The Mandelbrot Set

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  • Опубліковано 28 гру 2024

КОМЕНТАРІ • 4,5 тис.

  • @passdoutcouchpotatos
    @passdoutcouchpotatos 6 років тому +9934

    Michael definately lost the keys to the Vsauce channel

    • @dystopic-q9m
      @dystopic-q9m 6 років тому +199

      He will return one day 😔

    • @ICECREAMane1017
      @ICECREAMane1017 6 років тому +120

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

    • @dickjohnson4447
      @dickjohnson4447 6 років тому +80

      Vsauce is for the series Mind Field now

    • @JorgetePanete
      @JorgetePanete 6 років тому +38

      definitely*

    • @Karl_Lives
      @Karl_Lives 6 років тому +46

      Vsauce machine broke

  • @farn0153
    @farn0153 6 років тому +4032

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

  • @CyclopsToppingWolverine
    @CyclopsToppingWolverine 6 років тому +1068

    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

  • @obisidian9243
    @obisidian9243 4 роки тому +2096

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

  • @Epinardscaramel
    @Epinardscaramel 5 років тому +1616

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

    • @Epinardscaramel
      @Epinardscaramel 5 років тому +200

      9:36 OMG you beautiful genius :D

    • @Qbeakl
      @Qbeakl 4 роки тому +6

      How you do infinite!

    • @RIPToot
      @RIPToot 4 роки тому +25

      @@Qbeakl Same way you draw 8 just sideways.

    • @Qbeakl
      @Qbeakl 4 роки тому +4

      Eight

    • @mrfoldmyshirt4404
      @mrfoldmyshirt4404 4 роки тому +3

      9:37

  • @JohnDiggle21
    @JohnDiggle21 6 років тому +931

    I miss the "Hey Vsauce Michael here"

    • @lifestormer1051
      @lifestormer1051 6 років тому +3

      John Diggle you liking season 7 of arrow?

    • @northieee
      @northieee 6 років тому +13

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

    • @renejotas
      @renejotas 6 років тому +1

      Xvideos box?

    • @JohnDiggle21
      @JohnDiggle21 6 років тому

      @@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

    • @thiccc30n
      @thiccc30n 6 років тому +2

      Everyone does

  • @feliscatusgaming3158
    @feliscatusgaming3158 6 років тому +1745

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

    • @funnr
      @funnr 6 років тому +76

      Gangster 2:don’t worry he coo

    • @feliscatusgaming3158
      @feliscatusgaming3158 6 років тому +55

      @@funnr Gangster 1:Aight then

    • @KaliTakumi
      @KaliTakumi 6 років тому +9

      "Gangster"

    • @KaliTakumi
      @KaliTakumi 6 років тому +12

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

    • @litigation_jackson
      @litigation_jackson 6 років тому +7

      @
      sheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeit

  • @commenturthegreat2915
    @commenturthegreat2915 5 років тому +2432

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

    • @DevilsBeefCake
      @DevilsBeefCake 5 років тому +15

      Nah

    • @VarxenCore9
      @VarxenCore9 5 років тому +44

      DONG was the previous name for this channel bruh

    • @commenturthegreat2915
      @commenturthegreat2915 5 років тому +231

      @@VarxenCore9 r/woooosh

    • @gamerwizard69
      @gamerwizard69 5 років тому +32

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

    • @VarxenCore9
      @VarxenCore9 5 років тому +9

      @@commenturthegreat2915 nice try lmao

  • @mdrzn
    @mdrzn 6 років тому +1449

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

  • @powerstation0872
    @powerstation0872 6 років тому +356

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

  • @simonockas
    @simonockas 6 років тому +2103

    This Michael seems cool. He should start a UA-cam channel!

    • @TheRealQuenny
      @TheRealQuenny 5 років тому +183

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

    • @shoe_consumer5209
      @shoe_consumer5209 5 років тому +99

      This other cool guy ironically named Michael has taken that name

    • @jimmer828
      @jimmer828 4 роки тому +34

      @@bathbombman its a joke

    • @Starbare6882
      @Starbare6882 4 роки тому +23

      theBathbombMan r/wooosh

    • @Ldforthetree
      @Ldforthetree 4 роки тому +31

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

  • @swfreak258
    @swfreak258 5 років тому +973

    The way Michael draws the symbol for infinity is unsettling

  • @drockomoush
    @drockomoush 6 років тому +891

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

  • @blockhead134
    @blockhead134 4 роки тому +583

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

    • @sappy9320
      @sappy9320 3 роки тому +31

      maybe we're all small little islands too

    • @ColinPaddock
      @ColinPaddock 3 роки тому +29

      Full of increasingly tiny islands

    • @zzztriplezzz5264
      @zzztriplezzz5264 2 роки тому +19

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

    • @keonscorner516
      @keonscorner516 2 роки тому +6

      @@ColinPaddock no the Mandelbrot set is all connected

    • @mathsciencefancier
      @mathsciencefancier 2 роки тому +4

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

  • @lytethekyte
    @lytethekyte 6 років тому +287

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

  • @natepolidoro4565
    @natepolidoro4565 5 років тому +163

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

    • @ermlerml7925
      @ermlerml7925 Рік тому +9

      And in school it'd take like years

  • @Pxxnks
    @Pxxnks 6 років тому +454

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

    • @KingHeadbang
      @KingHeadbang 6 років тому +52

      Don't pretend you didn't like it.

    • @novafawks
      @novafawks 6 років тому +5

      Ding my dong mommy OwO

    • @topa9487
      @topa9487 6 років тому +1

      @@KingHeadbang wanted to reply that

    • @_albedo_7704
      @_albedo_7704 6 років тому +6

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

    • @jackshoemaker9023
      @jackshoemaker9023 6 років тому +3

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

  • @ChrisKogos
    @ChrisKogos 5 років тому +946

    Please do a video on The Mandelbruh Set!

  • @rorysnow7937
    @rorysnow7937 6 років тому +595

    3:29 meme gold

  • @johnchessant3012
    @johnchessant3012 4 роки тому +74

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

    • @Perririri
      @Perririri 3 роки тому +3

      #ThomasDolby *has entered the chat*

  • @1293ST
    @1293ST 6 років тому +92

    >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
      @munjee2 6 років тому +8

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

    • @fartmerchant762
      @fartmerchant762 6 років тому +5

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

    • @Rajat-Sharma1
      @Rajat-Sharma1 6 років тому

      @@fartmerchant762 how do you know that eyes is 10fps🤔

    • @trent5807
      @trent5807 6 років тому +6

      @@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
      @Rajat-Sharma1 6 років тому +1

      @@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 🤣

  • @cluckcluck236
    @cluckcluck236 6 років тому +289

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

    • @austinzupon
      @austinzupon 6 років тому +14

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

    • @jesusthroughmary
      @jesusthroughmary 6 років тому +2

      I came to the comments to point this out, lol

    • @GodlessPhilosopher
      @GodlessPhilosopher 6 років тому +25

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

    • @user-me7hx8zf9y
      @user-me7hx8zf9y 6 років тому +18

      oof, Cardiod.

    • @evanward4303
      @evanward4303 6 років тому +12

      He's to smert too make that mestake.

  • @whcw11
    @whcw11 6 років тому +425

    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

  • @karatehh6966
    @karatehh6966 5 років тому +292

    “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

  • @RexusprimeIX
    @RexusprimeIX 6 років тому +229

    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.

  • @BruceCinema1337
    @BruceCinema1337 6 років тому +387

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

    • @elianagriffith9510
      @elianagriffith9510 6 років тому +1

      Oh boy.. isn't that awesome?

    • @imaginerus
      @imaginerus 6 років тому +4

      9:42

    • @appleislander8536
      @appleislander8536 6 років тому +1

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

    • @georgeharrold5423
      @georgeharrold5423 6 років тому +2

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

    • @svz5990
      @svz5990 Рік тому

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

  • @jesssald
    @jesssald 6 років тому +2148

    When will you do a face reveal?

    • @eggy543
      @eggy543 6 років тому +36

      Michael done that a couple of years ago!

    • @danii7120
      @danii7120 6 років тому +328

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

    • @jesssald
      @jesssald 6 років тому +78

      Don't be so *Eggy* 🤣🤣🤣

    • @eggy543
      @eggy543 6 років тому +13

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

    • @avathy9813
      @avathy9813 6 років тому +176

      Eggy543
      r/woooosh

  • @spaghetti4245
    @spaghetti4245 4 роки тому +85

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

    • @carealoo744
      @carealoo744 2 роки тому +5

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

  • @HamzaElkhatib
    @HamzaElkhatib 6 років тому +254

    9:44 it’s like he wants to be memed

    • @Hema8551
      @Hema8551 6 років тому +3

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

    • @Templarfreak
      @Templarfreak 6 років тому +32

      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
      @connorcriss 6 років тому +2

      I think he does tbh

    • @necromancer2367
      @necromancer2367 6 років тому

      Yes he does

    • @viciousviego2478
      @viciousviego2478 6 років тому

      Ikr 😂😜

  • @funnr
    @funnr 6 років тому +279

    WHADDUP DING DONGERS

    • @naufalap
      @naufalap 6 років тому +1

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

    • @Kommunistpartiet
      @Kommunistpartiet 6 років тому +1

      FibeVideo you forgot the asterisks

    • @micheleac66
      @micheleac66 6 років тому +1

      FibeVideo hey I have one of those

    • @nullset2
      @nullset2 6 років тому +1

      WADDUP HILA KLEINERS

    • @marcocampobello7981
      @marcocampobello7981 6 років тому +2

      9:47

  • @fomod_
    @fomod_ 6 років тому +617

    I wish you'd just continue uploading on Vsauce

  • @emanuelldaluzcaminha9122
    @emanuelldaluzcaminha9122 4 роки тому +30

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

    • @birdydragon
      @birdydragon 3 роки тому +1

      One of my favorite statements about it!

  • @mebamme
    @mebamme 6 років тому +107

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

    • @Zeph_
      @Zeph_ 6 років тому +8

      i think it is

    • @ChazCharlie1
      @ChazCharlie1 6 років тому

      I thought so too!

    • @FractalWoman
      @FractalWoman 6 років тому +2

      @@ChazCharlie1 Yup. CARDIOID is the correct spelling.

  • @theredfire14
    @theredfire14 6 років тому +318

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

    • @jerrettneandermeier9091
      @jerrettneandermeier9091 6 років тому +8

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

    • @pavlevilotijevic7266
      @pavlevilotijevic7266 6 років тому +7

      Thank goodness somebody pointed that out!

    • @EricM818
      @EricM818 6 років тому +20

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

    • @nagatotzu8681
      @nagatotzu8681 6 років тому +1

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

    • @anywallsocket
      @anywallsocket 6 років тому +23

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

  • @3ckitani
    @3ckitani 6 років тому +121

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

    • @2neutrino
      @2neutrino 6 років тому +1

      shut up

    • @FuNLpMeineURL
      @FuNLpMeineURL 6 років тому +9

      3:29

    • @-Sp1n
      @-Sp1n 6 років тому +1

      @Errl Shmirl
      This is science
      Not Religious sh*t

    • @-Sp1n
      @-Sp1n 6 років тому

      i

    • @rufo
      @rufo 6 років тому +10

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

  • @user-rs3lg6un4n
    @user-rs3lg6un4n 5 років тому +44

    9:36 was an absolutely incredible moment

  • @charissaschoon9206
    @charissaschoon9206 6 років тому +30

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

  • @HTPCYMC
    @HTPCYMC 6 років тому +1082

    Hey Michael, Vsauce here

    • @greenoleeno3793
      @greenoleeno3793 6 років тому +70

      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
      @straightbussin 6 років тому +2

      maximum maxerz you said it

    • @unintelligible3985
      @unintelligible3985 6 років тому +6

      wat up ding-dongers

    • @kapjoteh
      @kapjoteh 6 років тому +2

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

    • @yatint9665
      @yatint9665 6 років тому +2

      @@greenoleeno3793
      FEEL THE PAIN IN THOSE WORDS!

  • @maximunnit
    @maximunnit 6 років тому +55

    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
      @zankumo 6 років тому +7

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

  • @Bouncy_Block
    @Bouncy_Block Рік тому +3

    TheOdd1sOut: "Does that mean the area is infinite too? I dunno ask Vsauce."
    11:15 oh thanks

  • @weibull760
    @weibull760 6 років тому +638

    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
      @cellardoor7500 6 років тому +13

      Jason Vint well said!

    • @user-iu1xg6jv6e
      @user-iu1xg6jv6e 6 років тому +28

      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
      @SirTatManTat 6 років тому +195

      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
      @WinterandNoodle 6 років тому +17

      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
      @noobpro9759 5 років тому +85

      @@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.

  • @hammad8707
    @hammad8707 6 років тому +106

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

    • @foty8679
      @foty8679 6 років тому +8

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

    • @gogogo123454321
      @gogogo123454321 6 років тому

      @@foty8679 Nah he's right.

    • @something7836
      @something7836 6 років тому

      @@gogogo123454321 no.

    • @aboriani
      @aboriani 6 років тому

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

  • @av4787
    @av4787 6 років тому +30

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

    • @av4787
      @av4787 6 років тому

      @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
      @av4787 6 років тому

      @@rawpie2 bruh have you played watch dogs

  • @ursidae97
    @ursidae97 5 років тому +191

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

    • @kaggapu
      @kaggapu 4 роки тому +1

      @RileyBeez Etyptian numerals: *moo*

  • @Nugcon
    @Nugcon 6 років тому +331

    Hello fellow Ding Dongers in the comment section.

  • @Zeldaschampion
    @Zeldaschampion 6 років тому +30

    Eye witnessing Micheal's transformation into Kratos.

  • @1976Joachim
    @1976Joachim 6 років тому +132

    Isn't it cardioid instead of Cardiod?

    • @c0rtikoZteroids1
      @c0rtikoZteroids1 6 років тому +1

      That is correct

    • @charonder
      @charonder 6 років тому

      Oof

    • @Madmagicanman1
      @Madmagicanman1 6 років тому

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

    • @theTavis01
      @theTavis01 6 років тому +5

      @@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
      @davetir 6 років тому +1

      Ouch! Proofreading Pays!

  • @jacobgarcia7918
    @jacobgarcia7918 4 роки тому +4

    Everytime I googled questions about what the Mandelbrot Set is all about, I always find "well if you just understood advanced math like me, you would know." I appreciate Michael for taking the time to educate without being condescending.

  • @JimbobH
    @JimbobH 6 років тому +12

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

  • @gabrieletsgo1218
    @gabrieletsgo1218 6 років тому +163

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

  • @matthewpapa5529
    @matthewpapa5529 6 років тому +7

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

  • @SahhiiChannel
    @SahhiiChannel 5 років тому +36

    7:26 onederful

  • @dbarr49
    @dbarr49 6 років тому +42

    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
      @gogogooner 6 років тому +1

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

  • @AspienPadda
    @AspienPadda 6 років тому +56

    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
      @saqibmudabbar 6 років тому +12

      We all love you ❤️ Don’t worry

    • @AspienPadda
      @AspienPadda 6 років тому +6

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

    • @imXarys
      @imXarys 6 років тому +17

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

    • @AspienPadda
      @AspienPadda 6 років тому +6

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

    • @saqibmudabbar
      @saqibmudabbar 6 років тому +2

      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.
      ua-cam.com/video/mH227HILqII/v-deo.html
      Find me in the comment section there 🥰

  • @TheGoupil19
    @TheGoupil19 6 років тому +32

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

  • @zergy55
    @zergy55 4 роки тому +5

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

  • @GoikOShea
    @GoikOShea 6 років тому +24

    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
      @RRM_Personal 6 років тому +2

      Yay! Jonathan Coulton!

    • @Vesperon
      @Vesperon 6 років тому

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

  • @BernardoMarquesIdeia
    @BernardoMarquesIdeia 6 років тому +223

    3:29 My man Michael just pulled a Pewdiepie

  • @NobodyXChallengerYT
    @NobodyXChallengerYT 6 років тому +433

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

    • @theTavis01
      @theTavis01 6 років тому +111

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

    • @TroyWuelfing
      @TroyWuelfing 6 років тому +45

      @@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
      @theTavis01 6 років тому +28

      @@TroyWuelfing Thank you for the support!

    • @theTavis01
      @theTavis01 5 років тому +8

      @@loremipsum313 that's awesome!

    • @euleer.-.9385
      @euleer.-.9385 5 років тому

      @@theTavis01 did they contact you?

  • @thatcrystalpie
    @thatcrystalpie 5 років тому +14

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

  • @LittleBitVic
    @LittleBitVic 6 років тому +23

    "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
      @mustardpuddle Рік тому +1

      "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
      @moosesurgeon Рік тому

      ​@@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"

  • @slook7094
    @slook7094 6 років тому +218

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

    • @jay-wq5lw
      @jay-wq5lw 4 роки тому

      hmm what’s the difference

    • @germansnowman
      @germansnowman 4 роки тому +13

      @@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
      @jay-wq5lw 4 роки тому

      ok

  • @RexTheOnlyOne
    @RexTheOnlyOne 6 років тому +26

    Why does the map have so many inaccuracies, this is not Michael I know

  • @therationale2289
    @therationale2289 5 років тому +12

    3:29 the funniest thing Michael has ever done imo

  • @rodrigovillanueva5384
    @rodrigovillanueva5384 6 років тому +52

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

  • @quackerzdb
    @quackerzdb 6 років тому +276

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

    • @theTavis01
      @theTavis01 6 років тому +67

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

    • @ARandomUsernameForMe
      @ARandomUsernameForMe 6 років тому +13

      Nice try Bill Travis ;)

    • @Vesperon
      @Vesperon 6 років тому +16

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

    • @RedHairdo
      @RedHairdo 6 років тому +16

      @@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
      @Vesperon 6 років тому

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

  • @NewbyTon
    @NewbyTon 6 років тому +176

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

    • @namelessLesbian
      @namelessLesbian 6 років тому +4

      Ding dongers

    • @rooivalk1
      @rooivalk1 6 років тому +4

      Ding my Dong fellow ding dongers

    • @EpicRainbowLollipop
      @EpicRainbowLollipop 6 років тому +1

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

    • @bojackson3073
      @bojackson3073 6 років тому +1

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

  • @HuntressCody
    @HuntressCody 5 років тому +7

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

  • @elliottmcollins
    @elliottmcollins 6 років тому +196

    I'm always careful about crying plagiarism, but Bill Travis' does look just like this, minus the typo. You might consider mentioning him.

    • @theTavis01
      @theTavis01 6 років тому +53

      well thank YOU for the shout out anyways! (It sure would be nice to get one from Vsauce though)

    • @spart169
      @spart169 6 років тому +11

      You didnt invent the Mandelbrot

    • @m.c-filis
      @m.c-filis 6 років тому +3

      A french videast did it, more talently, four years ago
      Check his channel : El JJ

    • @theTavis01
      @theTavis01 6 років тому +29

      @@spart169 well duh, and I didn't invent vintage maps either. But I was the first to put the two together. It's quite a simple concept, and a common reaction is "why didn't I think of that?" Some might be tempted to pretend like they actually did think of it. The fact remains that as a designer, the first thing you ever do is to look for reference images. If I was hired by VSauce to make a map of the Mandelbrot set I would surely look for that on Google, and it's IMPOSSIBLE for them to have missed mine - because of how well the Kickstarter did it's been at the top of Google for years. So even IF they uniquely conceived of the idea, there is NO WAY that they didn't find mine while still in the beginning stages of theirs. I was careful in my Kickstarter to include a section of shout-outs, because that is the respectful thing to do as a creator. That's literally all that VSauce had to do, is shout me out as the inspiration (although I would have much preferred that he contacted me to license the image)

    • @spart169
      @spart169 6 років тому

      @@theTavis01 so if I make a poster of a neuron and someone else does too.. they cant because I did it first?

  • @ConstantThrowing
    @ConstantThrowing 6 років тому +16

    "Whaddup Ding-Dongers!"
    Needs to be the universal opener for all UA-camrs for the next month or so.

  • @100kleitung7
    @100kleitung7 5 років тому +29

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

    • @luhdooce
      @luhdooce 5 років тому +4

      @@tessenary_ no it's not

    • @SoI-
      @SoI- 4 роки тому

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

    • @omarcaballero2011
      @omarcaballero2011 4 роки тому

      @@SoI- bro -1² means -(1²)

    • @SoI-
      @SoI- 4 роки тому

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

    • @ViratKohli-jj3wj
      @ViratKohli-jj3wj 4 роки тому +1

      Both are same

  • @NilesJohnson
    @NilesJohnson 6 років тому +125

    If you want a poster like this, but better, get the Mandelmap by Bill Tavis. More details, more points of interest, and not plagiarized!

    • @LieseFury
      @LieseFury 6 років тому +19

      Spelled correctly too

    • @benthomason3307
      @benthomason3307 4 роки тому +4

      _YOU CAN'T FREAKING CLAIM OWNERSHIP OF THE MANDEBROT SET ANYMORE THAN YOU CAN THE NUMBER PI OR THE PYTHAGOREAN THEOREM!_

    • @spacegrass6632
      @spacegrass6632 4 роки тому

      @@benthomason3307 noone is you spastic

  • @GeoffBlackmore
    @GeoffBlackmore 6 років тому +224

    Basically:
    Vsauce = the paid content channel (moving forward).
    DONG = the free stuff.

    • @kazzajaxon7566
      @kazzajaxon7566 6 років тому +67

      No, he's said numerous times that he just hasn't been able to make anything that he feels worthy of vsauce yet, he doesn't want to put anything not as big as other videos on there

    • @want-diversecontent3887
      @want-diversecontent3887 6 років тому +24

      Kazza Jaxon
      Well, except for maybe Mind Field.

    • @Mew__
      @Mew__ 6 років тому +5

      Don’t forget Brain Candy Live.

    • @sithlorddread8721
      @sithlorddread8721 6 років тому +9

      Kazza Jaxon yeah just like the Russo brothers said the title for the new Avengers movie wasn't spoken in Infinity War. My point is people lie and/or things change.

    • @KaliTakumi
      @KaliTakumi 6 років тому +22

      Not really. Believe it or not, Mind Field episodes don't really work like normal UA-cam uploads. It's a bit strange but it's more like
      Vsauce = high quality content (nothing right now)
      DONG = Low effort videos

  • @raybribreezy
    @raybribreezy 6 років тому +40

    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.

  • @FinlayHamm
    @FinlayHamm 4 роки тому +1

    Happy birthday to the mandelbrot guy

  • @ArianSadrayi
    @ArianSadrayi 6 років тому +5

    1:55 when Michael suddenly gets possessed by Jake.

  • @camelopardalis84
    @camelopardalis84 6 років тому +41

    After such a long time you *would* have needed to introduce yourself since it was a long enough time to forget your name but you were so deeply missed that no-one *actually* could have ever forgotten who you are.

  • @goldenceaser7839
    @goldenceaser7839 6 років тому +74

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

  • @greysonmiller9407
    @greysonmiller9407 5 років тому +8

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

  • @knietieflinux
    @knietieflinux 6 років тому +6

    If only every teacher could explain things like you do, the world would be a better place

  • @aikenanderson22
    @aikenanderson22 4 роки тому +7

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

  • @theTavis01
    @theTavis01 6 років тому +372

    sweet poster! I'm very flattered, since imitation is the fondest form of flattery, and this is obviously an imitation of the Mandelmap poster I created. *ahem* I also spelled 'cardiod' correctly on mine *ahem* and I didn't rename the valleys as coasts, since their colloquial name has always been valley. But hey, it looks almost as nice as mine! www.mandelmap.com

    • @PlayhardandKillcam
      @PlayhardandKillcam 6 років тому +9

      big fan of your work:) very talented. also my ig is @Sevastian_Santamaria love u

    • @theTavis01
      @theTavis01 6 років тому +9

      @@PlayhardandKillcam thanks!!

    • @LaGuerre19
      @LaGuerre19 6 років тому +37

      Wow, your poster is a work of art. Those Julia Set Medallions. Kinda feeling something approaching disappointment for the first time ever towards my dear Vsauce; my kids and i get the Curiosity Box and now i know the parentage of the poster i have in this video (i wish there had been a reference, some nod towards your work -- of which i was previously unaware). Time now to get your poster, it's splendid. Cheers.

    • @theTavis01
      @theTavis01 6 років тому +59

      @@LaGuerre19 Thanks! Yeah I'm a VSauce fan too so it was a bummer that I did not even get a shout out as the inspiration, the more I look at it the more I see little details they "borrowed" from mine... oh well ultimately more people are learning about the Mandelbrot set and that's really what I wanted out of my poster

    • @LaGuerre19
      @LaGuerre19 6 років тому +37

      @@theTavis01 Your aplomb and your satisfaction that knowledge is being spread is the mark of a true renaissance man, keep up the great science/artwork, all the best to you.

  • @qwertyuiopasdfghjklzxcvbnm-a
    @qwertyuiopasdfghjklzxcvbnm-a Рік тому +2

    My youtube isn't working well and currently Michael is vibrating violently

  • @jackstewart8406
    @jackstewart8406 5 років тому +6

    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

  • @kubilaymeydan1457
    @kubilaymeydan1457 6 років тому +17

    thnk you so much for making the 4th episode free!!

  • @josephmcluckie2512
    @josephmcluckie2512 3 роки тому +9

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

  • @wallybeery4058
    @wallybeery4058 3 роки тому

    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!

  • @peril7531
    @peril7531 5 років тому +114

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

  • @fun_nuggets2514
    @fun_nuggets2514 4 роки тому +29

    00:34 I think Michael is officially insane

  • @mistirion4929
    @mistirion4929 3 роки тому +8

    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

  • @obisidian9243
    @obisidian9243 4 роки тому +4

    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.

  • @camelopardalis84
    @camelopardalis84 6 років тому +496

    I will delete this comment if this gets mentioned in the video but "Mandelbrot" is "almond bread" in German.

    • @falcon-vx3cc
      @falcon-vx3cc 6 років тому +3

      It's not mentioned

    • @ekn_38
      @ekn_38 6 років тому +30

      Commented the same,just saw yours recently and deleted mine

    • @camelopardalis84
      @camelopardalis84 6 років тому +8

      @@ekn_38 Must have been *VERY* recently since the video was uploaded maybe half an hour ago! I knew I had to be fast so I posted the comment while still watching the video. I mean, it's not like a English speaking channel with so many subscribers could ever not have a lot of viewers who know German.

    • @camelopardalis84
      @camelopardalis84 6 років тому +3

      @@falcon-vx3cc
      Thanks! I was about to fall asleep watching the video before and then stopped it when I thought I would be out in within a few seconds. I'm still tired but completely awake again.

    • @leonardjanke2855
      @leonardjanke2855 6 років тому +5

      Madelbrot ist das beste brot

  • @rateeightx
    @rateeightx 6 років тому +4

    0:45 Are You Telling Me 3 Hours Isn't Big Enough To Go On Vsauce?

  • @bruzanhd
    @bruzanhd 6 років тому +56

    Credit Bill Tavis bro. Not cool.

  • @sign543
    @sign543 5 років тому +1

    I always check the comments on these videos...because I know that in the first 5, somebody will repeat that Michael has obviously lost his Vsauce password.

  • @sleshi5441
    @sleshi5441 6 років тому +63

    My favorite toy is the ding donger

    • @cyanthestickman9933
      @cyanthestickman9933 6 років тому +3

      _ mbisaf _ that was hilarious

    • @camelopardalis84
      @camelopardalis84 6 років тому +3

      There's a guy I very occasionally see hanging around at the main train station where I live. He sometimes plays with his ding donger in public. The whole thing seems entirely non-sexual. But it's a guy with his hands in this pants swinging his ding donger back and forth.

  • @maxdeboer2196
    @maxdeboer2196 6 років тому +4

    I really miss the good old Vsauce videos.

  • @tristimulus
    @tristimulus 6 років тому +106

    That's a pretty cool map poster, but it's basically just a rip-off of the Mandelmap by Bill Tavis...

    • @JorWat25
      @JorWat25 6 років тому +32

      He's noticed: twitter.com/tayviss/status/1072945795756945408

    • @celinak5062
      @celinak5062 6 років тому

      +

    • @M3S777
      @M3S777 6 років тому

      Totally! even the coast names! smh...

    • @StuiB08
      @StuiB08 6 років тому

      +

    • @dudagladuos
      @dudagladuos 6 років тому

      +

  • @edenb329
    @edenb329 Рік тому

    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.

  • @TheNat2341
    @TheNat2341 6 років тому +86

    look up Bill Tavis' original