Damnimp
Damnimp
  • 3
  • 377 483
Hidden Structures of the Mandelbrot and Julia Sets
An exploration of the correlations between the Mandelbrot Set and the Julia Sets for z^2 + c. Followed by some flybys of the full Mandelbrot/Julia structures. Finally, an attempt to show the complete 4D Mandelbrot Set..with partial success.
Переглядів: 323 810

Відео

Julia Set Axis Sweep
Переглядів 49 тис.7 років тому
An animation of the Julia sets z^2 c along the x axis followed by a scan along the i axis. (If you don't like my music, hit the mute button!) (Rebuilt the video so it is in true HD...I'm still not sure about the colors...can't seem to make it brighter without losing detail...perhaps I should stop using purple!)
3D Julia Set Sweep #1
Переглядів 4,2 тис.7 років тому
All the Julia sets for z^2 c where c goes from -2 0i to the end of the set at 0.25 0i. Each set is then stacked on each other to give a 3D object. Created with a program I whipped up that generates an include file of cylinders read by Povray which raytraced the result. Each Julia set was calculated with a max iteration of 200 and a dots-per-unit of 200. Each complete set is separated from the n...

КОМЕНТАРІ

  • @empireempire3545
    @empireempire3545 21 день тому

    Music is way too loud, i cant hear your voice

  • @adsaalderson
    @adsaalderson Місяць тому

    A beautiful nightmare

  • @gregjames2684
    @gregjames2684 Місяць тому

    Imagine ifn only Mandelbrot himself could see what has become of his original plotting of the equation , , , Damnimp has created a masterpiece , , ,

  • @blackhole924
    @blackhole924 2 місяці тому

    I like this music

  • @blackhole924
    @blackhole924 2 місяці тому

    Music is a good once but Julia is has juliaset://?code=98E386C1974898B644FA00FE with this

  • @blackhole924
    @blackhole924 2 місяці тому

    The Julia sets with Mandelbrot juliaset://?code=98E386C1974898B644FA00FE

  • @shikaishik
    @shikaishik 3 місяці тому

    まるで筋繊維みたいですね

  • @IsZomg
    @IsZomg 4 місяці тому

    Not a great start to the video, I can't tell what the difference is between the Julia set and the Mandelbrot set. Equations are the same, rules are the same, why do they look different? What is the difference?

  • @AtzenGaffi
    @AtzenGaffi 4 місяці тому

    Man, the music is so distracting!

    • @_Admin
      @_Admin 4 місяці тому

      the music is dope

  • @sstaciestacie2409
    @sstaciestacie2409 5 місяців тому

    It's the shape of out universe. Lanhiakea looks very similar to some of the patterns in the end

    • @sstaciestacie2409
      @sstaciestacie2409 5 місяців тому

      of our universe

    • @Im_Rainrot
      @Im_Rainrot 5 місяців тому

      why would our universe be z²+c? Wanna explain that?

    • @sstaciestacie2409
      @sstaciestacie2409 4 місяці тому

      @@Im_Rainrot I dont know. looks very much like this. A lot of similar structures. Fibonacci numbers belong to our universe,ut they are within z²+c fractals also/

  • @saultube44
    @saultube44 5 місяців тому

    Lame explanation

  • @erawanpencil
    @erawanpencil 5 місяців тому

    I like to wonder if these images represent something, it would be so cool if they're like the frozen image of the decoupling of light and matter billions of years ago or some sort of projection of the first instant of life or DNA.

  • @FreeFreePLSTINE
    @FreeFreePLSTINE 5 місяців тому

    0:17 my fav

  • @kalium7600
    @kalium7600 7 місяців тому

    How did you render it? I really want to learn it! That's so beautiful!

  • @lizasovereign2840
    @lizasovereign2840 7 місяців тому

    z^2 + c = mandelbrot z^2 + ci = Julia set?

  • @bengalinsky4300
    @bengalinsky4300 8 місяців тому

    This video would be far easier to watch without music.

  • @lukatolstov5598
    @lukatolstov5598 8 місяців тому

    1:50 Why z = z² + c? Why not z³ or abs z²?

    • @Im_Rainrot
      @Im_Rainrot 5 місяців тому

      because mandelbrot set is specifically z²+c, you can perfectly run other equations, but mandelbrot set is z²+c

  • @lukatolstov5598
    @lukatolstov5598 8 місяців тому

    C is complex plane. X is real axis. Y is IMAGINARY axis.

  • @timleadbetter252
    @timleadbetter252 8 місяців тому

    Dude just casually dropping supercomputer level simulations of every possible Julia set like it’s no biggie. Mad

  • @megametal5246
    @megametal5246 8 місяців тому

    Man my hungry ass sees too much fishes

  • @jeffbrownstain
    @jeffbrownstain 11 місяців тому

    Are you still alive? Can you help me write code to visualize a set? It's too complex for my programs to work with..

    • @xs6819
      @xs6819 7 місяців тому

      Must not be never see any responses... A visual like this will kill a man

  • @1.4142
    @1.4142 11 місяців тому

    music too loud

  • @flexico64
    @flexico64 Рік тому

    Aha! So THAT is where the parabolas were hiding! I knew they had to be somewhere, what with the equation being a quadratic!

    • @pretentiousjackal
      @pretentiousjackal 9 місяців тому

      Looks like that's the part of the 4d set that is real for both z and c. I wish the videos on Mandelbrot and Julia sets showed that first, since it starts with something already intuitive.

  • @bananahamock1000
    @bananahamock1000 Рік тому

    so good, thanks for making this video my doug

  • @lumi2030
    @lumi2030 Рік тому

    in a nutshell julia sets are sets where you choose a constant c yourself and let z span over the complex plane. the mandelbrot set is the set where z starts from 0 and c spans over the complex plane. both are formed by the map z -> z^2+c and finding which values of z or c cause z to escape to infinity or not.

  • @xDevoneyx
    @xDevoneyx Рік тому

    You mentioned in a previous video. Which one is that exactly? Very interesting stuff, thanks a lot. (EDIT: Ah there are 2 other videos, so silly question really :D )

  • @alexiadamasceno1255
    @alexiadamasceno1255 Рік тому

    video kinda dark (in terms of brightness)

  • @laurenlewis4189
    @laurenlewis4189 Рік тому

    mandelbrot videos have no business going this hard. Excellent work: the most unique and enjoyable fractal video on the internet

  • @Enshadowed
    @Enshadowed Рік тому

    the 3D view resembles muscle tissue.

  • @mihailazar2487
    @mihailazar2487 Рік тому

    Can we get the music for this ?

  • @novygaming5713
    @novygaming5713 Рік тому

    tf with the background music we're learning about fractals not planning a heist

  • @renderjay6035
    @renderjay6035 Рік тому

    1000th Comment!

  • @teocorban
    @teocorban Рік тому

    9:08

  • @Sir_Prise_William_for_ReaL

    Oh thanks man!!! I was thinking before that one should visualize all Julia set along the real axis in a 3d model. I dont know how to do it and than I found your video. Awesom work! I would like to know what tools you used? I have also in mind the to make a 3d model of all "Multibrot" sets, meaning change the exponent of the equation gradually -> z_n+1 = z_n ^ x + c and let x range from 1 to infinity.

  • @YokiiTheIncredible
    @YokiiTheIncredible Рік тому

    Me when Gacha Club: Me: what?? Me: * grows her third eye* Me: i made the same thing. The end

  • @nodisalsi
    @nodisalsi Рік тому

    I have NO IDEA why you bothered with a musical track in the background. Call me a weirdo if you want, but it annoys me when broadcasters convey factual information with a musical backdrop - for drama, raising expectations, or instilling emotional reactions - when words alone would be perfectly adequate to create that impact. So I stop watching after 1 minute because I feel like I'm being patronised to the point of insult. If you don't understand, read this out aloud to back drop of "Rondo Alla Turca" played by ukulele and kazoo.

  • @kristophermccarthy8715
    @kristophermccarthy8715 Рік тому

    12:27 why you ruin the funny triangle

  • @op932
    @op932 Рік тому

    add membranes on the border? possible?

  • @stoicsteveYT
    @stoicsteveYT Рік тому

    Can we get access to the music used?

  • @bitcoinzoomer9994
    @bitcoinzoomer9994 Рік тому

    I am on a heroic dose of shrooms and acid at the moment. I think fractals are 2d projections of 4d shapes

  • @bitcoinzoomer9994
    @bitcoinzoomer9994 Рік тому

    I wonder if you could make a 3d model by combining these two

  • @leonverseproductions245
    @leonverseproductions245 Рік тому

    1:05 black Hole Fractal

  • @ianhames2465
    @ianhames2465 Рік тому

    Isn't it just beautiful. Thank you for sharing it with us lucky ones.

  • @kdesmaret
    @kdesmaret Рік тому

    L!771❤❤❤❤😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂

  • @ChiNguyen-tw7sj
    @ChiNguyen-tw7sj Рік тому

    1%2%3%%45%6%7%8%9%10%100%10000,0%

  • @ChiNguyen-tw7sj
    @ChiNguyen-tw7sj Рік тому

    1+1+1+1+1-1+1+1+1+1+1+12%=21%

  • @lukasmaclean9885
    @lukasmaclean9885 Рік тому

    That looks like an alien mothership

  • @dandidoo1393
    @dandidoo1393 Рік тому

    Sound in Ohio💀

  • @kebman
    @kebman Рік тому

    Music way too loud, barely possible to hear voice. Look up ducking, or how to do side-channel ducking.

  • @ISAAC_69000
    @ISAAC_69000 Рік тому

    11:35 I love how it syncs