Julia Set Found Within Corrupted Mandelbrot Set

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Offline Byte11

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« on: July 28, 2018, 09:52:59 PM »
I was trying to implement multithreading within my program, but I was getting tons of corruption in the output. There were tons of streaks and like across the mandelbrot set, and some of the images were just solid color. However, one interesting output was that it outputted the outline of a Julia set in the corruptions. The image is attached below. I have no way of replicating this, and to be clear, my program has absolutely no feature for calculating julia sets, or anything besides the Mandelbrot set.

I recently discovered the cause of the corruption. When using managed c++ to bridge between C# and C++, if you create multiple  object of the C++ code inside C# and multithread them, it creates random corruptions inside the memory. There's no pattern or anything like that, it's just a flaw with managed c++ and connecting it to C#. Somehow this flaw created the Julia set from the Mandelbrot set. 

What do all of you think of this?

Linkback: https://fractalforums.org/fractal-mathematics-and-new-theories/28/julia-set-found-within-corrupted-mandelbrot-set/1653/
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Offline pauldelbrot

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« Reply #1 on: July 28, 2018, 10:41:07 PM »
This sort of shape can happen if z doesn't start at 0. Other things disturbing the orbit might do it too.

P.S. Did your Kerbals survive that mission? :)

Offline FractalDave

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« Reply #2 on: August 05, 2018, 10:50:58 AM »
You can find "Julias" all around in the standard Mandy, parameters for UF:
Code: [Select]
z2julias {
fractal:
  title="z2julias" width=1272 height=954 layers=1
  credits="David Makin;8/5/2018;Dave Makin;3/3/2017;D J Makin;12/20/20\
  11;Dave Makin;10/5/2011;David Makin;6/15/2008;Frederik Slijkerman;7/\
  23/2002"
layer:
  caption="Background" opacity=100 method=multipass
mapping:
  center=-0.249735640198512972625/0.75932684057701613066
  magn=8.403117E10 angle=-21.5108
formula:
  maxiter=550 percheck=off filename="Standard.ufm" entry="Mandelbrot"
  p_start=0/0 p_power=2/0 p_bailout=128
inside:
  transfer=none
outside:
  transfer=log solid=4294967295 filename="Standard.ucl" entry="Smooth"
  p_power=2/0 p_bailout=128.0
gradient:
  smooth=no rotation=1 index=25 color=16777215 index=219 color=6579300
  index=254 color=6555392 index=257 color=43775 index=343 color=512
opacity:
  smooth=no index=0 opacity=255
}
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