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Julia and Mandelbrot

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https://news.novabbs.org/tech/article-flat.php?id=157155&group=sci.math#157155

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From: casagiannoni@optimum.net
Newsgroups: sci.math
Subject: Julia and Mandelbrot
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by: casagiannoni@optimum.net - Fri, 22 Mar 2024 17:45 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 .

Neil Armstrong tripped.

tech / sci.math / Julia and Mandelbrot

Subject	Author
Julia and Mandelbrot	casagiannoni