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