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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: It was another busy day here at Fractal Central, both with work and with the task of getting the new Fractal Central ready for occupancy. Between rushes however I managed to find time for a brief fractal search. I named the fractal image "The Shells of Time" for poetic reasons and also because some of the features remind me of sea shells. The rating of an above-average 6 indicates that though the image is above average, it is not nearly as excellent as yesterday's 8-rated effort. The formula that led the way features a combination of a little Z^(-30) with 100 times as much Z^(-0.3). Yes, I tapped out the parameters at random, as I do with most of my FOTD's. A good feature of the MandelbrotMix4 formula is that nearly every random combination of parameters produces a fractal with something of interest. Even the inevitable blank blue or black screens can be changed into something by a simple adjustment of the real(p3) parameter. With a render time of almost 3/4 hour, the parameter file tries one's patience. Since I am temporarily not posting to ABPF, the way to avoid impatience is to give Paul and Scott a chance to render the image, and then download it from Paul's site at: The fractal weather today was sunny and mild, with a temperature of 54F (12C), but the brisk winds spooked the cats, and chased them indoors after only a brief romp in the yard. Since much colder weather and a heavy snowfall is forecast for tomorrow, they might not get outdoors for several days. That's it for this evening, fractal fans. It's time to shutter up the old fractal shoppe and call it a night. But I'll return in 22 hours with another fractal, the appearance of which is as much a mystery to me at this time as it is to you. Until then, take care, and beware of fractal uncertainty. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
The_Shells_of_Time { ; time=0:42:35.06 -- SF5 on a p200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.16000874215940440/-0.00368284604957569\
/810833.5/1/74.999 params=0.03/-30/30/-0.3/-0.6/900
float=y maxiter=2100 inside=0
outside=tdis periodicity=10
colors=000RUiWRk`OlbJldMmeNnfOogPqhQqiRrkTslUtmVumWu\
nYvoZxq_yr`zsaztbzudzvezxfzvezxgzyizylzznzzozzrzztzz\
vyzxxzzxzzvzzuzzuzzsxuquqnrllngilbghZefUbbP`_KZYGWUB\
Ua4WR6TH7Q6AN0CI0BK0AM0AN09P07Q07R06U05V05W04Z03_03`\
02b00d00e00g00h00i00l00m00n00l25k39h4Dg5Ie6Md7Qa9U`A\
Z_BbYCfWDkUFoTGsQHxPHzOIzMIyKIxJIvIIuHJuGJtFJsDJrCJq\
BKqAKo9Kn7Km6Kl5Kl4Jm3Im3Hn3Gn3Fn3Do3Co3Bq2Aq29q27r2\
6r25r24s23s02t00t00t00u00u00x00u00t20s30r40o50n60m70\
l72k92hA3gB3fC4eD5dF5aG6`G6_H7ZI9YJ9VKAUMATNBROARKBQ\
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mqrgmnbhiYefT`bNY_IUWHQRHOOHKKGIHGFDGCAF96F63F30F00C\
D2AI67MC5RH3VM3YJ3_G4aD4cB4e74f55h35i05k05l07m09n0Ao\
0Cq0Dr0Fs0Ht0Iu0Ju0Mv0Nx0Oy0Qz0Rz0Tz0Vz0Wz0Yz00Yi2Vk\
3Ul4Tl5Rm6Qn7Pn9OoANoBMqCKrDJrGHsHGsIFtJDuKCuMBvNAvO\
9xP7yQ6yR5zT4zQ5tO6oM7kJ9fI9aGAWDBRBCN9DI7DDAPG
}
frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}
END 20.0 PAR-FORMULA FILE==================================
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times.
