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Julia and Mandelbtot

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https://www.novabbs.com/tech/article-flat.php?id=154114&group=sci.math#154114

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From: casagian...@optimum.net
Newsgroups: sci.math
Subject: Julia and Mandelbtot
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by: casagian...@optimum.net - Mon, 15 Jan 2024 21:49 UTC

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.

Subject	Author
Julia and Mandelbtot	casagiannoni

And on the seventh day, He exited from append mode.

tech / sci.math / Julia and Mandelbtot