Weathered Steel Weave
This fractal was designed by Ross Hilbert and is named “Weathered Steel Weave.” You can find many other beautiful pictures in his fractal gallery.
The fractal is based on iterations of the following fractal formula znew = cos(c zold), where the Julia Constant c is equal to −0.364444444444444+0.995555555555556i. To produce the image, you need to start with a complex value of z and iterate it many times using the formula above. The color is chosen based on how close the iteration results are to the border of the unit circle.
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