The Mandelbrot Set

  • Published: 12 December 2018
  • I will send my brain food right to your door:
    Vsauce PO Box: PO Box 33168
    L.A. CA 90033
    ***Click "SHOW MORE" For Links***
    Mandelbrot Zoom
    Hosted by
    Michael Stevens
    Edited by
    Jack Merline
    VFX by
    Eric Langlay
    Music by Jake Chudnow
    and Audio Network
    ***VSAUCE LINKS***

Comments • 3 664

  • Mr. Fractal
    Mr. Fractal  22 jam yang lalu

    You have no idea how beautiful Mandelbrot set could be. Checkout my channel for the proof!

    • Theodore Bear
      Theodore Bear  2 hari yang lalu


      • Sky & Rose
        Sky & Rose  4 hari yang lalu

        Oh my......I should probably get that!!!😄😄😄

        • Colin Java
          Colin Java  5 hari yang lalu

          2:58, nope, any real number times itself is non-negative, but I'm just nitpicking. 9:01, mistake, -1 should be in brackets if you're gonna square it.

          • - RedBlazerFlame -
            - RedBlazerFlame -  3 hari yang lalu

            yeah because 0^2=0 which is neither positive nor negative and -1^2=-1x1^2=-1x1=-1

            • Bob Seamon
              Bob Seamon  9 hari yang lalu

              I usually like Michael's works... but I feel like he spent more time advertising the poster and mystery box than describing the mandelbrot set. While he went into the mathematics of the set, he completely skipped over the beauty of the set, covering things like how computers can calculate the set to reveal amazing works of art and how the main elements of the set are repeated again and again in slightly different variations at different levels of magnification that go beyond the size of the visible universe. No examples other than the map were shown.

              • Finlay Hamm
                Finlay Hamm  13 hari yang lalu

                valley of the *Twin Cheeks*

                • TCGamerOfficial
                  TCGamerOfficial  14 hari yang lalu

                  Im a grade 7 student. Apparently i didnt understand a single thing you said when it came to your super power called "Mathematics".

                  • Evan
                    Evan  17 hari yang lalu

                    UH OH

                    • EhWhyNot?
                      EhWhyNot?  19 hari yang lalu

                      I like how at this point his beard length represents his sanity/insanity

                      • Aphelion Eye
                        Aphelion Eye  22 hari yang lalu

                        I think Micheal has been doing some chemistry experiments recently hahahah

                        • Patriot
                          Patriot  22 hari yang lalu

                          Curiosity box people infringed the Mandelmap copyright and bloody well can't copy the CORRECT spelling of CARDIOID from the map they infringed copyright from! Shameful spelling and shameful copyright infringement!

                          • Patriot
                            Patriot  22 hari yang lalu

                            Bill Tavis - from Ding I got here and located your true work of art poster on Amazon. Based on images from the start-up and Amazon, I love the accuracy and aesthetic cartography art style which I found to be far superior to what the vsauce mystery box people haphazardly slapped together using your concepts, ideas, and visualizations. Their map as seen in google images is badly proportioned in aspect ratio ( no golden ratio so essentially it's not aesthetic for a wall), has spelling mistakes, and artwork more akin to Barnum and bailey's Circus posters ( basically unprofessional non vintage cartography). For sure getting your artwork not vsauce's poor rendition of your copyrighted artwork.

                            • Bill Tavis
                              Bill Tavis  15 hari yang lalu

                              Thank you for recognizing the time and effort I put into my poster! I hope you do get it and enjoy!

                              • Basil Agboola
                                Basil Agboola  23 hari yang lalu

                                3:26 stop it!😂

                                • retarded fucking telepath memes
                                  retarded fucking telepath memes  24 hari yang lalu

                                  "it's a little complex" - someone behind the camera

                                  • David Gallego Álvarez
                                    David Gallego Álvarez  24 hari yang lalu

                                    I thought for ages the channel's real name was DING

                                    • Flynn Sowley
                                      Flynn Sowley  25 hari yang lalu

                                      I love the math videos

                                      • Paige Leslie
                                        Paige Leslie  26 hari yang lalu

                                        I’m watching this on acid

                                        • Christina Drescher
                                          Christina Drescher  26 hari yang lalu

                                          If you dont remember, numbers dont exist. All sets are illusions.

                                          • matopuk123
                                            matopuk123  29 hari yang lalu

                                            So complex numbers are just 2d numbers its more simple explanation, or is it? Have you considered the island map is drawn on globe?

                                            • Offheaven
                                              Offheaven  29 hari yang lalu

                                              bro you're a trip! XD that Ayahuasca transcended you to a higher mind

                                              • Quinn Fastnow
                                                Quinn Fastnow  29 hari yang lalu

                                                coastline is infinite anyways because of the coastline paradox

                                                • Foxina
                                                  Foxina  Bulan Yang lalu

                                                  also the shape on the map is called a fractle! i havent watched the full vid yet so im waiting for him to say it

                                                  • Ian Easton
                                                    Ian Easton  Bulan Yang lalu

                                                    RIP When it was called Dong

                                                    • Joe W.
                                                      Joe W.  Bulan Yang lalu

                                                      Those non-euclidean shapes tho 😤😤😤

                                                      • John Rock
                                                        John Rock  Bulan Yang lalu

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

                                                        • AvixK
                                                          AvixK  Bulan Yang lalu

                                                          Tis a sad day when dong must rename itself to ding for advertisment and monitization reasons

                                                          • lameemo
                                                            lameemo  Bulan Yang lalu

                                                            9:43 the demons under my bed before I fall asleep at night

                                                            • Dave Fashenpour
                                                              Dave Fashenpour  Bulan Yang lalu

                                                              Why Mandelbrot? See:

                                                              • The Frustrated Gamer
                                                                The Frustrated Gamer  Bulan Yang lalu

                                                                Google:how many IDclips channels do you want? Micheal:Yes

                                                                • hella beach's
                                                                  hella beach's  Bulan Yang lalu

                                                                  can you speak Russian because i can фыы

                                                                  • Chaos Omega
                                                                    Chaos Omega  13 hari yang lalu

                                                                    Нет, но я могу использовать Google Translate.

                                                                    • Lizard Guy85
                                                                      Lizard Guy85  Bulan Yang lalu

                                                                      What about i i

                                                                      • Binit Poddar
                                                                        Binit Poddar  Bulan Yang lalu

                                                                        2+3 is 5 *Or is it?*

                                                                        • TheXug
                                                                          TheXug  Bulan Yang lalu

                                                                          To answer the odd1sout’s question, the area of a fractal is not infinite.

                                                                          • Johnny mundo Mundo
                                                                            Johnny mundo Mundo  Bulan Yang lalu

                                                                            For what I’m seeing with a lot of these Bill Tavis comments it’s like does he have his designed copyrighted or patented? If he does sue. Simple. If he doesn’t then it’s up for grabs for anyone. Happens a lot in businesses

                                                                            • Bill Tavis
                                                                              Bill Tavis  15 hari yang lalu

                                                                              Anything that is created is automatically copyrighted. I'm not a big fan of suing though, and I am satisfied with their promise to me to not ever make or sell their poster again. Also I don't see any reason why people should not call him out for his scummy behavior in the comments. As I joked on my Twitter, I am flattered that some big shot wanted to imitate me - my real concern though is that his poster is highly inaccurate. It was obviously made with money as the highest objective, while mine was made with education as the highest objective (another reason I'm not interested in suing - how would that educate anyone?) In the end, the vast majority of people can see the obvious advantage mine has in terms of design, originality, availability, and accuracy, and my sales have been boosted by the ordeal (I'm not opposed to making money, it just wasn't my primary goal).

                                                                              • Johnny mundo Mundo
                                                                                Johnny mundo Mundo  Bulan Yang lalu

                                                                                It doesn’t matter if it’s right or wrong. It’s business that’s why they have copyrights and patents to prevent someone from stealing someone’s intellectual property if they don’t then it’s just a lose cause

                                                                                • Carlo Olivier
                                                                                  Carlo Olivier  Bulan Yang lalu

                                                                                  11:12 I really wish it was "Re" ;)

                                                                                  • ВАДЯ
                                                                                    ВАДЯ  Bulan Yang lalu


                                                                                    • MindDrift
                                                                                      MindDrift  Bulan Yang lalu

                                                                                      ....what is this? Micheal really sold out huh...

                                                                                      • VCuber X
                                                                                        VCuber X  Bulan Yang lalu

                                                                                        man i wish yoy did ot on an imaginary number

                                                                                        • Prinsip e
                                                                                          Prinsip e  Bulan Yang lalu

                                                                                          My pp is a mandelbrot

                                                                                          • Chaos Omega
                                                                                            Chaos Omega  13 hari yang lalu

                                                                                            Mine is an ouroboros

                                                                                            • Frog of Anguish
                                                                                              Frog of Anguish  Bulan Yang lalu

                                                                                              My guess to the area is e/2

                                                                                              • TeraBite Gaming
                                                                                                TeraBite Gaming  Bulan Yang lalu

                                                                                                He should do a face reveal

                                                                                                • SilenTree 12th
                                                                                                  SilenTree 12th  Bulan Yang lalu

                                                                                                  when I clicked the video, I thought it would be about bread because mandelbrot translates in german to almond bread

                                                                                                  • SuperVixen5
                                                                                                    SuperVixen5  Bulan Yang lalu

                                                                                                    Maybe in the future we could have portals to a universe where the Mandelbrot island is real and we could live on it, or maybe animals would act like people!

                                                                                                    • SuperVixen5
                                                                                                      SuperVixen5  Bulan Yang lalu

                                                                                                      *BABYBROT* WHAT THE HECK IS A BABY BROT?!?

                                                                                                      • NoHitboxForAsh
                                                                                                        NoHitboxForAsh  Bulan Yang lalu

                                                                                                        3:29 potential meme idea, im too lazy to think of one so someone reply and remind me to make one

                                                                                                        • Kayan Dt
                                                                                                          Kayan Dt  Bulan Yang lalu

                                                                                                          Michael makes me really hungry for that curiosity box, 'I wish I could have that'!!

                                                                                                          • Miki’s Gaming
                                                                                                            Miki’s Gaming  Bulan Yang lalu

                                                                                                            A fractal!

                                                                                                            • Jose Angarita
                                                                                                              Jose Angarita  Bulan Yang lalu

                                                                                                              Can I still get that Mandelbrot set Map 🗺

                                                                                                              • Bill Tavis
                                                                                                                Bill Tavis  15 hari yang lalu

                                                                                                                You can get the original Mandelbrot map that I designed, it's called the Mandelmap and it is available worldwide. It is far superior to this cheap imitation - just search the name on google!

                                                                                                                • Christine Walsh
                                                                                                                  Christine Walsh  Bulan Yang lalu

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

                                                                                                                  • CubeD
                                                                                                                    CubeD  Bulan Yang lalu

                                                                                                                    Is i²=i?

                                                                                                                    • Lünkel
                                                                                                                      Lünkel  Bulan Yang lalu

                                                                                                                      @CubeD So are we talking about -(i^2) or (-i)^2? The first one indeed equals 1, since i^2 by definition is -1 and multiplying that by -1 gives you 1.

                                                                                                                      • CubeD
                                                                                                                        CubeD  Bulan Yang lalu

                                                                                                                        But how can be -i²=1?

                                                                                                                        • Lünkel
                                                                                                                          Lünkel  Bulan Yang lalu

                                                                                                                          @CubeD Then 1 squared would be equal to -i. That obviously doesn't make any sense.

                                                                                                                          • CubeD
                                                                                                                            CubeD  Bulan Yang lalu

                                                                                                                            Somewhere I saw that sqrt -i =1 or the base of the third dimensional numberline

                                                                                                                            • Rovix
                                                                                                                              Rovix  Bulan Yang lalu

                                                                                                                              is the square root of i on the z axis?

                                                                                                                              • yusuf red
                                                                                                                                yusuf red  Bulan Yang lalu

                                                                                                                                Man, I really want to subscribe to the Curiosity Box but I wish I have the $$ since I'm only a university student, $$ is hard to come by especially in Malaysia so I have to sort my priorities first.

                                                                                                                                • Elijah Masquelier
                                                                                                                                  Elijah Masquelier  Bulan Yang lalu


                                                                                                                                  • Anonymous Hacker
                                                                                                                                    Anonymous Hacker  Bulan Yang lalu

                                                                                                                                    buT micHaeL, wHaT'S tHE sQuArE roOt oF -i, hUh?

                                                                                                                                    • The Almighty Ninja
                                                                                                                                      The Almighty Ninja  Bulan Yang lalu

                                                                                                                                      0:10 Says dong instead of ding

                                                                                                                                      • Fahad Alhudaithi
                                                                                                                                        Fahad Alhudaithi  2 bulan yang lalu

                                                                                                                                        the teachers do not explain how and why the just teach us how to go from point A to point B, Michael just explained everything in a 15 minute video that i actually enjoyed. 1 hour of youtube is better than 1 week of school. 1 whole year of studying the same thing and i finally understand it from a youtube video

                                                                                                                                        • WahranRai
                                                                                                                                          WahranRai  2 bulan yang lalu

                                                                                                                                          Your head with beard looks like fractal belonging to Mandelbrot set- I am sure if we zoom into your beard we will find the "rabbit" julia set

                                                                                                                                          • Mrityunjay Kandwal
                                                                                                                                            Mrityunjay Kandwal  2 bulan yang lalu

                                                                                                                                            That infinity symbol thing was awesome. It really annoyed me when you drew it like 00

                                                                                                                                            • softly snowing
                                                                                                                                              softly snowing  2 bulan yang lalu

                                                                                                                                              9:48 🤔

                                                                                                                                              • Beacon Blaster
                                                                                                                                                Beacon Blaster  2 bulan yang lalu

                                                                                                                                                What is the 3rd axis

                                                                                                                                                • Turtle Shell
                                                                                                                                                  Turtle Shell  2 bulan yang lalu

                                                                                                                                                  When videos aren't big enough they become dongs.

                                                                                                                                                  • Louis Gildersleeve
                                                                                                                                                    Louis Gildersleeve  2 bulan yang lalu

                                                                                                                                                    Call me ding dong again micheal

                                                                                                                                                    • Swapple The Apple
                                                                                                                                                      Swapple The Apple  2 bulan yang lalu

                                                                                                                                                      0:46 it sounds like song has made a pretty substantial change in Michael's life... ( ͡° ͜ʖ ͡°)

                                                                                                                                                      • Bernát Fogarasi
                                                                                                                                                        Bernát Fogarasi  2 bulan yang lalu

                                                                                                                                                        2:55 Except zero. 0 • 0 = 0 (not pozitiv)

                                                                                                                                                        • Power 21
                                                                                                                                                          Power 21  2 bulan yang lalu

                                                                                                                                                          Carne de vhina D’ alho

                                                                                                                                                          • yobro manson
                                                                                                                                                            yobro manson  2 bulan yang lalu

                                                                                                                                                            Did you recite them for cinco's encyclopedia of numbers audiobook edition? Hopefully you also included the numbers lost to time like threven or neight or twine

                                                                                                                                                            • Alex Burns
                                                                                                                                                              Alex Burns  2 bulan yang lalu

                                                                                                                                                              Thats pretty cool! The square root of 1 is 1 AND -1. Also, the area of your mandelbrot set is the golden ratio or Phi. Phi is an ancient Greek discovery. Pinecones, eggs, sunflowers, everything. The number seems to be irrational but its 1.618 with many more decimal places.

                                                                                                                                                              • Emmanuel Monge
                                                                                                                                                                Emmanuel Monge  2 bulan yang lalu

                                                                                                                                                                where were you before i dropped outta college?

                                                                                                                                                                • Dirty Little Owl
                                                                                                                                                                  Dirty Little Owl  2 bulan yang lalu

                                                                                                                                                                  What does the 'B.' stand for in Benoit B. Mandelbrot? Benoit B. Mandelbrot.

                                                                                                                                                                  • Jorge Maeshiro
                                                                                                                                                                    Jorge Maeshiro  2 bulan yang lalu


                                                                                                                                                                    • Cody The Hunter
                                                                                                                                                                      Cody The Hunter  2 bulan yang lalu

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

                                                                                                                                                                      • Patrick Sweetman
                                                                                                                                                                        Patrick Sweetman  2 bulan yang lalu

                                                                                                                                                                        Great T-shirt.

                                                                                                                                                                        • Give me Lämp bröther
                                                                                                                                                                          Give me Lämp bröther  2 bulan yang lalu

                                                                                                                                                                          Dark mode friendly backgrounds please? Also can you make more existential crisis causing content like you did in vsauce?

                                                                                                                                                                          • Rellefg9
                                                                                                                                                                            Rellefg9  2 bulan yang lalu

                                                                                                                                                                            Ill have whatever Michael's having xD

                                                                                                                                                                            • Prem Ramman
                                                                                                                                                                              Prem Ramman  2 bulan yang lalu

                                                                                                                                                                              Is there a practical application to this ?