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Duncan | all galleries >> Fractal Images >> Mandelbrot/Julia morphology study >> Dancing Fractal Sheep plots > Dancing fractal sheep julia (centered)
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Dancing fractal sheep julia (centered)

This is a zoom on part of a Julia set from near the center of the previous image "Dancing Fractal Sheep".

The zoom is on the origin (0,0) of the Julia set.

This plot is at a width of 4e-5, which is about 4e5 times larger than the zoom level of the source Mandelbrot plot. Most zooms into the center point of a Julia set show the structure of the source Mandelbrot plot at lower magnification than the zoom level of the source Mandelbrot plot, but the difference in zoom levels varies depending on what part of the Mandelbrot set is being viewed, and at what magnification.

I've found that the more I zoom into a Mandelbrot plot, the larger the difference in zoom levels between Mandelbrot and Julia sets before the morphology of the two plots is similar.

To recreate this plot, click here: Fractalworks plot Dancing fractal sheep julia


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