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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: To create the parent fractal of today's image, I took Z and added to it a very insignificant 0.0001 part of Z^100. When the tiny bit of Z^100 turned out to be not so insignificant, I added 0.03 parts more Z to the mixture on a whim. To complete the mixture, I multiplied the entire thing by 1.1 by setting real(p3) to 0.1. (I could have done the same thing by changing real(p1) to 1.133, real(p2) to 0.00011, while leaving real(p3) at zero.) I then began my exploration. With these parameters, all the action lies beyond the west border of the default screen, but can easily be found with one outzoom. I'll not try to describe what lies there, but it does have a tiny East Valley populated by elephants that remind me of the 'Flattop' character of the Dick Tracy comic strip. Today's scene lies on the southern shore of that valley, in the trunk of one of the flat-topped elephants. There are so many interesting things in today's image that, when I studied it, searching for a name, it reminded me of a congregation of fractal features. I named the image "Congregation" accordingly. The rating of an 8 might be a bit overblown, but, with its plethora of detail, the image is definitely above average. The overall value is held down to a 26 by the 1/2-hour render time, but the image is still worth the time spent. And as always, those who would rather not spend time rendering images may see the completed image on the FOTD web site at: With more sun than expected and a temperature of 48F 9C, Monday turned out to be a better day than had been forecast by the experts. The fractal cats, who don't listen to weather reports, were never concerned, and had a quite pleasant afternoon in the yard. Thomas even worked up enough energy to bat around a few dried-out magnolia leaves. In the evening, the duo retired without asking for tuna. Today is starting cloudy and cold. We'll see what happens with the duo. For me, it appears today will be un-notable. But I'll try to find a fractal worthy of at least some note. My success (or lack thereof) will appear in tomorrow's FOTD. Until then, take care, and don't go along with the non-fractal crowd. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Congregation { ; time=0:30:23.81--SF5 on a P200
reset=2003 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-7.39578216954515400/-0.236832685099223\
50/2.07789e+008/1/97.5001386452413072/-0.000193294\
786338664426 params=1.03/1/0.0001/100/0.1/0 float=y
maxiter=9000 inside=0 logmap=572 periodicity=10
colors=0004M24N23P23Q22R22S21T21U20V20W25Y8A_DFaIK\
cNOeTTgYYibbkgfmlhonipojqqlrrmssntupuvqvxrwysxzqly\
paxoRwnGvmJsmMpmOmmRjlTglWelYbl`_kcXkeUkhSkjPjmMjo\
JjrGjtEZmLOgRCaY1Wc3Xe4Yf5Zg6_i7`j8ak9bmBcnCdoDeqE\
frFgsGhuHivIjwJgsJepJbmJ`jJZgJWdJUaKRYKPVKNSKKPKIM\
KFJKDGKBDJFHJILJMPJPTJTXJW`I_cIbgIfkIioImsIpwIszPn\
vWjrbfnibjpZgodbniYmoTmtPluSkvUkwWjxYiy_izafnVdbOb\
RH`FAUQJN`SGk`AvhGsbMpYSmTYjNcfIicDo`8la7i`6f`6c_5\
`_5Y_4Va4Sc3Re3Ug4Xi4_k4bm4eo4hq5ks5nu5qw5ty5wzNzz\
dzzuzzzzzzzzzzzzwvutrmomeehYWcQWeIWgASi7Ut7Zw7cu8h\
t9msArrBzqCzpDroEmmFclGUkHKjI9iJ8zK8gL7eQ7cV6aZ6_c\
5Yh5Wl4Uq4Tu6Xq7_n8bj9egBhcCk`DnXEqUFtRTbbeLnr4yp9\
snEnlJikOdiS_gXVfaQdfLbkGaoBmm_xkxslwnmvimvdnu_otV\
otQpsLpsKqmJqhIrcHrZGsUFsPEtKDtFCuACu5Gv6Kw7Ox8Sy9\
Vz9ZzAbzBfzCizCmzDqzEuzFxzFuzDszCqzBozAmz9kz8hz7fz\
6dz5bz4`z3Zz2Xz16z25z25z2 }
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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