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December 30, 2010: Fractal Uncertainty Dec. 29 Dec. 31 2010 FOTD Home
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uncertainty

Fractal visionaries and enthusiasts:

Today's image has a strange look about it.  In fact, the strange look is all the image has going for it.  The grainy effect is due to the magnitude of the image being beyond the limit of mathematical precision.  The name "Fractal Uncertainty" expresses this imprecision.

The parent fractal was created when I calculated the formula Z^(1.75)+C eleven turns up the complex logarithmic hyperspiral with no function applied.  The image could be a troublesome one, since there is no guarantee that the accuracy will fail in exactly the same way on all machines.

Since I'm not sure what will result when the parameter file is run on different machines, I could give the image only a rating of a question mark.  To be sure of seeing the correct image, I suggest viewing it on the currently active FOTD web site at:

http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html

The traditional FOTD web site may still be accessed at:

http://www.Nahee.com/FOTD/

but it is not yet up to date.

The temperature reached 40F 4.5C here at Fractal Central on Wednesday, which was the warmest in almost a month.  The fractal cats leaped to their window shelf as soon as the sun reached it, and stayed until the sun moved on several hours later.

The humans' day was about average -- dull but peaceful.  The next FOTD will be posted in 24 hours.  Until then, take care, and maybe we're all merely Boltzmann brains.

Jim Muth
jamth@mindspring.com


START PARAMETER FILE=======================================

FractalUncertainty { ; time=0:05:24.72-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=-1.7800606505427/-0.1605412639414543/\
  1.082816e+013/1/-17.4/0 params=1.75/0/11/0 float=y
  maxiter=1500 inside=0 mathtolerance=0.05/1
  colors=000OESKBNG9JC7E84942zfUbLFJ2_j1Ub1OV1IN0CF0\
  67ELVAFN7AF3570IK0EG0AC078034zQz9cXU005DU00I000qtD\
  zz6kZqaSfSLWJEL97ASl8IW59G2Ei1Cc0AY08S07N05H03B015\
  0OUMzKE8A7c`nQOYHGREFVCE_9Dc6Ch4Bl8JjBQiFXhIcgJ271\
  jV9lPGnKNoFVqAas5ht0jm6lfCn`IoUNqNTsHZuAdv4ikNWadI\
  Sv5KJ9JMFJOKIRQITVHW`HYeH_jIbcJeXJhRKkKKnELq7Ls1Ef\
  J7V_0JpFErT9sf4ut0v10g93fG6fN9eVCeaFdhIdoKdqFjsAou\
  5tv0yw4ox8fyCXzFO3A7qCKhAH_8DR6AI46923MbuBJTrsljke\
  bcZVWSNOLFGE787uRZfKQTDHz68lbNzQFzD7zE6zC58z4z835z\
  2z41120cG1K80vMUjHOZDIz8Cz46frTYgNPXHHMB8B5LzxFByB\
  8i75V32FVntPejKYaFPSAHJ5z9qfHhZE_SBRL8IE5972rJdR9K\
  BHQ9EL7BH58D3581243vY2lS2bM1TH1Jz095TarEJRW`3RV2MQ\
  2IL1DF19Az450ezkLVOTv5Nj4HZ3BN25B17w7zc42K2zDHmAD`\
  7AP56z23zQQ0HH088Cp`FZ5BQ37H2381TOtPLlLIeIFZzCSA9L\
  76Ez375CD4AB399378266144133011rUnOpPIbICQC6D6m1TWO\
  fRK_MHUIDODAI96C436WJaSGX }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

END PARAMETER FILE=========================================