• Re: Rotation Bifurcation...

    From sobriquet@21:1/5 to All on Sat Mar 30 06:13:04 2024
    Op 30/03/2024 om 01:24 schreef Chris M. Thomasson:
    A strange bifurcation algorithm from an older iterated function system
    of mine:

    https://youtu.be/XKhS_nklCkE

    My pseudo code is in the description:

    ______________
    // px_mutation interpolates from -4...4 across each frame; 1440 here.

    render frames:
    _________
    // angle interpolates from 0...pi2 across iterations
    // px = py = 0

    // Iteration:
    px = sin(angle * px_mutation);
    py = cos(angle * py);
    ______________

    Anybody should be able to reproduce it on their end. Right?

    It's all 2d, but has a 3d vibe! Nice.

    Any thoughts?


    Maybe add audio?

    https://www.youtube.com/watch?v=-T1tMQaZCtw

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  • From Volney@21:1/5 to Chris M. Thomasson on Sat Mar 30 12:18:01 2024
    On 3/29/2024 8:24 PM, Chris M. Thomasson wrote:
    A strange bifurcation algorithm from an older iterated function system
    of mine:

    https://youtu.be/XKhS_nklCkE

    My pseudo code is in the description:

    ______________
    // px_mutation interpolates from -4...4 across each frame; 1440 here.

    render frames:
    _________
    // angle interpolates from 0...pi2 across iterations
    // px = py = 0

    // Iteration:
    px = sin(angle * px_mutation);
    py = cos(angle * py);
    ______________

    Anybody should be able to reproduce it on their end. Right?

    It's all 2d, but has a 3d vibe! Nice.

    Any thoughts?

    It looks like a fractal version of an optical illusion of whether a
    cylinder (with the fractal on it) is rotating in one direction or the other.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Shayne Tai Kwan@21:1/5 to Chris M. Thomasson on Sun Mar 31 11:51:07 2024
    XPost: sci.physics.relativity, sci.physics

    Chris M. Thomasson wrote:

    On 3/30/2024 9:18 AM, Volney wrote:
    It looks like a fractal version of an optical illusion of whether a
    cylinder (with the fractal on it) is rotating in one direction or the
    other.

    Notice the alpha blend where we can see through the illusion of a 2d
    plane looking 3d even with a completely 2d IFS? I did some simple 3d volumetric protrusions of it. Well, it looks like some sort of strange
    helix curve. px_mutation going from -4...4 across the frames (1440) here
    is the main animation driver, so to speak. when px_mutation hits zero,
    the plane is on edge where we can see a thin vertical line. In the
    volumetric we can see how its a plane because we can move the camera
    around it. You can see this moment right around this time: https://youtu.be/XKhS_nklCkE?t=29

    so you are scratching the shit out, you don't know what you do, and expect magic. "it looks like a cylinder" lol.

    โ€˜๐—ข๐—ฑ๐—ฒ๐˜€๐˜€๐—ฎ_๐˜„๐—ถ๐—น๐—น_๐—ณ๐—ฎ๐—น๐—นโ€™,_๐— ๐˜‚๐˜€๐—ธ_๐˜„๐—ฎ๐—ฟ๐—ป๐˜€_๐—จ๐—ธ๐—ฟ๐—ฎ๐—ถ๐—ป๐—ฒ
    Kiev should pursue a โ€œnegotiated settlementโ€ with Moscow before it loses all access to the Black Sea, the billionaire has argued https://www.%72t.com/news/595173-musk-odessa-ukraine-warning/

    Musk = CIA = Message to Z. Surrender.

    ๐—ฅ๐˜‚๐˜€๐˜€๐—ถ๐—ฎ_๐—ฑ๐—ฒ๐˜€๐˜๐—ฟ๐—ผ๐˜†๐˜€_๐˜๐—ต๐—ฟ๐—ฒ๐—ฒ_๐—จ๐—ธ๐—ฟ๐—ฎ๐—ถ๐—ป๐—ถ๐—ฎ๐—ป_๐˜„๐—ฎ๐—ฟ๐—ฝ๐—น๐—ฎ๐—ป๐—ฒ๐˜€_-_๐— ๐—ผ๐——
    The Russian armed forces say they targeted three Su-25s in Nikolaev https://www.%72t.com/russia/595181-su-25-jets-nikolaev/

    Happy Eoster! ๐Ÿ‘๐Ÿ‘๐Ÿ‘

    We want the f16 and f35! 50 years old F-16 didn't brought victory for NATO retards in Vietnam and Afghanistan either !

    the locals will be saying, the headache waiting for the Russian missiles
    to arrive was getting to much.

    Russian people is smashing and destroying those NATO retards ! Same as
    they did in Stalingrad, Kursk, Berlin and in Vietnam !

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  • From Randy Babeshko@21:1/5 to Chris M. Thomasson on Sun Mar 31 21:33:57 2024
    XPost: sci.physics.relativity, sci.physics

    Chris M. Thomasson wrote:

    expect magic. "it looks like a cylinder" lol.
    [...]

    Have you tried to recreate my bifurcation diagram IFS for yourself?

    what are you using for bifurcation and do you discretize, what schemes? I
    guess you start with a differential math expression then discretize.

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    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From sobriquet@21:1/5 to All on Mon Apr 1 07:13:43 2024
    Op 30/03/2024 om 01:24 schreef Chris M. Thomasson:
    A strange bifurcation algorithm from an older iterated function system
    of mine:

    https://youtu.be/XKhS_nklCkE

    My pseudo code is in the description:

    ______________
    // px_mutation interpolates from -4...4 across each frame; 1440 here.

    render frames:
    _________
    // angle interpolates from 0...pi2 across iterations
    // px = py = 0

    // Iteration:
    px = sin(angle * px_mutation);
    py = cos(angle * py);
    ______________

    Anybody should be able to reproduce it on their end. Right?

    It's all 2d, but has a 3d vibe! Nice.

    Any thoughts?

    I hope I can find a more suitable way to plot a bifurcation
    diagram parametrically in desmos...

    https://www.desmos.com/calculator/js1vnbbjjb

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  • From Phil Carmody@21:1/5 to sobriquet on Sun Apr 7 15:45:38 2024
    sobriquet <dohduhdah@yahoo.com> writes:
    Op 30/03/2024 om 01:24 schreef Chris M. Thomasson:
    A strange bifurcation algorithm from an older iterated function
    system of mine:

    https://youtu.be/XKhS_nklCkE

    Maybe add audio?

    https://www.youtube.com/watch?v=-T1tMQaZCtw

    That is one of the most superb uses of sonification I have ever seen.
    Hats off to you, sir.

    Phil
    --
    We are no longer hunters and nomads. No longer awed and frightened, as we have gained some understanding of the world in which we live. As such, we can cast aside childish remnants from the dawn of our civilization.
    -- NotSanguine on SoylentNews, after Eugen Weber in /The Western Tradition/

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)