gamerwizard69]

@@commenturthegreat2915 yeah that was a bigass woosh, you beat me to it

[@VarxenCore9]

@@commenturthegreat2915 nice try lmao

[@natepolidoro4565]

It's amazing that he covered complex numbers, graphing them, iteration, sets, convergence, and divergence in just a 15 and a half min.

[@ermlerml7925]

And in school it'd take like years

[@Pxxnks]

Did you just call me a *_Ding Donger_* ??

[@KingHeadbang]

Don't pretend you didn't like it.

[@novafawks]

Ding my dong mommy OwO

[@topa9487]

@@KingHeadbang wanted to reply that

[@_albedo_7704]

But I'm more of a *Dong* dinger.

[@jackshoemaker9023]

You touch my tralala... my ding ding dong...

[@powerstation0872]

I love how self aware Michael is about his place in meme history.

[@johnchessant3012]

My guess for why the box says "IEN": the four pieces are shaped like 's', 'c', 'c', 'e', so it spells "science".

[@Perririri]

#ThomasDolby *has entered the chat*

[@ChrisKogos]

Please do a video on The Mandelbruh Set!

[@AnnoyedArt1256]

eyy chris

[@HosheaManein]

Bruh

[@EmpressSketch]

Bruh

[@eboone]

What is this comment

[@thedab156]

Bruh

[@lytethekyte]

You can't trick me. A new vsauce video was in that small box.

[@rorysnow7937]

3:29 meme gold

[@everyonesaidthatmynameissi4353]

I doin' it

[@EndlessPlane]

I'm partial to 9:43 myself

[@remple1769]

"If you don't subscribe to the curiosity box I will find you, and I will lecture you!"

[@flossenking]

but i is not a number it's a letter

[@SaugatChamling]

How about 14:52

[@spaghetti4245]

Vsauce(one of the smartest people in the world) Also him: “what up ding dongers”

[@carealoo744]

He's smart enough to know how to have fun:)

[@emanuelldaluzcaminha9122]

" It's really beautiful, I really wish it was real" COMPLEX. Take it or leave.

[@birdydragon]

One of my favorite statements about it!

[@cluckcluck236]

Hey Michael, "cardioid" is misspelled on the map! Might wanna fix that real quick before shipping em' out

[@austinzupon]

Whunchun I’m glad I wasn’t the only one who saw that

[@jesusthroughmary]

I came to the comments to point this out, lol

[@GodlessPhilosopher]

Unfortunately it's misspelled on the giant version at 14:53 too.

[@user-me7hx8zf9y]

oof, Cardiod.

[@evanward4303]

He's to smert too make that mestake.

[@simonockas]

This Michael seems cool. He should start a KZbin channel!

[@TheRealQuenny]

Yeah I know and it should be called Vsauce because it’s sounds cool

[@shoe_consumer5209]

This other cool guy ironically named Michael has taken that name

[@limitlesssfs4392]

@@bathbombman its a joke

[@Starbare6882]

theBathbombMan r/wooosh

[@Ldforthetree]

@@Starbare6882 or maybe, @theBathbombMan KNEW that and you didnt pick up on the irony, making you whooshed

[@user-rs3lg6un4n]

9:36 was an absolutely incredible moment

[@chriskrausesmovie]

omg was your life changed...omg mine was too omg

[@karatehh6966]

“What’s up DingDongers, my name is Michael, and today we’re going to be listing off the 8 breeds of cats that might be able to learn how to play the banjo” Best ten seconds of my life

[@feliscatusgaming3158]

Micheal: what's up ding dongers Gangster:what's this mufuka doing on our block cu

[@funnr]

Gangster 2:don’t worry he coo

[@feliscatusgaming3158]

@@funnr Gangster 1:Aight then

[@KaliTakumi]

"Gangster"

[@KaliTakumi]

@Sassy The Sasquatch Remember when people stopped using the word gangster to describe the other group a decade ago

[@litigation_jackson]

@couchpotato sheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeit

[@RexusprimeIX]

14:27 "This is the only clue I'll give you" *Knocks on the object* So it's a solid object, that narrows it down a bit.

[@internet_user1131]

RexusprimeIX well it definitely isn’t antimatter

[@dosenotcompute7733]

9650000 or is it?

[@bobbychicken0393]

Dang I thought it was a liquid

[@ad-sd-vids5332]

It’s a bottle of ferrofluid

[@stykytte]

It's real and not imaginary.

[@fun_nuggets2514]

00:34 I think Michael is officially insane

[@user-yk8tk6vr1n]

3:42

[@SahhiiChannel]

7:26 onederful

[@trickytreyperfected1482]

This comment is underrated.

[@emptytrashcan33]

@@trickytreyperfected1482 your reply is underrated

[@vanterbaba4110]

@@emptytrashcan33 Your face is underrated 😍

[@emptytrashcan33]

@@vanterbaba4110 🗿😐

[@vanterbaba4110]

@@emptytrashcan33

[@1293ST]

>buys 4K monitor cos 4K iz future >no 4K footage for years >Vsauce uploads 4K video >internet is not good enough to watch it

[@munjee2]

Why did you even get a 4k monitor in the first place

[@dirtybongwater5751]

>owns GTX 1050 but runs games at 4k cos iz future and human eye is 10fps

[@Rajat-Sharma1]

@@dirtybongwater5751 how do you know that eyes is 10fps🤔

[@trent5807]

@@Rajat-Sharma1 Damnit. Every time someone talks about it, it goes down by 1 fps. We're going to be seeing life in the eyes of a photon if you aren't careful.

[@Rajat-Sharma1]

@@trent5807 I have already discussed that with many of my friends and they discussed with a yet larger group. All of us are now able to see in - 1345544554 fps 🤣

[@3ckitani]

11:12 "I really wish it was real" Yeah, I also wish it was *REAL* , but sadly, it's only *IMAGINARY* .

[@2neutrino]

shut up

[@FuNLpMeineURL]

3:29

[@-Sp1n]

@Errl Shmirl This is science Not Religious sh*t

[@-Sp1n]

i

[@rufo]

Actually, it is both real and imaginary... It's kind of complex...

[@ursidae97]

somebody: yeah but i is a letter not a number michael: *fuming* YUSTPITISWERTOGOD

[@kaggapu]

@RileyBeez Etyptian numerals: *moo*

[@zergy55]

Whenever I feel sad I always come back and rewatch old Vsauce/Ding dong videos cause Michael always makes me feel wanted

[@HamzaElkhatib]

9:44 it’s like he wants to be memed

[@Hema8551]

Bec he wants?????????????????????

[@Templarfreak]

Michael has always been a weird guy. He was literally the main character of a music video called Bearded Nun that was a aprody of Lady Gaga's Judas.

[@connorcriss]

I think he does tbh

[@necromancer2367]

Yes he does

[@viciousviego2478]

Ikr 😂😜

[@whcw11]

From the Mandelmap website: "No corners were cut and nothing was rushed in the making of this poster; everything was created to the highest level of finish possible." Then there's this with its Main Cardiod

[@mrwess1927]

David Růžička Bill Tavis

[@NStripleseven]

Welp.

[@thatcrystalpie]

cause on michael's tooooys... you never know what's gonna happen **smooch**

[@johnrock401]

I really like your videos. Your love for knowledge and your personality when explaining the subject is awesome.

[@maximunnit]

at 10:20 you can see a mistake on the map it says, "Main Cardiod," but it should say, "Main Cardioid" uh oh! that's no bueno!

[@zankumo]

Yep. The giant framed poster says it too. Whoops!

[@BruceCinema1337]

you can see how michael is slowly losing his mind with each video and its fantastic!

[@elianagriffith9510]

Oh boy.. isn't that awesome?

[@imaginerus]

9:42

[@appleislander8536]

I can't believe I never noticed the signs before now. His sanity has been slowly dripping away for years...

[@georgeharrold5423]

Im not sayin anything but ive seen people on coke and he might be on it😂

[@svz5990]

​@@appleislander8536his first vsauce videos were more like silly vsauce studio bloopers

[@therationale2289]

3:29 the funniest thing Michael has ever done imo

[@chrissie1057]

thank you. I love making art with fractals and get how it works but this really explains it. I love what you are doing. what a great idea!

[@funnr]

WHADDUP DING DONGERS

[@naufalap]

I spent more time than I would admit clicking left arrow button repeatedly on that part.

[@Kommunistpartiet]

FibeVideo you forgot the asterisks

[@micheleac66]

FibeVideo hey I have one of those

[@nullset2]

WADDUP HILA KLEINERS

[@marcocampobello7981]

9:47

[@av4787]

Please, say, hey vsauce, Micheal here I miss you😭😭

[@av4787]

@M. de k. You do miss your ex if you broke up. You do miss her, girlfriend or not her. (Please dont say you dont, maybe you don't, this is just a example, don't sue me)

[@av4787]

@@rawpie2 bruh have you played watch dogs

[@josephmcluckie2512]

1:30 Doesn’t every island technically have an infinite coastline because of the coastline paradox.

[@theodoreklopman7057]

I don’t think so because there isn’t an infinitely small piece in real life

[@greysonmiller9407]

13:24 - 13:31 Michael's true self shows, one day he will come back.

[@theredfire14]

9:00 Mr. Stevens what did we learn about using parenthesis when squaring negative numbers?

[@jerrettneandermeier9091]

Luckyeti you only need to do that if z is accompanied by a coefficient.

[@pavlevilotijevic7266]

Thank goodness somebody pointed that out!

[@EricM818]

@@jerrettneandermeier9091 It does have a coefficient, -1.

[@nagatotzu8681]

@@EricM818 so if -1 is the coefficient....which number is the power squaring

[@anywallsocket]

@@nagatotzu8681 -1^2 =/= (-1)^2 - hence the utility of parenthesis

[@jesssald]

When will you do a face reveal?

[@eggy543]

Michael done that a couple of years ago!

[@danii7120]

Don't pressure him. He'll do it soon, you know how shy he is.

[@jesssald]

Don't be so *Eggy* 🤣🤣🤣

[@eggy543]

@@danii7120 *facepalm* Are you looking at the screen?!

[@avathy9813]

Eggy543 r/woooosh

[@ayem9504]

Haha that kiss! 😂😂 your humor is right up my alley bruh! Keep kickin’

[@HuntressCody]

3:24 Michael: Someone probably said "Yeah but "i" is a letter, not a number." Me: Hey, that's me!

[@ManioqIV]

í

[@mebamme]

Is there a typo on the map? It says "Cardiod" instead of "Cardioid".

[@Zeph_]

i think it is

[@ChazCharlie1]

I thought so too!

[@FractalWoman]

@@ChazCharlie1 Yup. CARDIOID is the correct spelling.

[@charissaschoon9206]

“I don’t care. I sit the way I want.” -Michael Stevens 2018 You damn rebel.

[@WhiskyLima]

Michael you sir are one of my heroes. You have just made my imaginary dead or alive tea party! I love your sense of humour but more what you do for charity is inspiring! Keep it up!

[@100kleitung7]

9:00 shouldn't it be (-1)^2 rather than -1^2

[@luhdooce]

@@tessenary_ no it's not

[@SoI-]

@@tessenary_ put in your calculator -1*-1

[@omarcaballero2011]

@@SoI- bro -1² means -(1²)

[@SoI-]

@@omarcaballero2011 just like 1^2 is 1^2^2

[@ViratKohli-jj3wj]

Both are same

[@weibull760]

I love Michael and I love Vsauce but after reading the comments, seeing Bill's map, and reading his explanations of the gridlines and just the sheer amount of effort and forethought that went into his map, I'm off to buy his version. It is a thing of beauty and a work of art! I feel bad for Bill since Michael and team did not give him credit but at least watching this video lead me to finding something worth purchasing.

[@cellardoor7500]

Jason Vint well said!

[@user-iu1xg6jv6e]

I used to respect them until they started mind field and curiosity box . It appears that money is more important for them than sharing interesting ideas and knowledge. I think they stopped posting in main channel to promote mind field. And look how he tease us in what inside the box which cost much for lot of viewers. He went that low to advertise the box.

[@SirTatManTat]

Dude This poster is raising money for Alzhiemers research, Mind field allows him to do larger scale projects, and the curiosity box is a nice little gift for kids, i don't get why any of this is a bad thing. People have similar ideas all the time, they don't have to be ripping eachother off.

[@WinterandNoodle]

SirTatmanTat No dude, the poster is a ripped off. It even has the grid in the water like the original map has, just inaccurate because it didn't fit in the scale. The curiosity box isn't even a good box, it's mostly filled with random items that have no relevancy or anything to play with. Mind field is just arm-chair psychology show. And charity doesn't work, the money usually goes into the revue than the research itself.

[@noobpro9759]

@@WinterandNoodle cynicism at its finest ladies and gentlemen. It a box of things that (if you're actually into this kind of stuff) makes you think and could possibly get you thinking about various forms of science. It doesn't have to be something that physically entertains you. What are you 5? Do you need jingly keys in your face? Mindfield i haven't really watched so i can't say much about that. And you have no clue what they do with their money unless you have somehow hacked into their records soooo.

[@fomod_]

I wish you'd just continue uploading on Vsauce

[@epicstimulus282]

He is

[@Elcrisso1]

He is - Mind Field

[@fomod_]

...Or do I?

[@qualquerum3158]

@@fomod_ jajajhahahaha

[@NothingXemnas]

Also, nice Komi bro pic

[@lubibubi6380]

I'm always impressed and learn everytime something new. Love you guys

[@peril7531]

Lmao why’s he calling it D.O.N.G, this channel is and always has been called D!NG

[@gutsy417]

Must have made a mistake

[@VarxenCore9]

DONG was the previous name bruh

[@l.o.gfauzan1877]

@@VarxenCore9 r/wooosh

[@budofchaos]

Greg The dank memer yeah

[@brookeguthrie3417]

That's what I'm thinking about

[@hammad8707]

DONG is the new vsause and vsauce is just a mindfield exclusive channel

[@foty8679]

No. He explained it in a mindfield video. He will upload again on Vsauce at sometime.

[@gogogo123454321]

@@foty8679 Nah he's right.

[@something7836]

@@gogogo123454321 no.

[@aboriani]

FotY yeah, he said that 2-3 years ago....

[@1976Joachim]

Isn't it cardioid instead of Cardiod?

[@c0rtikoZteroids1]

That is correct

[@charonder]

Oof

[@Madmagicanman1]

Yep. Probably my biggest gripe with the map Michael's showing here, but otherwise it's solid

[@theTavis01]

@@Madmagicanman1 they also totally made up the equipotential lines and external rays that make up the grid in the water... they only put them in there because they look so good on my original Mandelmap poster, except that I actually solved for them and drew them correctly! So yeah, other than the huge obvious typo, the made-up grid lines, and the fact that he totally copied my idea without giving even the slightest hint of a shout-out, it does actually look pretty decent I'll give it that.

[@davetir]

Ouch! Proofreading Pays!

[@adrianajohnson9632]

Soooo awesome! Thank you!!

[@obisidian9243]

The Mandelbrot set is the set of complex numbers c for which the function f (z) = z2 + c does not diverge when iterated from z = 0, i.e., for which the sequence f (0), f(f(0)), etc., remains bounded in absolute value. Its definition is credited to Adrien Douady who named it in tribute to the mathematician Benoit Mandelbrot. The set is connected to a Julia set, and related Julia sets produce similarly complex fractal shapes. Mandelbrot set images may be created by sampling the complex numbers and testing, for each sample point c, whether the sequence f (0), f(f(0)),... goes to infinity (in practice - whether it leaves some predetermined bounded neighborhood of 0 after a predetermined number of iterations). Treating the real and imaginary parts of c as image coordinates on the complex plane, pixels may then be coloured according to how soon the sequence f (0), f(f(0)),... crosses an arbitrarily chosen threshold, with a special color (usually black) used for the values of c for which the sequence has not crossed the threshold after the predetermined number of iterations (this is necessary to clearly distinguish the Mandelbrot set image from the image of its complement). If c is held constant and the initial value of z-denoted by z0 is variable instead, one obtains the corresponding Julia set for each point c in the parameter space of the simple function. Images of the Mandelbrot set exhibit an elaborate and infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications. The "style" of this repeating detail depends on the region of the set being examined. The set's boundary also incorporates smaller versions of the main shape, so the fractal property of self-similarity applies to the entire set, and not just to its parts. The Mandelbrot set has become popular outside mathematics both for its aesthetic appeal and as an example of a complex structure arising from the application of simple rules. It is one of the best-known examples of mathematical visualization and mathematical beauty.

[@Zeldaschampion]

Eye witnessing Micheal's transformation into Kratos.

[@HTPCYMC]

Hey Michael, Vsauce here

[@greenoleeno3793]

Wow, this comment is very thoughtful, funny, and original. It really relates to the meaning of the video and it's not a dead unfunny joke related to the person in the video. Man, people from SiIvaGunner and people that are everywhere are very funny. Those sans memes and those anime memes are just philosophical. I feel like Shakesphere loves those niko niko niis, and those sprite cranberries. I think you should be nominated for Oscar.

[@straightbussin]

maximum maxerz you said it

[@unintelligible3985]

wat up ding-dongers

[@kapjoteh]

lul 21 hmm it’s almost like he uses like bots, because no one likes him or his comments

[@yatint9665]

@@greenoleeno3793 FEEL THE PAIN IN THOSE WORDS!

[@Crabs69]

I grew up watching vsauce and the music u used in those videos gives an intense nostalgia trip

[@jacobthomas2948]

I'm not sure if this will be seen, but thanks for the closing words, I really needed them

[@matthewpapa5529]

1:04 the Stanford Prison Experiment?! Exciting?! wow what a response Michael...

[@gabrieletsgo1218]

9:45 the suss level is high and this is y i love this *kiss back*

[@SloaneGrey]

Love that you generously gave us two free videos without at all acknowledging how all of your content used to be free

[@FinlayHamm]

Happy birthday to the mandelbrot guy

[@Nugcon]

Hello fellow Ding Dongers in the comment section.

[@yugal.prakash]

Hello fello *DING DONGER* !!

[@Reveticate]

Ooh my ding ding dong.

[@blueportal4932]

Hello my Ding Donger brother

[@StationOfTerrapin]

The NuggetBacon hi there friend

[@Stan2016Games]

Hello fellow *_DINGDONGERS_*

[@TheGoupil19]

Come on Dong guys, especially michael, you have to ackowledge bill tavis!!!

[@tooblis]

10:40 Michael is so cute here

[@TheFishKing64]

Vsuace can make anything Complex into something any"thing" and anyone can do

[@NobodyXChallengerYT]

*Psst* _I think we're owed an explanation on the striking similarities between this misspelled nonsense and Bill Tavis' version_

[@theTavis01]

I think so too! But they won't even return my messages...

[@TroyWuelfing]

@@theTavis01 I have ordered your poster because its beautiful and i wanted you to have some money for your art and add something my visitors wont understand to my wall. also i hope that Michael reaches out to you and makes this right. he seems like a good guy so lets hope he does the right thing.

[@theTavis01]

@@TroyWuelfing Thank you for the support!

[@theTavis01]

@@loremipsum313 that's awesome!

[@euleer.-.9385]

@@theTavis01 did they contact you?

[@JimbobH]

Remember when Vsauce(1) made videos that were not premium content

[@zappawoman5183]

Slartibartfast would be proud of that coastline.

[@nicosheldonflorendo]

Thanks for breaking this down like this.

[@ryandaley1402]

love this channel because Michael actually posts frequently, I love Vsauce and I understand the perfectionism there, its deserved however I like these videos and its great to be able to get more.

[@AspienPadda]

15:07 brought stinging tears to my eyes. I'm leaving this shortcut to it here so I may listen to it over and over. I'm absolutely betting it could possibly save a life, likely mine. I love you too Michael, thanks for saying you're glad I'm here I honestly needed that.

[@saqibmudabbar]

We all love you ❤️ Don’t worry

[@AspienPadda]

Hey thanks @@saqibmudabbar that's really sweet to say! I love you too!

[@imXarys]

DONG's comment section is truly a beautiful place. We all love eachother. And knowledge.

[@AspienPadda]

Definitely @@imXarys this is a great space. Few videos have such intelligent and loving communities like those of Michael and the Vsauce guys.

[@saqibmudabbar]

I hope you’re doing great! Here’s a hug from me. 🤗 Here’s a lovely video from my country, it will make your day, I promise. kzbin.info/www/bejne/o3mVY2p-frGkf6s Find me in the comment section there 🥰

[@aikenanderson22]

I’m currently watching this video on Benoit Mandelbrot’s birthday!

[@jackstewart8406]

I said wow exactly when wow flashed up and got completely spooked. I said wow again just to make sure I wasn't being watched

[@LittleBitVic]

"Mandelbrot Set, you're a Rorschach Test on fire. You're a day-glo pterodactyl. You're a heart-shaped box of springs and wire. You're one badass fracking fractal! And you're just in time to save the day~ Sweeping all our fears away~ You can change the world in a tiny way..." --Jonathan Coulton

[@mustardpuddle]

"If you ever lose your way, A butterfly will flap its wings from a million miles away... and a little miracle will come to take you home" --JoCo

[@moosesurgeon]

​@@mustardpuddle "Just take a point called Z in the complex plane Let Z1 be Z squared plus C And Z2 is Z1 squared plus C And Z3 is Z2 squared plus C And so on If the series of Z's should always stay Close to Z and never trend away That point is in the Mandelbrot Set"

[@GoikOShea]

Take a point named C in the complex plane And let Z1 be Z squared plus C And Z2 is Z1 squared plus C And Z3 is Z2 squared plus C and so on If the series of Zs will always stay Close to Z and never trend away That point is in the Mandelbrot Set

[@RRM_Personal]

Yay! Jonathan Coulton!

[@Vesperon]

@@RRM_Personal wow it totally is....i miss his music

[@fartballs4905]

I seriously find more comedy in this than any other channel on KZbin

[@summerlakephotog8239]

I have watched several explanations of the Mandelbrot set. I was skeptical about this at first because of the manic intro about cats etc. However, this explanation is by far the easiest to understand. Good job❗️😊👍

[@slook7094]

But that doesn't say cardioid. It says cardiod.

[@jay-wq5lw]

hmm what’s the difference

[@germansnowman]

@@jay-wq5lw It’s wrong. An “-oid” is something that is shaped like another thing. For example, an android is a man-shaped machine (Greek andros = man). So, cardioid = heart-shaped.

[@jay-wq5lw]

ok

[@BernardoMarquesIdeia]

3:29 My man Michael just pulled a Pewdiepie

[@piero2066]

shhhtfkp

[@nathanhoffmann1747]

He was publicly and unapologetically anti-Semitic?

[@izuix5629]

13:23

[@wheresmycar9559]

@@nathanhoffmann1747 wat

[@cornekeetels5293]

Nathan, you must be thinking of someone else

[@conswizzy710]

I love you Michael, really.

[@parrotlord7393]

As soon as I’ve seen the title I know everything about that shape.

[@WhattheHectogon]

Oof...I love the video and the poster, but it says Main Cardiod instead of Cardioid**

[@cavalex]

Maybe thats the plural(??) idk

[@WhattheHectogon]

@@cavalex Can't be cuz there's only one cardioid, I think it's just a typo

[@munjee2]

Like salvia

[@cavalex]

@@WhattheHectogon Yeah probably its a typo

[@maracachucho8701]

I want to unknow this

[@dbarr49]

I wish Michael could understand that all of his content is great. There is no need to feel as if one video is unworthy. Just because you have an awesome show in Mind field doesn't mean that every video has to hold some answer to the universe (which most of them do). We love you Michael, just be yourself.

[@gogogooner]

Yes, you are the Messiah and we will forever eat up anything you produce!

[@boluaygepong5920]

Michael you're actually living your best life

[@edenb329]

i like the ability to zoom/hone-in on differences in fractally complex-sets. it reminds me of our ability to seemingly infinitely zoom IRL, down to quarks and such.

[@rodrigovillanueva5384]

I just received one by Bill Tavis. I'm from Spain. Everything in the package was perfect. Great purchase.

[@NewbyTon]

Ding dongers? Oh no I'm scared for my life

[@namelessLesbian]

Ding dongers

[@rooivalk1]

Ding my Dong fellow ding dongers

[@EpicRainbowLollipop]

michael started his youtube career by shitposting so i'm not surprised tbh

[@bojackson3073]

EpicRainbowLollipop shitposting.. whats your favorite social media? reddit?

[@bobbyv3]

I used your Prime Number video as a "Pomodoro" timer back when you first released it... still haunts me to this day. Lolol ❤️

[@jessethomas9676]

I got that poster from amazon last week. Been watching vsauce for years, never knew this video existed

[@quackerzdb]

Hey VSauce. You should really give the original creator, Bill Tavis, a % of those poster sales.

[@theTavis01]

Or at the very least a shout out! He left it up to you to do that (thanks)!

[@ARandomUsernameForMe]

Nice try Bill Travis ;)

[@Vesperon]

This is not the same. Bill's is mathmatically accurate. This takes a more whimsical approach

[@RedHairdo]

@@Vesperon Exactly. Sharing the % of sales is not enough, as DONG's version of the map contains mathematical (and ortography) inaccuracies, which spreads miseducation as opposed to the original that spreads education.

[@Vesperon]

@@RedHairdo spreads miseducation? that's not the point of something that's whimsical

[@goldenceaser7839]

Assuming there is a multiverse, could there be a president V-Sauce somewhere? Who would his cabinet and vice president be?

[@stampfertnilpfert4485]

There should be.

[@inturnetexplorer8005]

Anyone, infinite universes, might even be u

[@yugal.prakash]

Vice president would be Jake from Vsauce 3

[@goldenceaser7839]

I really feel like Bill Nye would be on cabinet.

[@qwertyasdf9290]

It could be BILLY (VSauce2 reference)

[@clickbaitpolice9792]

ty for this. been seeing this in a lot of "Scale past the universe" videos and didnt know wtf was going on

[@mistirion4929]

For everyone thinking "Why the hecc would someone ever need complex numbers?" Try to study electrical engineering, it's kind of important there. It's also pretty easy but the connection between reality and theory is kinda hard to figure out