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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: Julia and Mandelbrot
Date: Sat, 31 Aug 2024 11:52:29 -0700
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On 8/31/2024 11:00 AM, casagiannoni@optimum.net 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 .
> 
> 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 .

It would be nice if you gave a little credit for the ones I showed to you?