Julia plots are Beautiful and Interesting.
See :
https://postimg.cc/gallery/QHcFVXN
Plotted on the complex plane, each Julia is specific to a complex C.
If for any complex Z, the magnitude of { Z = [ ( Z + C ) squared ]
iterated n times } does not exceed 2 , then Z is a point in the Julia
for C at n iterations.
If a Julia contains the origin and is connected, then C is part of the Mandelbrot set.
See :
https://postimg.cc/gallery/YqLphGg
The Mandelbrot appears to be a well defined figure with apparent
borders or boundaries MBT-1 . Yet when one zooms in on a border or
boundary, there is an ongoing riot of complexity on all scales, MBT-1,
-2, -3, -4 . Very interesting.
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