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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 12:59:17 -0700
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On 8/31/2024 12:08 PM, casagiannoni@optimum.net wrote:
> On Sat, 31 Aug 2024 11:52:29 -0700, "Chris M. Thomasson"
> <chris.m.thomasson.1@gmail.com> wrote:
> 
>> 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?
> 
> Agree !
> 
> ... but not sure how.
> 
> Why don't you Email something.

I already showed you some of them. Remember?