Fractal Noise

White Noiz!

Click to enlarge

      The ulitmate chaotic fractal-it looks like pure random noise without pattern or structure.But it is not random it is chaotic,sensitive to the slightest variation in initial conditions. In a noisy random system output is unpredictable with the same starting conditions. In chaos output is predictable.Given the exact same starting conditions the output is the same to the previous event. Noise and chaos,superficially the same,fundamentally different. 

       I have included the par and frm information, if you are familiar with Fractint you can try out the fractal yourself.

  

     fract031.gif { ; White noise!

; Now this is chaos.
; calctime 0:44:24.72
; created Apr 17, 2010
; Fractint Version 2004 Patchlevel 9
reset=2004 type=formula formulafile=_num.frm formulaname=9jRoger
function=cotanh/cos center-mag=0.0481928/1.38778e-016/7.304324
params=0.7061983092745751/-0.5189672536393323/-0.7412030396435438/1.4590\
5941953795 float=y maxiter=1500 inside=0 periodicity=0
colors=00000000000000011111111111122222222222233333333333344444444444455\
5555555555666666666666777777777777888888888888999999999999AAAAAAAAAAAABB\
BBBBBBBBBBCCCCCCCCCCCCDDDDDDDDDDDDEEEEEEEEEEEEFFFFFFFFFFFFGGGGGGGGGGGGHH\
HHHHHHHHHHIIIIIIIIIIIIJJJJJJJJJJJJKKKKKKKKKKKKLLLLLLLLLLLLLLLMMMMMMMMMMM\
MNNNNNNNNNNNNOOOOOOOOOOOOPPPPPPPPPPPPQQQQQQQQQQQQRRRRRRRRRRRRSSSSSSSSSSS\
STTTTTTTTTTTTUUUUUUUUUUUUVVVVVVVVVVVVWWWWWWWWWWWWXXXXXXXXXXXXYYYYYYYYYYY\
YZZZZZZZZZZZZ____________````````````aaaaaaaaaaaabbbbbbbbbbbbccccccccccc\
cddddddddddddeeeeeeeeeeeeeeeffffffffffffgggggggggggghhhhhhhhhhhhiiiiiiii\
iiiijjjjjjjjjjjjkkkkkkkkkkkkllllllllllllmmmmmmmmmmmmnnnnnnnnnnnnoooooooo\
ooooppppppppppppqqqqqqqqqqqqrrrrrrrrrrrrssssssssssssttttttttttttuuuuuuuu\
uuuuvvvvvvvvvvvvwwwwwwwwwwwwxxxxxxxxxxxxyyyyyyyyyyyyzzz
}


9jRoger {
z=pixel:
z=(p2*fn2(z)+z)*z/(fn1(z)+p1)*p2,
|z|<=4
;SOURCE: test.frm
}

Find it useful? Keep it!  :o)   -Max Iter