The Mandelbrot

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  • Alfonso de Orte's avatar Artist
    Alfonso de...
  • DDG Model
    Artistic
  • Access
    Public
  • Created
    3yrs ago
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Prompt

The Mandelbrot Set is a fascinating mathematical object named after Benoit Mandelbrot. It is a fractal, which means it exhibits self-similarity at different scales. The Mandelbrot Set is defined in the complex plane and is constructed by iteratively applying a simple formula to each point in the plane. To visualize the Mandelbrot Set, we color each point in the complex plane based on how many iterations it takes for the formula to "escape" to infinity. If the point stays bounded under the iteration, we color it black. The resulting image is a stunning and intricate pattern of spirals, branches, and self-similar shapes. One of the fascinating properties of the Mandelbrot Set is its infinite complexity. No matter how much you zoom into the set, you will always find new and intricate details that were not visible before. The Mandelbrot Set is also connected, meaning that every point in the set is connected to every other point.

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