Sujet : Re: Julia and Mandelbrot
De : chris.m.thomasson.1 (at) *nospam* gmail.com (Chris M. Thomasson)
Groupes : sci.mathDate : 31. Aug 2024, 19:52:29
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vavopd$144lo$1@dont-email.me>
References : 1
User-Agent : Mozilla Thunderbird
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?