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tech / sci.math / Re: Julia and Mandelbrot

Julia and Mandelbrot

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https://www.novabbs.com/tech/article-flat.php?id=155415&group=sci.math#155415

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From: casagian...@optimum.net
Newsgroups: sci.math
Subject: Julia and Mandelbrot
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by: casagian...@optimum.net - Wed, 28 Feb 2024 23:16 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.

Re: Julia and Mandelbrot

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https://www.novabbs.com/tech/article-flat.php?id=155416&group=sci.math#155416

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From: laf...@uukdau.ca (Bud Fudlacker)
Newsgroups: sci.math
Subject: Julia and Mandelbrot
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by: Bud Fudlacker - Thu, 29 Feb 2024 00:50 UTC

casagiannoni wrote:

> 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 .

Subject	Author
Julia and Mandelbrot	casagiannoni
Re: Julia and Mandelbrot	Bud Fudlacker