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Mandelbrot Set Image 01 by Aokoroko
 

 

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Source page:

http://commons.wikimedia.org/wiki/File:Mandelbrot_Set_Image_01_by_Aokoroko.jpg

Summaryedit

Description
Русский: Участок множества Мандельброта. Координаты центра: -0.5626783725, 0.6567946173, ширина 0.000000075
English: The piece of Mandelbrot set. Coordinates: -0.5626783725, 0.6567946173, width 0.000000075
Date
Source Own work
Author Aokoroko

Source codeedit

Practically I use the application written by me in FASM language because of the speed advantages. But for your better understanding I have rewrote it in Pascal language. This code can be compiled with Delphi or with Free Pascal. The application produces the image of any reasonable given width and height.

P.S. I apologize for so many values in q:array[0..255]of byte but they are necessary for my palette design.

{$APPTYPE CONSOLE}
{$N+}
{Author: https://commons.wikimedia.org/wiki/User:Aokoroko}

const
absc=-0.5626783725; ordi=0.6567946173; size=0.000000075;
q:array[0..255]of byte=(20,19,15,27,203,206,97,156,111,189,126,87,209,209,36,23,
17,15,49,172,58,146,65,93,214,80,80,168,177,231,81,122,75,196,189,141,185,105,
138,152,225,171,28,120,103,29,13,140,172,20,235,214,174,237,70,179,188,127,169,
40,58,242,93,32,252,78,13,26,221,141,178,25,171,4,79,231,137,83,113,230,88,90,
124,18,217,194,46,236,126,32,228,103,53,206,150,28,159,237,138,83,114,58,47,176,
254,161,177,138,24,191,38,59,225,182,112,250,39,10,47,2,96,101,93,21,116,129,
117,172,209,145,64,95,149,223,155,65,178,142,224,92,93,159,199,116,52,178,214,
192,230,47,198,68,75,179,0,8,220,51,69,171,81,41,95,108,20,121,18,215,15,75,234,
94,198,83,178,216,183,78,41,84,119,63,211,71,123,38,223,73,197,249,126,227,211,
5,36,36,128,5,151,2,198,166,197,181,142,52,174,151,244,164,255,62,173,75,21,197,
126,225,130,146,244,175,86,1,180,253,198,191,50,36,233,200,150,221,176,73,23,
161,71,224,41,69,139,245,44,40,68,45,147,127,73,39,156,189,191,255);

var
f:file;
horiz,vert,a,b,t,i,j,l:longint;
c,d,cc,dd,m,n,mm,nn,step,absc2,ordi2:extended;
s:array[0..30000]of array[0..2]of byte;
z:array[0..2]of longint;
pal:array[0..255]of array[0..2]of byte;
h:array[0..13]of longint=($4D42,0,0,54,40,0,0,$180001,0,0,2834,2834,0,0);


begin
  write('Width: '); readln(horiz); write('Height: '); readln(vert);
  h[5]:=horiz; h[6]:=vert;
  a:=horiz*3; if (a and 3<>0) then a:=(a+4) and $FFFFFFFC; h[9]:=a*vert; h[1]:=h[9]+54;
  assign(f,'Mandelbrot01.bmp'); rewrite(f,1);
  blockwrite(f,h,2); blockwrite(f,h[1],52);
  for a:=0 to 254 do
  begin
    pal[a][0]:=round(127+127*cos(2*pi*(a+101)/255)); pal[a][2]:=round(127+127*sin(2*pi*(a+101)/255)); pal[a][1]:=q[a]
  end;
  for a:=0 to 2 do pal[255][a]:=255;
  step:=size/(horiz shl 3);
  absc2:=absc-step*(horiz shl 3-1)/2; ordi2:=ordi-step*(vert shl 3-1)/2;
  for b:=0 to vert-1 do
  begin
    nn:=b shl 3;
    for a:=0 to horiz-1 do
    begin
      mm:=a shl 3;
      for l:=0 to 2 do z[l]:=0;
      for j:=0 to 7 do
      begin
        n:=ordi2+(nn+j)*step;
        for i:=0 to 7 do
        begin
          m:=absc2+(mm+i)*step;
          c:=m; d:=n; t:=4081;
          repeat cc:=c*c; dd:=d*d; d:=(c+c)*d+n; c:=cc-dd+m; dec(t) until (t=0) or (cc+dd>1000000.0);
          if (t=0) then t:=255 else t:=t mod 255;
          for l:=0 to 2 do z[l]:=z[l]+pal[t][l]
        end
      end;
      for l:=0 to 2 do s[a][l]:=z[l] shr 6
    end;
    blockwrite(f,s,h[9] div vert);
    write('Done: ',b+1,chr(13))
  end;
  close(f)
end.

Licensingedit

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
  • share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.

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Quality image

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Photo's description:

Участок множества Мандельброта. Координаты центра: -0.5626783725, 0.6567946173, ширина 0.000000075 The piece of Mandelbrot set. Coordinates: -0.5626783725, 0.6567946173, width 0.000000075


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EXIF data:
File name mandelbrot_set_image_01_by_aokoroko.jpg
Size, Mbytes 22.172813476562
Mime type image/jpeg
Orientation of image 1
Image resolution in width direction 72.009
Image resolution in height direction 72.009
Unit of X and Y resolution 2
Color space information 65535
Exif image width 3840
Exif image length 3840
Software used Adobe Photoshop CS3 Windows




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