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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: For today's FOTD I went back to the parent fractal that results when 12 parts of Z^(1.02) are subtracted from 12 parts of Z^(0.98) and straight C is added. I have used this fractal as the source of several previous FOTD images. To find today's image I examined the chaos on the northwest shore line of the parent's large central bay. The first thing I found there was a small minibrot. Today's much smaller minibrot is located near the East Valley of this first minibrot. The East Valley location is evident in the shape of the fuzzy greenish area around the central midget. The fragmentary overall appearance, with its sickle-shaped bits and pieces, shows the nature of the parent fractal at this location. I named the image "Sickles Galore" because it is filled with these fractal sickles. I rated it at a 7 to reward myself for the 1/2 hour of extra effort I put into the search as well as the colors. The calculation time of 81 seconds is brief enough to keep everyone happy. Another way to stay happy is to go to the FOTD web site at: Wednesday was a bit too warm and humid for comfort here at Fractal Central. The temperature of 88F 31C, hot sun and high humidity kept things at a lazy pace. The only excitement came when the fractal cats spotted two pigeons scrounging on the front sidewalk. The cats kept the vicious attacking birds at bay. My day was reasonably busy, but I was quite efficient, and the work was wrapped up by early afternoon, leaving ample time to locate and tweak today's image. The next glorious (IMO) FOTD image will appear in 24 hours. Until then, take care, and the answer may be clear, but what is the question? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Sickles_Galore { ; time=0:01:21.02-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=-3.181809015911311/+1.876979770976725/2\
68480.3/1/-85/2.13341735978700431e-007 maxiter=1300
params=12/0.98/-12/1.02/0/1000/0/0 float=y inside=0
logmap=125 periodicity=10
colors=000wxwstrmmmggg`bePZ_ESRIHBLOGPWLScRWkWZr`W\
maTibRecO`dLXdJTeGOfDKgBGmINzOTzUZzWUzYQz_MzaIzcEz\
dAvbCraDm`Eh_FeZGcYHcXIdWJdVKeULeTMfSNfROfMJbIFZEB\
Vm7SzDQzIPzNOzSNzXMzeLzmKzrJzzIzrJzmJmkJcgJUdKJbKI\
`KKZKMWLNULPSLQQLONMKLMKJMKHMKMLKQKKUJQZIPbINfHMkG\
KoFJsEIwEHqFGlFFgFEcGDcGCcGBcHAcH9cHDcIHcJKcKOcLRe\
MVzNYzNXzLWzKWzIVzHVzFUzEUzCTzzTzzSzzSzzUzzW`zX_zZ\
Zz`YzaXHcWJeVLfUMhTOiSPfWQdZQbaR`dRZgRWkSUnSSqTQtT\
OwTHiNAZI4ZDDZLLZSUUZaUfjNmrNtqOpqPlpQhpRdoR`oSXnT\
UnUQmUMmVIlWElXAlX7kZDk`JkbPkdVjf_jhejjkjlqjmvimtg\
nsfnrdoqcooaon`pmZpkYqjWqiVrhTrfSseQsdPscRrdSreTrf\
VrgWrhXriZrj_rk`rlbrmcrndrofrpgrqhrrissississitsit\
sitsiusiusiusiusjvsjvsjvsjwsjwsjwsjxsjysjzsjzskzpl\
znlzkmzinzfnzdozapz_pzXqzVrzSszQtzRuzSvzSwzTxzTyzU\
zzVzzVzzWzzWzzXzzYzzYzzZzzZzz_zz`zz`zzazzazz_zzZzz\
XzzWzzUzzTzzRzzQzzPzzqzzs }
frm:MandAutoCritInZ {; 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)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================
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times.
