• Mandelbrot and Julia sets

    From Francois LE COAT@21:1/5 to All on Wed Nov 30 12:00:01 2022
    Hi,

    Here is a part of Mandelbrot fractal set in 3D with my software:

    <https://www.youtube.com/watch?v=Yf7q2KdAS-4>

    In Eureka 2.12 the function is julia(x-0.1562+i*(y+1.0323),0) plotted
    in ±[0.02,0.015]. 3D is obtained with the approximation of distances
    algorithm. The function julia(z,z') corresponds to the Mandelbrot set
    when z varies, and Julia when z' varies.

    Here is a part of Julia fractal subset in 3D with my software:

    <https://www.youtube.com/watch?v=NIJSr7CsLR0>

    In Eureka 2.12 the function is julia(-0.82+i*0.18,y*exp(i*x)) plotted
    in [-PI/2,PI/2][0,PI/2] The 3D is obtained with the approximation of
    distances algorithm. The function julia(z,z') corresponds to the
    Mandelbrot set when z varies, and Julia when z' varies.

    The surfaces were exported from Eureka 2.12 in 3D ".TRI" format and
    transformed into a POV-Ray script with `tri2pov.ttp`. The same move
    around the surface is performed, with rotations of one degree. This
    is an illustration of the export possibilities of Eureka 2.12 =)

    I wish you will appreciate...

    MathMod 12 will support Mandelbrot and Julia fractal sets, and I'm
    sure it will be great! Link: <https://www.facebook.com/parisolab/>

    Best regards,

    --
    François LE COAT
    Author of Eureka 2.12 (2D Graph Describer, 3D Modeller) http://eureka.atari.org/

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