The Mandelbrot Fractals Weird Cousins

Поділитися
Вставка
  • Опубліковано 6 жов 2024

КОМЕНТАРІ • 27

  • @joeeeee8738
    @joeeeee8738 11 місяців тому +2

    The image at 6:38 is just amazingly beautiful !!

    • @joeeeee8738
      @joeeeee8738 11 місяців тому

      Please, share it in HD with a link

    • @verymuchtom
      @verymuchtom  11 місяців тому +1

      Hey thanks dude I appreciate that! :)
      You can download the images from this folder: drive.google.com/drive/folders/12HifiiRnZ0p6QYpO8BblNdb1r4AlLK0W?usp=sharing

  • @amyslittlebigworld
    @amyslittlebigworld 11 місяців тому +1

    As a math nerd, I really appreciate how you included the actual equations along with the pretty pictures! 🤓 Looking forward to your next one!

    • @verymuchtom
      @verymuchtom  11 місяців тому +1

      Thanks! I wanted to show off some nice pictures, but I feel like just putting them in a vacuum without the mathematical context is far less interesting :) Next up is probably either the 4d Julia set or elementary cellular automaton :D

  • @jmiller6066
    @jmiller6066 3 місяці тому

    This is one of my favorite fractals! As you probably know, it's very slow to render normally due to how many samples are needed, but I was able to run them on a GPU with CUDA which is much faster albeit tricky to setup and program.

  • @guibix
    @guibix 9 місяців тому +1

    Great video! Thanks for your job in this topic!!
    I wonder what it would be like to see the 4D Mandelbrot/Julia ensemble in a 3D environment.
    One of the four parameters could be set as a constant and the other three could form a 3D scalar field represented with equipotential surfaces or density clouds. Then the constant could be modified to obtain 3D layers to obtain a 4D view in a 3D+t.
    Greeds!!

    • @verymuchtom
      @verymuchtom  8 місяців тому +2

      pretty much exactly the idea I’ve followed for my implementation, not a density cloud in my case because I was to stupid to write that up, but I’ve created the border using a signed distance function, creating a 3D slice of the set and then varied the fourth parameter in time. But varying only one parameter doesn’t loop nicely and i’m a sucker for aesthetics so I varied two forming a circle in parameter space, giving a nice animation loop :)

  • @DadicekCz
    @DadicekCz 3 місяці тому +1

    Wow, this is such a quality content!

    • @varionmori709
      @varionmori709 2 місяці тому

      Yeah, it's got my whole mind oszillating right now, due to how great the quality of the content truly is!

  • @harriehausenman8623
    @harriehausenman8623 3 місяці тому +1

    btw, dont worry about the naming of the Buddhabrot. Buddha get's it 😉 It's not like 'the others' 😆

  • @smergthedargon8974
    @smergthedargon8974 11 місяців тому

    6:50
    Oh man, I like this one! It's almost alien-looking.

  • @landonkryger
    @landonkryger 11 місяців тому

    7:50 One of my favorite images of Julia sets is this, but instead of a 5x5, you do 100x100. You end up seeing a Mandelbrot fractal made of Julia fractals.
    Looking forward to the video on 4D Julia sets, I love them.

    • @verymuchtom
      @verymuchtom  11 місяців тому

      Oh true I totally forgot about that! Truly one of the most inefficient ways of creating the Mandelbrot set, but also the coolest :D

    • @timonkrebs6978
      @timonkrebs6978 3 місяці тому

      I think this is cool because it gives a feeling of the 4D Nature of these structures. Would love to see a video about the 3D projection of that. I made some renders and they also look sick.

  • @djadj_
    @djadj_ 2 місяці тому

    the nebulabar would make an amazing album cover

    • @verymuchtom
      @verymuchtom  2 місяці тому +1

      Agreed! I started making fractals because I needed a cover for a song of mine, by now I’d probably have to record hundreds of albums to use up all my images 🫠

    • @djadj_
      @djadj_ 2 місяці тому

      @@verymuchtom I've got too many songs and not enough covers, you've got too many covers and not enough songs... what a world

  • @NonTwinBrothers
    @NonTwinBrothers 11 місяців тому

    0:44 wait until you find out about the Empty Hold album cover :D

    • @verymuchtom
      @verymuchtom  11 місяців тому

      Oh true! I totally forgot about that :D I swear I heard about that in some UA-cam video before somewhere

  • @MattHudsonAtx
    @MattHudsonAtx 11 місяців тому

    "the nebula ship...also exists"
    bahahahahaha

  • @harriehausenman8623
    @harriehausenman8623 3 місяці тому +1

    He didn't even show the 4d Julia Set!
    jk 😆

  • @user-gs9br6ih2n
    @user-gs9br6ih2n 11 місяців тому

    Wow

  • @lucianchauvin8587
    @lucianchauvin8587 11 місяців тому

    amazing video

  • @123followtheleader
    @123followtheleader 11 місяців тому

    music source?

    • @verymuchtom
      @verymuchtom  11 місяців тому

      I’ve written it myself for the video :)