The Mandelbrot Set

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  • เผยแพร่เมื่อ 21 ก.ย. 2024

ความคิดเห็น • 4.5K

  • @passdoutcouchpotatos
    @passdoutcouchpotatos 5 ปีที่แล้ว +9551

    Michael definately lost the keys to the Vsauce channel

    • @TehPobo
      @TehPobo 5 ปีที่แล้ว +184

      He will return one day 😔

    • @ICECREAMane1017
      @ICECREAMane1017 5 ปีที่แล้ว +115

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

    • @dickjohnson4447
      @dickjohnson4447 5 ปีที่แล้ว +77

      Vsauce is for the series Mind Field now

    • @JorgetePanete
      @JorgetePanete 5 ปีที่แล้ว +37

      definitely*

    • @Eli-uo7nj
      @Eli-uo7nj 5 ปีที่แล้ว +46

      Vsauce machine broke

  • @farn0153
    @farn0153 5 ปีที่แล้ว +3755

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

    • @vivilonrane1330
      @vivilonrane1330 5 ปีที่แล้ว +120

      I'm hungry now

    • @camnwalter
      @camnwalter 5 ปีที่แล้ว +157

      Thank you Farn, very cool

    • @MosesMatsepane
      @MosesMatsepane 5 ปีที่แล้ว +9

      Polish?

    • @Despotic_Waffle
      @Despotic_Waffle 5 ปีที่แล้ว +95

      @@MosesMatsepane i thought brot was german

    • @LePvpLer
      @LePvpLer 5 ปีที่แล้ว +125

      @@MosesMatsepane German

  • @CyclopsToppingWolverine
    @CyclopsToppingWolverine 5 ปีที่แล้ว +903

    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
      @drakeramoray7574 11 หลายเดือนก่อน

      .;
      . ,
      .
      n
      . r..

    • @alangrant5278
      @alangrant5278 หลายเดือนก่อน +2

      The humour is so dry. I love it

  • @Epinardscaramel
    @Epinardscaramel 5 ปีที่แล้ว +1512

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

    • @Epinardscaramel
      @Epinardscaramel 5 ปีที่แล้ว +193

      9:36 OMG you beautiful genius :D

    • @Qbeakl
      @Qbeakl 4 ปีที่แล้ว +6

      How you do infinite!

    • @RIPToot
      @RIPToot 4 ปีที่แล้ว +22

      @@Qbeakl Same way you draw 8 just sideways.

    • @Qbeakl
      @Qbeakl 4 ปีที่แล้ว +4

      Eight

    • @mrfoldmyshirt4404
      @mrfoldmyshirt4404 4 ปีที่แล้ว +3

      9:37

  • @obisidian9243
    @obisidian9243 4 ปีที่แล้ว +1974

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

    • @technoultimategaming2999
      @technoultimategaming2999 4 ปีที่แล้ว +117

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

    • @dysonspreybar4903
      @dysonspreybar4903 4 ปีที่แล้ว +47

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

    • @fancraft1266
      @fancraft1266 4 ปีที่แล้ว +20

      It is before high school (in my country).

    • @technoultimategaming2999
      @technoultimategaming2999 4 ปีที่แล้ว +10

      @@fancraft1266
      Same

    • @NStripleseven
      @NStripleseven 4 ปีที่แล้ว +3

      I N D E E D

  • @mdrzn
    @mdrzn 5 ปีที่แล้ว +1386

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

    • @tottle321
      @tottle321 5 ปีที่แล้ว +117

      I thought I dreamed that

    • @ShadowKick32
      @ShadowKick32 5 ปีที่แล้ว +57

      This is going in some meme stuff for sure.

    • @Stormdrigger
      @Stormdrigger 5 ปีที่แล้ว +4

      @@tottle321 same

    • @matheusventura4289
      @matheusventura4289 5 ปีที่แล้ว +34

      I had a erection

    • @hairohukosu433
      @hairohukosu433 5 ปีที่แล้ว +9

      He embraced the meme

  • @commenturthegreat2915
    @commenturthegreat2915 5 ปีที่แล้ว +2390

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

    • @DevilsBeefCake
      @DevilsBeefCake 5 ปีที่แล้ว +15

      Nah

    • @VarxenCore9
      @VarxenCore9 5 ปีที่แล้ว +44

      DONG was the previous name for this channel bruh

    • @commenturthegreat2915
      @commenturthegreat2915 5 ปีที่แล้ว +227

      @@VarxenCore9 r/woooosh

    • @gamerwizard69
      @gamerwizard69 5 ปีที่แล้ว +31

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

    • @VarxenCore9
      @VarxenCore9 5 ปีที่แล้ว +9

      @@commenturthegreat2915 nice try lmao

  • @swfreak258
    @swfreak258 5 ปีที่แล้ว +935

    The way Michael draws the symbol for infinity is unsettling

    • @Jzombi301
      @Jzombi301 4 ปีที่แล้ว +1

      atzurblau why?

    • @Green24152
      @Green24152 4 ปีที่แล้ว +54

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

    • @trickytreyperfected1482
      @trickytreyperfected1482 4 ปีที่แล้ว +28

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

    • @vanillesosse
      @vanillesosse 4 ปีที่แล้ว +28

      He did it for the kickz

    • @mrfoldmyshirt4404
      @mrfoldmyshirt4404 4 ปีที่แล้ว +9

      9:37

  • @drockomoush
    @drockomoush 5 ปีที่แล้ว +874

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

  • @feliscatusgaming3158
    @feliscatusgaming3158 5 ปีที่แล้ว +1726

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

    • @funnr
      @funnr 5 ปีที่แล้ว +74

      Gangster 2:don’t worry he coo

    • @feliscatusgaming3158
      @feliscatusgaming3158 5 ปีที่แล้ว +53

      @@funnr Gangster 1:Aight then

    • @KaliTakumi
      @KaliTakumi 5 ปีที่แล้ว +9

      "Gangster"

    • @KaliTakumi
      @KaliTakumi 5 ปีที่แล้ว +12

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

    • @litigation_jackson
      @litigation_jackson 5 ปีที่แล้ว +7

      @
      sheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeit

  • @blockhead134
    @blockhead134 4 ปีที่แล้ว +550

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

    • @sappy9320
      @sappy9320 2 ปีที่แล้ว +29

      maybe we're all small little islands too

    • @ColinPaddock
      @ColinPaddock 2 ปีที่แล้ว +26

      Full of increasingly tiny islands

    • @zzztriplezzz5264
      @zzztriplezzz5264 2 ปีที่แล้ว +17

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

    • @keonscorner516
      @keonscorner516 2 ปีที่แล้ว +5

      @@ColinPaddock no the Mandelbrot set is all connected

    • @mathsciencefancier
      @mathsciencefancier 2 ปีที่แล้ว +4

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

  • @karatehh6966
    @karatehh6966 5 ปีที่แล้ว +287

    “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

  • @powerstation0872
    @powerstation0872 5 ปีที่แล้ว +335

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

  • @simonockas
    @simonockas 5 ปีที่แล้ว +2076

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

    • @TheRealQuenny
      @TheRealQuenny 4 ปีที่แล้ว +179

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

    • @shoe_consumer5209
      @shoe_consumer5209 4 ปีที่แล้ว +99

      This other cool guy ironically named Michael has taken that name

    • @jimmer828
      @jimmer828 4 ปีที่แล้ว +34

      @@bathbombman its a joke

    • @Starbare6882
      @Starbare6882 4 ปีที่แล้ว +23

      theBathbombMan r/wooosh

    • @Ldforthetree
      @Ldforthetree 4 ปีที่แล้ว +31

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

  • @JohnDiggle21
    @JohnDiggle21 5 ปีที่แล้ว +915

    I miss the "Hey Vsauce Michael here"

    • @lifestormer1051
      @lifestormer1051 5 ปีที่แล้ว +2

      John Diggle you liking season 7 of arrow?

    • @northieee
      @northieee 5 ปีที่แล้ว +12

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

    • @renejotas
      @renejotas 5 ปีที่แล้ว +1

      Xvideos box?

    • @JohnDiggle21
      @JohnDiggle21 5 ปีที่แล้ว

      @@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 5 ปีที่แล้ว +2

      Everyone does

  • @natepolidoro4565
    @natepolidoro4565 5 ปีที่แล้ว +150

    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 ปีที่แล้ว +8

      And in school it'd take like years

  • @lytethekyte
    @lytethekyte 5 ปีที่แล้ว +280

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

  • @Pxxnks
    @Pxxnks 5 ปีที่แล้ว +442

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

    • @KingHeadbang
      @KingHeadbang 5 ปีที่แล้ว +52

      Don't pretend you didn't like it.

    • @novafawks
      @novafawks 5 ปีที่แล้ว +5

      Ding my dong mommy OwO

    • @topa9487
      @topa9487 5 ปีที่แล้ว +1

      @@KingHeadbang wanted to reply that

    • @_albedo_7704
      @_albedo_7704 5 ปีที่แล้ว +6

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

    • @jackshoemaker9023
      @jackshoemaker9023 5 ปีที่แล้ว +3

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

  • @whcw11
    @whcw11 5 ปีที่แล้ว +419

    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
      @mrwess1927 4 ปีที่แล้ว +6

      David Růžička Bill Tavis

    • @NStripleseven
      @NStripleseven 4 ปีที่แล้ว +4

      Welp.

  • @spaghetti4245
    @spaghetti4245 4 ปีที่แล้ว +82

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

    • @carealoo744
      @carealoo744 2 ปีที่แล้ว +5

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

  • @RexusprimeIX
    @RexusprimeIX 5 ปีที่แล้ว +217

    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
      @internet_user1131 4 ปีที่แล้ว +24

      RexusprimeIX well it definitely isn’t antimatter

    • @dosenotcompute7733
      @dosenotcompute7733 4 ปีที่แล้ว +12

      9650000 or is it?

    • @bobbychicken0393
      @bobbychicken0393 4 ปีที่แล้ว +6

      Dang I thought it was a liquid

    • @ad-sd-vids5332
      @ad-sd-vids5332 4 ปีที่แล้ว +3

      It’s a bottle of ferrofluid

    • @stykytte
      @stykytte 3 ปีที่แล้ว +3

      It's real and not imaginary.

  • @rorysnow7937
    @rorysnow7937 5 ปีที่แล้ว +591

    3:29 meme gold

    • @everyonesaidthatmynameissi4353
      @everyonesaidthatmynameissi4353 5 ปีที่แล้ว +14

      I doin' it

    • @EndlessPlane
      @EndlessPlane 5 ปีที่แล้ว +58

      I'm partial to 9:43 myself

    • @FreeRiderFMX
      @FreeRiderFMX 5 ปีที่แล้ว +7

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

    • @flossenking
      @flossenking 5 ปีที่แล้ว +4

      but i is not a number it's a letter

    • @SaugatChamling
      @SaugatChamling 5 ปีที่แล้ว +18

      How about 14:52

  • @1293ST
    @1293ST 5 ปีที่แล้ว +87

    >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 5 ปีที่แล้ว +8

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

    • @fartmerchant762
      @fartmerchant762 5 ปีที่แล้ว +5

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

    • @Rajat-Sharma1
      @Rajat-Sharma1 5 ปีที่แล้ว

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

    • @trent5807
      @trent5807 5 ปีที่แล้ว +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 5 ปีที่แล้ว +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 🤣

  • @johnchessant3012
    @johnchessant3012 3 ปีที่แล้ว +72

    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 ปีที่แล้ว +2

      #ThomasDolby *has entered the chat*

  • @BruceCinema1337
    @BruceCinema1337 5 ปีที่แล้ว +383

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

    • @elianagriffith9510
      @elianagriffith9510 5 ปีที่แล้ว +1

      Oh boy.. isn't that awesome?

    • @imaginerus
      @imaginerus 5 ปีที่แล้ว +4

      9:42

    • @appleislander8536
      @appleislander8536 5 ปีที่แล้ว +1

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

    • @georgeharrold5423
      @georgeharrold5423 5 ปีที่แล้ว +2

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

    • @svz5990
      @svz5990 11 หลายเดือนก่อน

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

  • @3ckitani
    @3ckitani 5 ปีที่แล้ว +117

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

    • @2neutrino
      @2neutrino 5 ปีที่แล้ว +1

      shut up

    • @FuNLpMeineURL
      @FuNLpMeineURL 5 ปีที่แล้ว +9

      3:29

    • @-Sp1n
      @-Sp1n 5 ปีที่แล้ว +1

      @Errl Shmirl
      This is science
      Not Religious sh*t

    • @-Sp1n
      @-Sp1n 5 ปีที่แล้ว

      i

    • @rufo
      @rufo 5 ปีที่แล้ว +10

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

  • @HamzaElkhatib
    @HamzaElkhatib 5 ปีที่แล้ว +250

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

    • @Hema8551
      @Hema8551 5 ปีที่แล้ว +3

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

    • @Templarfreak
      @Templarfreak 5 ปีที่แล้ว +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 5 ปีที่แล้ว +2

      I think he does tbh

    • @necromancer2367
      @necromancer2367 5 ปีที่แล้ว

      Yes he does

    • @viciousviego2478
      @viciousviego2478 5 ปีที่แล้ว

      Ikr 😂😜

  • @ChrisKogos
    @ChrisKogos 5 ปีที่แล้ว +937

    Please do a video on The Mandelbruh Set!

  • @weibull760
    @weibull760 5 ปีที่แล้ว +635

    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 5 ปีที่แล้ว +13

      Jason Vint well said!

    • @user-iu1xg6jv6e
      @user-iu1xg6jv6e 5 ปีที่แล้ว +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 5 ปีที่แล้ว +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 5 ปีที่แล้ว +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 ปีที่แล้ว +84

      @@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.

  • @cluckcluck236
    @cluckcluck236 5 ปีที่แล้ว +284

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

    • @austinzupon
      @austinzupon 5 ปีที่แล้ว +14

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

    • @jesusthroughmary
      @jesusthroughmary 5 ปีที่แล้ว +2

      I came to the comments to point this out, lol

    • @GodlessPhilosopher
      @GodlessPhilosopher 5 ปีที่แล้ว +24

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

    • @user-me7hx8zf9y
      @user-me7hx8zf9y 5 ปีที่แล้ว +18

      oof, Cardiod.

    • @evanward4303
      @evanward4303 5 ปีที่แล้ว +11

      He's to smert too make that mestake.

  • @hammad8707
    @hammad8707 5 ปีที่แล้ว +105

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

    • @foty8679
      @foty8679 5 ปีที่แล้ว +8

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

    • @gogogo123454321
      @gogogo123454321 5 ปีที่แล้ว

      @@foty8679 Nah he's right.

    • @something7836
      @something7836 5 ปีที่แล้ว

      @@gogogo123454321 no.

    • @aboriani
      @aboriani 5 ปีที่แล้ว

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

  • @user-rs3lg6un4n
    @user-rs3lg6un4n 5 ปีที่แล้ว +43

    9:36 was an absolutely incredible moment

    • @chriskrausesmovie
      @chriskrausesmovie ปีที่แล้ว

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

  • @emanuelldaluzcaminha9122
    @emanuelldaluzcaminha9122 3 ปีที่แล้ว +26

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

    • @birdydragon
      @birdydragon 3 ปีที่แล้ว

      One of my favorite statements about it!

  • @funnr
    @funnr 5 ปีที่แล้ว +278

    WHADDUP DING DONGERS

    • @naufalap
      @naufalap 5 ปีที่แล้ว +1

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

    • @Kommunistpartiet
      @Kommunistpartiet 5 ปีที่แล้ว +1

      FibeVideo you forgot the asterisks

    • @micheleac66
      @micheleac66 5 ปีที่แล้ว +1

      FibeVideo hey I have one of those

    • @nullset2
      @nullset2 5 ปีที่แล้ว +1

      WADDUP HILA KLEINERS

    • @marcocampobello7981
      @marcocampobello7981 5 ปีที่แล้ว +2

      9:47

  • @maximunnit
    @maximunnit 5 ปีที่แล้ว +51

    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 5 ปีที่แล้ว +6

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

  • @ursidae97
    @ursidae97 4 ปีที่แล้ว +189

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

    • @kaggapu
      @kaggapu 4 ปีที่แล้ว +1

      @RileyBeez Etyptian numerals: *moo*

  • @jesssald
    @jesssald 5 ปีที่แล้ว +2135

    When will you do a face reveal?

    • @eggy543
      @eggy543 5 ปีที่แล้ว +36

      Michael done that a couple of years ago!

    • @danii7120
      @danii7120 5 ปีที่แล้ว +325

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

    • @jesssald
      @jesssald 5 ปีที่แล้ว +78

      Don't be so *Eggy* 🤣🤣🤣

    • @eggy543
      @eggy543 5 ปีที่แล้ว +13

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

    • @avathy9813
      @avathy9813 5 ปีที่แล้ว +175

      Eggy543
      r/woooosh

  • @charissaschoon9206
    @charissaschoon9206 5 ปีที่แล้ว +29

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

  • @av4787
    @av4787 5 ปีที่แล้ว +29

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

    • @av4787
      @av4787 5 ปีที่แล้ว

      @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 5 ปีที่แล้ว

      @@rawpie2 bruh have you played watch dogs

  • @NoNo-xh7ru
    @NoNo-xh7ru 4 ปีที่แล้ว +22

    White kids walking into the hood: 0:01

  • @fomod_
    @fomod_ 5 ปีที่แล้ว +616

    I wish you'd just continue uploading on Vsauce

    • @epicstimulus282
      @epicstimulus282 5 ปีที่แล้ว +11

      He is

    • @Elcrisso1
      @Elcrisso1 5 ปีที่แล้ว +13

      He is - Mind Field

    • @fomod_
      @fomod_ 5 ปีที่แล้ว +13

      ...Or do I?

    • @qualquerum3158
      @qualquerum3158 5 ปีที่แล้ว +1

      @@fomod_ jajajhahahaha

    • @NothingXemnas
      @NothingXemnas 5 ปีที่แล้ว

      Also, nice Komi bro pic

  • @matthewpapa5529
    @matthewpapa5529 5 ปีที่แล้ว +7

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

  • @JimbobH
    @JimbobH 5 ปีที่แล้ว +12

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

  • @Bouncy_Block
    @Bouncy_Block 10 หลายเดือนก่อน +2

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

  • @BernardoMarquesIdeia
    @BernardoMarquesIdeia 5 ปีที่แล้ว +224

    3:29 My man Michael just pulled a Pewdiepie

    • @piero2066
      @piero2066 5 ปีที่แล้ว +3

      shhhtfkp

    • @nathanhoffmann1747
      @nathanhoffmann1747 5 ปีที่แล้ว +11

      He was publicly and unapologetically anti-Semitic?

    • @izuix5629
      @izuix5629 5 ปีที่แล้ว +7

      13:23

    • @wheresmycar9559
      @wheresmycar9559 5 ปีที่แล้ว +2

      @@nathanhoffmann1747 wat

    • @cornekeetels5293
      @cornekeetels5293 5 ปีที่แล้ว +3

      Nathan, you must be thinking of someone else

  • @Nugcon
    @Nugcon 5 ปีที่แล้ว +329

    Hello fellow Ding Dongers in the comment section.

    • @yugal.prakash
      @yugal.prakash 5 ปีที่แล้ว +4

      Hello fello *DING DONGER* !!

    • @Reveticate
      @Reveticate 5 ปีที่แล้ว +1

      Ooh my ding ding dong.

    • @blueportal4932
      @blueportal4932 5 ปีที่แล้ว

      Hello my Ding Donger brother

    • @StationOfTerrapin
      @StationOfTerrapin 5 ปีที่แล้ว

      The NuggetBacon hi there friend

    • @Stan2016Games
      @Stan2016Games 5 ปีที่แล้ว

      Hello fellow *_DINGDONGERS_*

  • @AspienPadda
    @AspienPadda 5 ปีที่แล้ว +55

    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 5 ปีที่แล้ว +12

      We all love you ❤️ Don’t worry

    • @AspienPadda
      @AspienPadda 5 ปีที่แล้ว +6

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

    • @imXarys
      @imXarys 5 ปีที่แล้ว +17

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

    • @AspienPadda
      @AspienPadda 5 ปีที่แล้ว +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 5 ปีที่แล้ว +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.
      th-cam.com/video/mH227HILqII/w-d-xo.html
      Find me in the comment section there 🥰

  • @fun_nuggets2514
    @fun_nuggets2514 4 ปีที่แล้ว +28

    00:34 I think Michael is officially insane

  • @HTPCYMC
    @HTPCYMC 5 ปีที่แล้ว +1081

    Hey Michael, Vsauce here

    • @greenoleeno3793
      @greenoleeno3793 5 ปีที่แล้ว +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 5 ปีที่แล้ว +2

      maximum maxerz you said it

    • @unintelligible3985
      @unintelligible3985 5 ปีที่แล้ว +6

      wat up ding-dongers

    • @kapjoteh
      @kapjoteh 5 ปีที่แล้ว +2

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

    • @yatint9665
      @yatint9665 5 ปีที่แล้ว +2

      @@greenoleeno3793
      FEEL THE PAIN IN THOSE WORDS!

  • @theredfire14
    @theredfire14 5 ปีที่แล้ว +317

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

    • @jerrettneandermeier9091
      @jerrettneandermeier9091 5 ปีที่แล้ว +8

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

    • @pavlevilotijevic7266
      @pavlevilotijevic7266 5 ปีที่แล้ว +7

      Thank goodness somebody pointed that out!

    • @EricM818
      @EricM818 5 ปีที่แล้ว +20

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

    • @nagatotzu8681
      @nagatotzu8681 5 ปีที่แล้ว +1

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

    • @anywallsocket
      @anywallsocket 5 ปีที่แล้ว +23

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

  • @gabrieletsgo1218
    @gabrieletsgo1218 5 ปีที่แล้ว +162

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

  • @DruNature
    @DruNature 2 ปีที่แล้ว +7

    ... IM SPEECHLESS in two videos, in under 20 minutes you've taught me more about math than entire semesters worth of classes! excellent job Michael, you are basically a genius!

  • @camelopardalis84
    @camelopardalis84 5 ปีที่แล้ว +492

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

    • @falcon-vx3cc
      @falcon-vx3cc 5 ปีที่แล้ว +2

      It's not mentioned

    • @ekn_38
      @ekn_38 5 ปีที่แล้ว +29

      Commented the same,just saw yours recently and deleted mine

    • @camelopardalis84
      @camelopardalis84 5 ปีที่แล้ว +6

      @@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 5 ปีที่แล้ว +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 5 ปีที่แล้ว +5

      Madelbrot ist das beste brot

  • @dbarr49
    @dbarr49 5 ปีที่แล้ว +41

    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 5 ปีที่แล้ว +1

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

  • @GeoffBlackmore
    @GeoffBlackmore 5 ปีที่แล้ว +223

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

    • @kazzajaxon7566
      @kazzajaxon7566 5 ปีที่แล้ว +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 5 ปีที่แล้ว +24

      Kazza Jaxon
      Well, except for maybe Mind Field.

    • @Mew__
      @Mew__ 5 ปีที่แล้ว +5

      Don’t forget Brain Candy Live.

    • @sithlorddread8721
      @sithlorddread8721 5 ปีที่แล้ว +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 5 ปีที่แล้ว +22

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

  • @SahhiiChannel
    @SahhiiChannel 5 ปีที่แล้ว +34

    7:26 onederful

  • @Zeldaschampion
    @Zeldaschampion 5 ปีที่แล้ว +30

    Eye witnessing Micheal's transformation into Kratos.

  • @NewbyTon
    @NewbyTon 5 ปีที่แล้ว +176

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

    • @namelessLesbian
      @namelessLesbian 5 ปีที่แล้ว +4

      Ding dongers

    • @rooivalk1
      @rooivalk1 5 ปีที่แล้ว +4

      Ding my Dong fellow ding dongers

    • @EpicRainbowLollipop
      @EpicRainbowLollipop 5 ปีที่แล้ว +1

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

    • @bojackson3073
      @bojackson3073 5 ปีที่แล้ว +1

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

  • @rodrigovillanueva5384
    @rodrigovillanueva5384 5 ปีที่แล้ว +52

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

  • @zergy55
    @zergy55 4 ปีที่แล้ว +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 5 ปีที่แล้ว +23

    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 5 ปีที่แล้ว +1

      Yay! Jonathan Coulton!

    • @Vesperon
      @Vesperon 5 ปีที่แล้ว

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

  • @TheGoupil19
    @TheGoupil19 5 ปีที่แล้ว +32

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

  • @quackerzdb
    @quackerzdb 5 ปีที่แล้ว +276

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

    • @theTavis01
      @theTavis01 5 ปีที่แล้ว +67

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

    • @ARandomUsernameForMe
      @ARandomUsernameForMe 5 ปีที่แล้ว +13

      Nice try Bill Travis ;)

    • @Vesperon
      @Vesperon 5 ปีที่แล้ว +16

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

    • @RedHairdo
      @RedHairdo 5 ปีที่แล้ว +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 5 ปีที่แล้ว

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

  • @HuntressCody
    @HuntressCody 5 ปีที่แล้ว +7

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

  • @ArianSadrayi
    @ArianSadrayi 5 ปีที่แล้ว +5

    1:55 when Michael suddenly gets possessed by Jake.

  • @NobodyXChallengerYT
    @NobodyXChallengerYT 5 ปีที่แล้ว +431

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

    • @theTavis01
      @theTavis01 5 ปีที่แล้ว +111

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

    • @TroyWuelfing
      @TroyWuelfing 5 ปีที่แล้ว +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 5 ปีที่แล้ว +28

      @@TroyWuelfing Thank you for the support!

    • @theTavis01
      @theTavis01 5 ปีที่แล้ว +8

      @@loremipsum313 that's awesome!

    • @euleer.-.9385
      @euleer.-.9385 5 ปีที่แล้ว

      @@theTavis01 did they contact you?

  • @elliottmcollins
    @elliottmcollins 5 ปีที่แล้ว +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 5 ปีที่แล้ว +53

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

    • @spart169
      @spart169 5 ปีที่แล้ว +11

      You didnt invent the Mandelbrot

    • @m.c-filis
      @m.c-filis 5 ปีที่แล้ว +3

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

    • @theTavis01
      @theTavis01 5 ปีที่แล้ว +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 5 ปีที่แล้ว

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

  • @josephmcluckie2512
    @josephmcluckie2512 3 ปีที่แล้ว +9

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

    • @theodoreklopman7057
      @theodoreklopman7057 3 ปีที่แล้ว +1

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

  • @LittleBitVic
    @LittleBitVic 5 ปีที่แล้ว +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 ปีที่แล้ว +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 ปีที่แล้ว

      ​@@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"

  • @mebamme
    @mebamme 5 ปีที่แล้ว +107

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

    • @Zeph_
      @Zeph_ 5 ปีที่แล้ว +8

      i think it is

    • @ChazCharlie1
      @ChazCharlie1 5 ปีที่แล้ว

      I thought so too!

    • @FractalWoman
      @FractalWoman 5 ปีที่แล้ว +2

      @@ChazCharlie1 Yup. CARDIOID is the correct spelling.

  • @theTavis01
    @theTavis01 5 ปีที่แล้ว +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 5 ปีที่แล้ว +9

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

    • @theTavis01
      @theTavis01 5 ปีที่แล้ว +9

      @@PlayhardandKillcam thanks!!

    • @LaGuerre19
      @LaGuerre19 5 ปีที่แล้ว +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 5 ปีที่แล้ว +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 5 ปีที่แล้ว +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.

  • @jacobgarcia7918
    @jacobgarcia7918 3 ปีที่แล้ว +2

    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.

  • @NilesJohnson
    @NilesJohnson 5 ปีที่แล้ว +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 5 ปีที่แล้ว +19

      Spelled correctly too

    • @benthomason3307
      @benthomason3307 4 ปีที่แล้ว +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 ปีที่แล้ว

      @@benthomason3307 noone is you spastic

  • @1976Joachim
    @1976Joachim 5 ปีที่แล้ว +132

    Isn't it cardioid instead of Cardiod?

    • @c0rtikoZteroids1
      @c0rtikoZteroids1 5 ปีที่แล้ว +1

      That is correct

    • @charonder
      @charonder 5 ปีที่แล้ว

      Oof

    • @Madmagicanman1
      @Madmagicanman1 5 ปีที่แล้ว

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

    • @theTavis01
      @theTavis01 5 ปีที่แล้ว +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 5 ปีที่แล้ว +1

      Ouch! Proofreading Pays!

  • @thatcrystalpie
    @thatcrystalpie 5 ปีที่แล้ว +14

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

  • @greysonmiller9407
    @greysonmiller9407 5 ปีที่แล้ว +8

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

  • @camelopardalis84
    @camelopardalis84 5 ปีที่แล้ว +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.

  • @ConstantThrowing
    @ConstantThrowing 5 ปีที่แล้ว +16

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

  • @goldenceaser7839
    @goldenceaser7839 5 ปีที่แล้ว +74

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

    • @stampfertnilpfert4485
      @stampfertnilpfert4485 5 ปีที่แล้ว +2

      There should be.

    • @inturnetexplorer8005
      @inturnetexplorer8005 5 ปีที่แล้ว +12

      Anyone, infinite universes, might even be u

    • @yugal.prakash
      @yugal.prakash 5 ปีที่แล้ว +4

      Vice president would be Jake from Vsauce 3

    • @goldenceaser7839
      @goldenceaser7839 5 ปีที่แล้ว +5

      I really feel like Bill Nye would be on cabinet.

    • @qwertyasdf9290
      @qwertyasdf9290 5 ปีที่แล้ว +1

      It could be BILLY
      (VSauce2 reference)

  • @therationale2289
    @therationale2289 5 ปีที่แล้ว +12

    3:29 the funniest thing Michael has ever done imo

  • @mistirion4929
    @mistirion4929 3 ปีที่แล้ว +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

  • @raybribreezy
    @raybribreezy 5 ปีที่แล้ว +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.

  • @peril7531
    @peril7531 5 ปีที่แล้ว +114

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

    • @gutsy417
      @gutsy417 5 ปีที่แล้ว +9

      Must have made a mistake

    • @VarxenCore9
      @VarxenCore9 5 ปีที่แล้ว +7

      DONG was the previous name bruh

    • @l.o.gfauzan1877
      @l.o.gfauzan1877 5 ปีที่แล้ว +17

      @@VarxenCore9 r/wooosh

    • @budofchaos
      @budofchaos 5 ปีที่แล้ว

      Greg The dank memer yeah

    • @brookeguthrie3417
      @brookeguthrie3417 4 ปีที่แล้ว

      That's what I'm thinking about

  • @obisidian9243
    @obisidian9243 4 ปีที่แล้ว +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.

  • @RexTheOnlyOne
    @RexTheOnlyOne 5 ปีที่แล้ว +26

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

  • @slook7094
    @slook7094 5 ปีที่แล้ว +217

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

    • @jay-wq5lw
      @jay-wq5lw 4 ปีที่แล้ว

      hmm what’s the difference

    • @germansnowman
      @germansnowman 3 ปีที่แล้ว +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 3 ปีที่แล้ว

      ok

  • @Supremer_2
    @Supremer_2 5 ปีที่แล้ว +14

    9:45 u never know what’s gonna happen * kiss *lol 😂

  • @SloaneGrey
    @SloaneGrey 5 ปีที่แล้ว

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

  • @rateeightx
    @rateeightx 5 ปีที่แล้ว +4

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

  • @WhattheHectogon
    @WhattheHectogon 5 ปีที่แล้ว +143

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

    • @cavalex
      @cavalex 5 ปีที่แล้ว

      Maybe thats the plural(??) idk

    • @WhattheHectogon
      @WhattheHectogon 5 ปีที่แล้ว +3

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

    • @munjee2
      @munjee2 5 ปีที่แล้ว +1

      Like salvia

    • @cavalex
      @cavalex 5 ปีที่แล้ว

      @@WhattheHectogon Yeah probably its a typo

    • @maracachucho8701
      @maracachucho8701 5 ปีที่แล้ว +19

      I want to unknow this

  • @aikenanderson22
    @aikenanderson22 3 ปีที่แล้ว +7

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

  • @wallybeery4058
    @wallybeery4058 3 ปีที่แล้ว

    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!

  • @knietieflinux
    @knietieflinux 5 ปีที่แล้ว +6

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

  • @tristimulus
    @tristimulus 5 ปีที่แล้ว +106

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

    • @JorWat25
      @JorWat25 5 ปีที่แล้ว +32

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

    • @celinak5062
      @celinak5062 5 ปีที่แล้ว

      +

    • @M3S777
      @M3S777 5 ปีที่แล้ว

      Totally! even the coast names! smh...

    • @StuiB08
      @StuiB08 5 ปีที่แล้ว

      +

    • @dudagladuos
      @dudagladuos 5 ปีที่แล้ว

      +

  • @pualamnusantara7903
    @pualamnusantara7903 5 ปีที่แล้ว +9

    Does Michael forget his Vsauce account's password?

  • @nrwchd
    @nrwchd ปีที่แล้ว +1

    levels of math
    1. numbers
    2. letters
    3. punctuations
    4. greek letters.
    5. fancy latin font letters that usually used by magician card decks.

  • @jackstewart8406
    @jackstewart8406 5 ปีที่แล้ว +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

  • @nickoulassi7584
    @nickoulassi7584 5 ปีที่แล้ว +6

    2:23 Hey Vsauce, middle finger here

  • @krestovgus
    @krestovgus 3 ปีที่แล้ว +4

    Michael: "this year has been a wild ride"
    Me: **Checks upload date, sees it's not 2020** "uhhhh..."

  • @qwertyuiopasdfghjklzxcvbnm-a
    @qwertyuiopasdfghjklzxcvbnm-a 10 หลายเดือนก่อน +2

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

    • @hiyohiy
      @hiyohiy 10 หลายเดือนก่อน

      oh no