I open a new topic for this, but I think this theme is related to coupled systems (
http://www.fractalforums.com/mandelbrot-and-julia-set/coupled-mandelbrot-sets-%28cms%29/), because of the similarity of patterns.
The idea is: add random noise to every variables after each iteration. You have to use the
same series of random numbers for each pixel to get a coherent image.
{randomize;} {NOT USED, because of repeatebility!}
for i:=0 to 10000000 do
for j:=1 to 4 do
rnd[i,j]:=Amplitude*(random-0.5)*2; {random is in 0..1}
Iterations:
... {the iterated functions}
x:=x+rnd[iterationNumber,1];
y:=y+rnd[iterationNumber,2];
x2:=x2+rnd[iterationNumber,3]; { in the case of coupled systems }
y2:=y2+rnd[iterationNumber,4]; { in the case of coupled systems }
(not coupled, just one single set):
Img #1: the neck (top) of period-3 bulb: random wormholes (Ampl=1E-3)
Img #2: a zoom of Img #1: empty patterns. Only the size of patterns is fractal-like, but the figures are filled with a single color, not with patterns (as we saw at coupled systems) (Ampl=1E-3)
January 21, 2009, 12:11:00 AM
Dilber MC Theme by HarzeM