YMandelbrot FoamTaffy
Mandelbrot Foam
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Description: This is a parameter-space image of a system of two complex variables:

w -> cw/z
z -> z2 + w2 + d

The image is in the d-plane with fixed values for c, initial z, and initial w. It resembles a foam outlined by Julia set shapes and containing little filled-in-Julia-like nuggets. Many Julia and Mandelbrot shapes can appear in systems like this, jumbled up. There's not, to my knowledge, a way to get a tidy Mandelbrot-like map, and all parameter space slices resemble this, or Mandelbrot images with z starting out away from a critical point, or stranger stuff indeed, such as (I kid you not) banded agate.
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Filesize: 495.03kB
Height: 960 Width: 1280
Posted by: pauldelbrot May 06, 2018, 07:13:54 AM

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