Imploded cauliflower  level curves of BD/JImploded cauliflower BD/JImploded cauliflower DEM/J
Imploded cauliflower BD/J
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Filesize: 94.2kB
Height: 600 Width: 600
Posted by: Adam Majewski November 17, 2020, 08:35:05 PM

Rating: ***** by 2 members.
Total Likes: 2

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v
Fractal Phenom
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November 18, 2020, 10:12:54 PM
nice, what is this colouring called?
Adam Majewski
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November 19, 2020, 03:28:05 PM
I'm glad you like it.
Binary Decomposition ( of target set for escape time)  
https://en.wikibooks.org/wiki/Fractals/Iterations_in_the_complex_plane/Julia_set#Binary_decomposition

also boundaries of BD is used by Claude :
https://commons.wikimedia.org/wiki/File:Mandelbrot_set_-_wake_1_over_31_with_external_rays.png
Adam Majewski
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November 19, 2020, 03:32:55 PM
Here is the most important part or code ( c) :
Code: [Select]

unsigned char ComputeColorOfBD(complex double z){

 int nMax = iterMax_LSM;
  double cabsz;
  unsigned char iColor;

  int n;

  for (n=0; n < nMax; n++){ //forward iteration
cabsz = cabs(z);
    if (cabsz > ER_LSM) break; // esacping
    //if (cabsz< PixelWidth) break; // fails into finite attractor = interior but not for disconnected Julia sets, then critical point and its preimages  !!!!
 
   
      z = z*z +c ; /* forward iteration : complex quadratic polynomial */
  }
 
  if (cimag(z)>0.0)
  iColor = 255;
  else iColor = 0;
 
  return iColor;
}


Here is full code ( on that page, below the image ) :
https://commons.wikimedia.org/wiki/File:Imploded_cauliflower_DLD.png

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