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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: As the extended fractional value of the real p1 and p2 parameters of today's image shows, the coefficients were found by Fractint's evolver feature, the robot fractal explorer that can go intrepidly where men would dare not venture. The exponents however were chosen by the man, who had no time to dare to venture intrepidly. The image itself is another of those ghostly ones created by finding an interesting scene in a fractal which contains negative exponents, then raising the bailout until every point is trapped and the image consists of nothing but the infinite fractal ocean. At this point, if an inside fill such as bof60 is applied, a reflection of the original image almost magically reappears, sometimes looking even better than the original itself. I named the image "Sub-Marine Scene", though it has little resemblance to the underwater world. I rated it at a 6, which might be a bit optimistic considering the hasty and somewhat muddy coloring. The render time of 12 minutes (on my tired machine) can be avoided by downloading the completed image from: With a warm sun, the temperature reached 37F 3C here at Fractal Central on Monday, but the winds were over 40mph 64kph, which made the intrepid duo quite skittish, and cut their outdoor time to a few minutes. They must be getting used to being house-bound, because they were actually quite happy with themselves through the long afternoon. At dinner time I rewarded their patience with a treat of tuna. But today is much colder, and light snow is falling. Their patience will be tried far more severely. Looking at the clock on the wall over my desk, I see that it is time to get busy on the unexpectedly tall pile of tasks on the shelf beside me. Until next time, take care, and be sure to try the fractal diet. Eat only fractals for a month and watch those pounds and ounces (kilograms and grams) vanish like magic. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Sub-Marine_Scene { ; time=0:12:16.60--SF5 on a p200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+2.27593538850584600/+0.293765268933583\
40/3.698853e+008/1/57.5/-8.49740486379493842e-005
params=-11.49790215765862/-1.3/-10.61464473403119/\
-9.4/0/1e+100 float=y maxiter=1200 inside=bof61
symmetry=none periodicity=10
colors=000zlJzmJznKzoKzpKzqLzrMzsOztQzuSzvUNBWQCZR\
C`SCbAcaAc`9b_8bZ8bY7bX6aW6aV5aU5aT6bV6bX7cY0007da\
8db8ed9ef9fg9fiUYVSXXQVZOU`MTcKReIQgGPiENlCMnALp5G\
q9KrDOrGSrKWrNZrRbrVfrYjranr`wsdqrhlqkgqoapsXoxQpv\
SotUnrWmqYlo_km`jkbijdhhfgfhfeiedjdckcclcbmbambana\
`oa_p`_p`Zq_Zr_YsZXtYXtYWuXVvX000UwWTxVTyVSzUSzUUw\
WWuXYsY_pZan_cl`ejaggbieckcdmaeoZfqXgsVhvRguTitVjs\
XkrZmq`nt`pqaoq`pp_qpZroYsoXtnWumUvuWDrYGo_JlbNidQ\
ffUbiX_k_XmcUpfRrjOtmKwqKwpKwpLwnMwmNwkOwiOwhPwfQw\
eRwcSwaTw`TwZUwY000WwUXwTYwRYwQZwO_wM`wLawJbwHdrHg\
lGjgFmaEpXDsRCvLBrSEqTGpUIoVKnWMmXOlYQkZSj_Ui`Wgxz\
fzzevzduzctzbszarz`qy_pxZowYnvWmuYjqYioXhmXgkWfjWe\
hWdfVcdVbbU`aU__TZYTXWTVUSTTSRRRPPRNNQKLQLLROMRPMS\
SNSTPRWRQYTP`VObXNdZMf`LibKkdJnfIpiOndTobYo`bpZgpX\
lqVrrTsmQthNufNvdNwbNx`NyZMzXMzYMzZMz_Mz`LzaLzbLzc\
LzdLzeKzfKzgKzhKziKzjJzkJ }
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.
