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  1. #1
    DanEdge's Avatar
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    The Mandelbrot Set

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    z-><-z^2+c That's it. That's all there is to the Mandelbrot Set. This simple equation creates all that complexity, and mirrors so much of what we see in nature, from the branching of rivers to the growth of plants to the capillaries in our bodies.

    Dan EdgeMandel_zoom_07_satellite.jpg
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    *charisma*'s Avatar
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    Re: The Mandelbrot Set

    Fractals have always been interesting to me

    Which came first the equation or the image? They are just equals of each other, neither creating the other but rather each is in a different form of the same.


    (Such is) the artistry of Allah, Who disposes of all things in perfect order..." (al-Naml 27:88).
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    The Mandelbrot Set

    D e a t h

    is the easiest
    of all things after it
    ; ;

    the hardest
    of all things before it

  4. #3
    DanEdge's Avatar
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    Re: The Mandelbrot Set

    Quote Originally Posted by *charisma* View Post
    Which came first the equation or the image? They are just equals of each other, neither creating the other but rather each is in a different form of the same.
    Exactly! The thing I love about this fractal and others is that it is infinite in all directions. You can zoom in, zoom out, pan left, right, up, or down -- and it just keeps going and going.

    Mandelbrot was a particularly interesting character. He set out with the explicit goal of discovering mathematical equations to describe the human soul. He never got that far, and of course people thought he was crazy.

    But his work shows how very simple formulas can produce complex, orderly structures if you run them over and over again. Applied to biology, it is possible to see how many, many reproductive cycles can produce the diversity of living beings that we see on Earth today.

    Dan Edge

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    Re: The Mandelbrot Set

    Quote Originally Posted by DanEdge View Post
    Exactly! The thing I love about this fractal and others is that it is infinite in all directions. You can zoom in, zoom out, pan left, right, up, or down -- and it just keeps going and going.

    Mandelbrot was a particularly interesting character. He set out with the explicit goal of discovering mathematical equations to describe the human soul. He never got that far, and of course people thought he was crazy.

    But his work shows how very simple formulas can produce complex, orderly structures if you run them over and over again. Applied to biology, it is possible to see how many, many reproductive cycles can produce the diversity of living beings that we see on Earth today.

    Dan Edge
    yes Mandelbrot was a particularly interesting character. He set out with the explicit goal of discovering mathematical equations to describe the human soul. He never got that far, and of course people thought he was crazy.
    The Mandelbrot Set



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