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Duncan | profile | all galleries >> Fractal Images >> Mandelbrot/Julia morphology study >> Elephant valley plots tree view | thumbnails | slideshow

Elephant valley plots

This is a sequence of plots from the "elephant valley" (in the cusp of the cardioid) on the largest baby Mandelbrot on the real axis.

I show a series of plots at different scales that show different characteristic shapes, or morphologies. I show first the Mandelbrot plot, and then zooms of one or more Julia plots taken from that source Mandelbrot plot that have the same morphology as the source Mandelbrot plot. You can usually see the structure of the source Mandelbrot plot both in a zoom into the center of the Julia plot and in a zoom on the "c" point of the Julia plot (where you zoom in centered on the coordinates of the source "c" point for the Julia plot.)

However, zooms into the origin of a Julia set plot tend to suffer from floating point rounding errors at fairly low magnification.
1 Elephant with tendrils
1 Elephant with tendrils
2 spot on tendril
2 spot on tendril
2 Julia spot on tendril (C point)
2 Julia spot on tendril (C point)
2 Julia spot on tendril (center)
2 Julia spot on tendril (center)
3 tendril baby mandel
3 tendril baby mandel
3 tendril baby mandel seahorse valley julia (centered)
3 tendril baby mandel seahorse valley julia (centered)
3 tendril baby mandel seahorse valley julia
3 tendril baby mandel seahorse valley julia
4 tendril baby mandel dragon
4 tendril baby mandel dragon
4 tendril baby mandel dragon Juila (C)
4 tendril baby mandel dragon Juila (C)
5 tendril baby mandel dragon detail
5 tendril baby mandel dragon detail
5 baby mandel dragon julia detail
5 baby mandel dragon julia detail