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tech / sci.math / Julia Plots & the Mandelbrot Set ! ( 4 )

Julia Plots & the Mandelbrot Set ! ( 4 )

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From: casagian...@optimum.net
Newsgroups: sci.math
Subject: Julia Plots & the Mandelbrot Set ! ( 4 )
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by: casagian...@optimum.net - Tue, 2 Nov 2021 20:18 UTC

Julia plots are Beautiful and Interesting. See :
https://postimg.cc/gallery/QHcFVXN

Plotted on the complex plane, each Julia plot is specific to a complex
C. If for any 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.

Free Windows software available. See : https://postimg.cc/PLgcv0SY

Post or E-mail casagiannoni@optimum.net or 631 757 2793 ( calls
screened, leave message ) .

Subject	Author
Julia Plots & the Mandelbrot Set ! ( 4 )	casagiannoni