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tech / sci.math / Julia and Mandelbrot

SubjectAuthor
o Julia and Mandelbrotcasagiannoni

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Julia and Mandelbrot

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https://www.novabbs.com/tech/article-flat.php?id=155866&group=sci.math#155866

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From: casagian...@optimum.net
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Subject: Julia and Mandelbrot
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 by: casagian...@optimum.net - Sun, 17 Mar 2024 19:06 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.

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