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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's FOTD pictures a midget that has never before been seen by any sentient being, living or dead. Before I revealed the midget, it existed only as one of an infinity of abstractions that could be changed, as some sentient being chose to do so, into a form perceivable by that being's senses. Since I am a visually oriented human being, I chose to change the abstraction into a visual image which could be perceived by the human visual apparatus. I named the image "New Fractal Stuff". I realize that every fractal image of any depth shows some new fractal stuff, but the name, though it is not the most classy of all time, is at least an accurate description. The rating of 6, which states that I consider the image only a little above average, is reasonably justified. The iterated expression that drew the image is a simple Z^(2.13)+C, made more interesting by rendering a more remote part of the infinite logarithmic spiral with the aid of the MandelbrotBC1 formula. With its render time of over 55 minutes on my tired old fractal machine, the parameter file is an unusually slow one. I recommend giving Paul and Scott a chance to render and post the GIF image, then picking up the finished image from their web sites at: The fractal weather today was reasonably normal for this time of year in this part of the world, with hazy sunshine and a temperature of 86F 30C. The fractal cats must have approved, because they went about their daily activities undisturbed. Doing the same is my next task. Until next time, when philosophy could appear, take care, and isn't it curious that with a near infinity of time at its disposal, the universe just happens to be in the brief period when we all exist? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
New_Fractal_Stuff { ; time=0:55:18.00--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=1
center-mag=+0.03939721014235058/-0.285207869930379\
30/1.094895e+010/1/-99.999 params=2.13/0/11.7/0
float=y maxiter=60000 inside=0 logmap=1223
colors=000LhsQhtVjt_mudpuisvnuvlvtksrjpqinogknfhle\
ekdcib`haYf`We_TcZQaXN`WLZVIYUFWSCVRATQ7SP4QO2PP3R\
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zfqzgqzhqziqzjrzirzirzhszhszgszgszgtzftzftzeuzeuzd\
uzduzdszerzfqzgpzgozhnzimzilzjjzkizkhzlgzmfzmezndz\
oczoezkfzh6zn1zq6zrBzrGzs
}
frm:MandelbrotBC1 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)-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 20.0 PAR-FORMULA FILE==================================
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