The Mandelbrot Set
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- čas přidán 30. 05. 2024
- 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 - Zábava
Michael definately lost the keys to the Vsauce channel
He will return one day 😔
Brace Pobo I don’t believe in god but I’m still gonna pray for him to return to vsauce
Vsauce is for the series Mind Field now
definitely*
Vsauce machine broke
I just wanted to let everybody know that Mandelbrot literally translates to almond bread
I'm hungry now
Thank you Farn, very cool
Polish?
@@MosesMatsepane i thought brot was german
@@MosesMatsepane German
0:14 DONG? No no, this has always been D!NG.
Nah
DONG was the previous name for this channel bruh
@@VarxenCore9 r/woooosh
@@commenturthegreat2915 yeah that was a bigass woosh, you beat me to it
@@commenturthegreat2915 nice try lmao
In kindergarten: “the numbers, what do they mean?”
In highschool: “the letters, what do they mean?”
in collage:
Those signs (the sigma, the integral, dy/dx, limits, Δ θ π φ ω σ λ τ) what do they mean?
@@technoultimategaming2999 theta? No bro I'm not in a frat
It is before high school (in my country).
@@fancraft1266
Same
I N D E E D
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
.;
. ,
.
n
. r..
09:41 On Michael's toys.. you never know what's gonna happen **kiss**
I thought I dreamed that
This is going in some meme stuff for sure.
@@tottle321 same
I had a erection
He embraced the meme
8:14 You can't draw ∞ as "oo", it's against the law!
9:36 OMG you beautiful genius :D
How you do infinite!
@@Qbeakl Same way you draw 8 just sideways.
Eight
9:37
The way Michael draws the symbol for infinity is unsettling
atzurblau why?
@@Jzombi301 he does circles rather than 8 laying down.
@@Green24152 Yeah, but he redrew it later and made a comment about it.
He did it for the kickz
9:37
Because on Michaels toys...
You never know what's going to happen
*kiss*
*Brazzers*
NSFW
😘
He pulled a fluffee
Cracked me up
The Mandelbrot set terrifies me. A single, small island on an eternal, bottomless sea.
maybe we're all small little islands too
Full of increasingly tiny islands
@@ColinPaddock and squiggly, spiderweb-like sand lines the closer you get
@@ColinPaddock no the Mandelbrot set is all connected
Yeah, it reminds me of an universe, or multiverse or cosmos, whatever our world.
It's amazing that he covered complex numbers, graphing them, iteration, sets, convergence, and divergence in just a 15 and a half min.
And in school it'd take like years
My guess for why the box says "IEN": the four pieces are shaped like 's', 'c', 'c', 'e', so it spells "science".
#ThomasDolby *has entered the chat*
I miss the "Hey Vsauce Michael here"
John Diggle you liking season 7 of arrow?
All of the things this man has brought for us to see and this is the observation that caught your attention.
Xvideos box?
@@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
Everyone does
I love how self aware Michael is about his place in meme history.
Vsauce(one of the smartest people in the world)
Also him: “what up ding dongers”
He's smart enough to know how to have fun:)
9:36 was an absolutely incredible moment
omg was your life changed...omg mine was too omg
3:29 meme gold
I doin' it
I'm partial to 9:43 myself
"If you don't subscribe to the curiosity box I will find you, and I will lecture you!"
but i is not a number it's a letter
How about 14:52
Micheal: what's up ding dongers
Gangster:what's this mufuka doing on our block cu
Gangster 2:don’t worry he coo
@@funnr Gangster 1:Aight then
"Gangster"
@Sassy The Sasquatch Remember when people stopped using the word gangster to describe the other group a decade ago
@couchpotato
sheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeit
“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
" It's really beautiful, I really wish it was real"
COMPLEX. Take it or leave.
One of my favorite statements about it!
You can't trick me. A new vsauce video was in that small box.
Did you just call me a *_Ding Donger_* ??
Don't pretend you didn't like it.
Ding my dong mommy OwO
@@KingHeadbang wanted to reply that
But I'm more of a *Dong* dinger.
You touch my tralala... my ding ding dong...
Please do a video on The Mandelbruh Set!
eyy chris
Bruh
Bruh
What is this comment
Bruh
00:34 I think Michael is officially insane
3:42
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.
RexusprimeIX well it definitely isn’t antimatter
9650000 or is it?
Dang I thought it was a liquid
It’s a bottle of ferrofluid
It's real and not imaginary.
9:44 it’s like he wants to be memed
Bec he wants?????????????????????
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.
I think he does tbh
Yes he does
Ikr 😂😜
somebody: yeah but i is a letter not a number
michael: *fuming* YUSTPITISWERTOGOD
@RileyBeez Etyptian numerals: *moo*
7:26 onederful
This comment is underrated.
@@trickytreyperfected1482 your reply is underrated
@@SaoirseVisceral Your face is underrated 😍
@@vanterbaba4110 🗿😐
@@SaoirseVisceral
>buys 4K monitor cos 4K iz future
>no 4K footage for years
>Vsauce uploads 4K video
>internet is not good enough to watch it
Why did you even get a 4k monitor in the first place
>owns GTX 1050 but runs games at 4k cos iz future and human eye is 10fps
@@dirtybongwater5751 how do you know that eyes is 10fps🤔
@@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.
@@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 🤣
Hey Michael, "cardioid" is misspelled on the map! Might wanna fix that real quick before shipping em' out
Whunchun I’m glad I wasn’t the only one who saw that
I came to the comments to point this out, lol
Unfortunately it's misspelled on the giant version at 14:53 too.
oof, Cardiod.
He's to smert too make that mestake.
3:29 the funniest thing Michael has ever done imo
1:30 Doesn’t every island technically have an infinite coastline because of the coastline paradox.
I don’t think so because there isn’t an infinitely small piece in real life
you can see how michael is slowly losing his mind with each video and its fantastic!
Oh boy.. isn't that awesome?
9:42
I can't believe I never noticed the signs before now. His sanity has been slowly dripping away for years...
Im not sayin anything but ive seen people on coke and he might be on it😂
@@appleislander8536his first vsauce videos were more like silly vsauce studio bloopers
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
David Růžička Bill Tavis
Welp.
Whenever I feel sad I always come back and rewatch old Vsauce/Ding dong videos cause Michael always makes me feel wanted
cause on michael's tooooys...
you never know what's gonna happen
**smooch**
This Michael seems cool. He should start a CZcams channel!
Yeah I know and it should be called Vsauce because it’s sounds cool
This other cool guy ironically named Michael has taken that name
@@bathbombman its a joke
theBathbombMan r/wooosh
@@Starbare6882 or maybe, @theBathbombMan KNEW that and you didnt pick up on the irony, making you whooshed
11:12 "I really wish it was real"
Yeah, I also wish it was *REAL* , but sadly, it's only *IMAGINARY* .
shut up
3:29
@Errl Shmirl
This is science
Not Religious sh*t
i
Actually, it is both real and imaginary... It's kind of complex...
I really like your videos. Your love for knowledge and your personality when explaining the subject is awesome.
13:24 - 13:31
Michael's true self shows, one day he will come back.
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!
Yep. The giant framed poster says it too. Whoops!
1:04 the Stanford Prison Experiment?! Exciting?! wow what a response Michael...
3:17 is why I love Michael
3:24
Michael: Someone probably said "Yeah but "i" is a letter, not a number."
Me: Hey, that's me!
í
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.
Jason Vint well said!
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.
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.
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.
@@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.
WHADDUP DING DONGERS
I spent more time than I would admit clicking left arrow button repeatedly on that part.
FibeVideo you forgot the asterisks
FibeVideo hey I have one of those
WADDUP HILA KLEINERS
9:47
10:40
Michael is so cute here
Lmao why’s he calling it D.O.N.G, this channel is and always has been called D!NG
Must have made a mistake
DONG was the previous name bruh
@@VarxenCore9 r/wooosh
Greg The dank memer yeah
That's what I'm thinking about
DONG is the new vsause
and vsauce is just a mindfield exclusive channel
No. He explained it in a mindfield video. He will upload again on Vsauce at sometime.
@@foty8679 Nah he's right.
@@gogogo123454321 no.
FotY yeah, he said that 2-3 years ago....
9:00 Mr. Stevens what did we learn about using parenthesis when squaring negative numbers?
Luckyeti you only need to do that if z is accompanied by a coefficient.
Thank goodness somebody pointed that out!
@@jerrettneandermeier9091 It does have a coefficient, -1.
@@EricM818 so if -1 is the coefficient....which number is the power squaring
@@nagatotzu8681 -1^2 =/= (-1)^2 - hence the utility of parenthesis
3:08 that lick tho
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!
Please, say, hey vsauce, Micheal here
I miss you😭😭
@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)
@@rawpie2 bruh have you played watch dogs
9:45 the suss level is high and this is y i love this *kiss back*
I seriously find more comedy in this than any other channel on CZcams
I’m currently watching this video on Benoit Mandelbrot’s birthday!
When will you do a face reveal?
Michael done that a couple of years ago!
Don't pressure him. He'll do it soon, you know how shy he is.
Don't be so *Eggy* 🤣🤣🤣
@@danii7120 *facepalm* Are you looking at the screen?!
Eggy543
r/woooosh
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.
We all love you ❤️ Don’t worry
Hey thanks @@saqibmudabbar that's really sweet to say! I love you too!
DONG's comment section is truly a beautiful place. We all love eachother. And knowledge.
Definitely @@imXarys this is a great space. Few videos have such intelligent and loving communities like those of Michael and the Vsauce guys.
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.
czcams.com/video/mH227HILqII/video.html
Find me in the comment section there 🥰
I'm always impressed and learn everytime something new. Love you guys
3:39 *confused screaming
“I don’t care. I sit the way I want.”
-Michael Stevens 2018
You damn rebel.
Remember when Vsauce(1) made videos that were not premium content
Cool! Talk about the Buddhabrot version.
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.
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.
Yes, you are the Messiah and we will forever eat up anything you produce!
Is there a typo on the map? It says "Cardiod" instead of "Cardioid".
i think it is
I thought so too!
@@ChazCharlie1 Yup. CARDIOID is the correct spelling.
Michael you're actually living your best life
I grew up watching vsauce and the music u used in those videos gives an intense nostalgia trip
I wish you'd just continue uploading on Vsauce
He is
He is - Mind Field
...Or do I?
@@fomod_ jajajhahahaha
Also, nice Komi bro pic
Eye witnessing Micheal's transformation into Kratos.
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!
On past occasions here and there - I tried to find a place where the Mandelbrot Set (or at least the concept behind it's geometry) was explained in a way that I could understand. This guy here (Michael) finally did just that in this video - and in a way that was both clear and concise. He explains the odd "equal" sign: that it means the relationship between what is on either side of that 'equal sign' is based on a repeating function which loops a value back -based on a given starting value. And he gives a good demonstration of how that works (along with giving a quick example of complex numbers). People have SAID it was fairly simple - but this is the FIRST TIME - it was ever explained in a way that I found understandable! So, Thank You, Michael for doing a nice job of that in this video!
I just received one by Bill Tavis. I'm from Spain. Everything in the package was perfect. Great purchase.
3:29 My man Michael just pulled a Pewdiepie
shhhtfkp
He was publicly and unapologetically anti-Semitic?
13:23
@@nathanhoffmann1747 wat
Nathan, you must be thinking of someone else
Love that you generously gave us two free videos without at all acknowledging how all of your content used to be free
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❗️😊👍
Hello fellow Ding Dongers in the comment section.
Hello fello *DING DONGER* !!
Ooh my ding ding dong.
Hello my Ding Donger brother
The NuggetBacon hi there friend
Hello fellow *_DINGDONGERS_*
*Psst*
_I think we're owed an explanation on the striking similarities between this misspelled nonsense and Bill Tavis' version_
I think so too! But they won't even return my messages...
@@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.
@@TroyWuelfing Thank you for the support!
@@loremipsum313 that's awesome!
@@theTavis01 did they contact you?
ty for this. been seeing this in a lot of "Scale past the universe" videos and didnt know wtf was going on
I'm not sure if this will be seen, but thanks for the closing words, I really needed them
1:55 when Michael suddenly gets possessed by Jake.
Come on Dong guys, especially michael, you have to ackowledge bill tavis!!!
Vsuace can make anything Complex into something any"thing" and anyone can do
It literally took me under a second to notice that Mandelbrot poster misspelled cardioid, front and center. How did no one notice that before it printed?
Yeah lol, the words in the literal biggest font on the poster are misspelled. Lots of people are saying it's a copyright dodger to the original map, and honestly im inclined to put a little stock in that considering how glaring it is
Ding dongers?
Oh no I'm scared for my life
Ding dongers
Ding my Dong fellow ding dongers
michael started his youtube career by shitposting so i'm not surprised tbh
EpicRainbowLollipop shitposting.. whats your favorite social media? reddit?
Hey Michael, Vsauce here
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.
maximum maxerz you said it
wat up ding-dongers
lul 21 hmm it’s almost like he uses like bots, because no one likes him or his comments
@@greenoleeno3793
FEEL THE PAIN IN THOSE WORDS!
Haha that kiss! 😂😂 your humor is right up my alley bruh! Keep kickin’
My youtube isn't working well and currently Michael is vibrating violently
oh no
Isn't it cardioid instead of Cardiod?
That is correct
Oof
Yep. Probably my biggest gripe with the map Michael's showing here, but otherwise it's solid
@@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.
Ouch! Proofreading Pays!
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
Yay! Jonathan Coulton!
@@RRM_Personal wow it totally is....i miss his music
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
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
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.
1:20 tsk tsk tsk sneaky michael, promoting that merch I see
Slartibartfast would be proud of that coastline.
I got that poster from amazon last week. Been watching vsauce for years, never knew this video existed
Okay so idk if other people have noticed, but on the app you can now see a clip of the beginning of the video without sound, so it showed the captions. I read the caption and it was talking about ding dongs and cats playing the banjo so I obviously thought the google autogenerated captions were wrong. They were not wrong.
RayisOkay what?
Assuming there is a multiverse, could there be a president V-Sauce somewhere?
Who would his cabinet and vice president be?
There should be.
Anyone, infinite universes, might even be u
Vice president would be Jake from Vsauce 3
I really feel like Bill Nye would be on cabinet.
It could be BILLY
(VSauce2 reference)
I used your Prime Number video as a "Pomodoro" timer back when you first released it... still haunts me to this day. Lolol ❤️
Omg Michael your humour brings me visceral happiness