Mandelbrot Set

The Mandelbrot set is the most famous fractal in the world.  It’s created with a very simple equation: z = z^2 + c.  From simplicity comes infinite complexity.  No matter how much you explore and zoom, you will never find perfect repetition or regularity.  Here are a couple of interesting images I captured from the Mandelbrot Set.

This image looks like it's the full Mandelbrot set because it has the very iconic image in the center.  Nevertheless, this has actually been zoomed in about 10 times on the edge of the original set.  Talk about self-similarity!  Also notice the great-great-great-great-grandbaby Mandelbrot under the large great-great-great-grandbaby.

Mean Green: This image looks like it’s the full Mandelbrot set because it has the very iconic image in the center. Nevertheless, this has actually been zoomed in about 10 times on the edge of the original set. Talk about self-similarity! Also notice the great-great-great-great-grandbaby Mandelbrot under the much larger great-great-great-grandbaby.

Mandelbranches:  This is at the edge between two mini-Mandelbrots.  The branches coming off of the edge of each begin to overlap here.

Mandelbranhes: This is at the edge between two mini-Mandelbrots. The branches coming off of the edge of each begin to overlap here.

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1 Response so far »

  1. 1

    ilynene said,

    I like Mandel brot picture two.I like the way the pattern goes and how it is set up.


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