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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: It's the second day of November -- the second day after Halloween (all Hallow's eve) -- the first day after All-Saints' day -- the day known in the church calendar as All-Souls' day. But the name of the day is a misnomer, for the day honors only the souls who have lost their bodies and gone to heaven, while nearly half the souls who have ever existed still have their bodies. We need a third day, perhaps called All-Incarnated-Souls' day. After all, souls with bodies are far more evident than souls without bodies, and should have at least equal honors. Getting to the proper topic, the fractal for today features a prominent Mandelbrot midget surrounded by concentric rings decorated with eye-like nodes. The effect of staring eyes inspired the not-too-poetic name "Rings of Eyes". The scene of today's image is located on a chain of rings lying inside a larger ring in the northeast part of the parent fractal, which is a multi-lobed affair with scattered debris and many filaments that end in o-rings. An impression of yellow fills the image, though little pure yellow can be found. The impression of yellow is caused by the presence of strong adjoining reds and greens, which when mixed additively, produce yellow. Undecided on how to rate the image, I settled on a generic rating of 6, which is a bit above average. I like to believe that every FOTD image is above average, but at the same time I know that if the rating is honest, only half of the FOTD images will be above average. To make up for the mediocre quality of the image, the parameter file is very fast, running in 2 minutes or less. The rendered image is also available on the W.W.Web at: The fractal weather today, with warm sun, light winds and a temperature of 72F 22C, was quite pleasant, and the cats enjoyed every minute of it. They spent half the morning and the entire afternoon in the great outdoors, doing what cats do best -- sleeping. As for myself -- I'm going to spend the next 6 hours or so doing things that need to be done. And when I finish the necessary things, I'll turn to the almost-necessary fun task of finding the next fractal. Until next time, take care, and we'll never find the last fractal. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Rings_of_Eyes { ; time-0:01:59.35--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+3.02679230177303500/+1.548410426318964\
00/9.55623e+009/1/142.499289389010016/0.0012044708\
9570314969 params=2/-1.5/0.2/-15/0/300 float=y
maxiter=400 inside=0 logmap=26 periodicity=10
colors=000AIKAKKAMKAOKAQKASIBUACW2FY3Hd3Kk3Mr3Yd8i\
RDuEImBJe8KY6LQ3MJ1NI6RHAUGEYFI`EMdDQgekHilJmlLqmM\
umOymPsnRmnTgoVboWXoYRp_LpaGobGmOEmHDmACn3Ek8GiCIf\
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hmlimhjmdlm`pmRXmSEmSHmUJmWMmYOm_Qm`OmdNmgLmkKmnIm\
rHmuMmnRmgWm`_mUdmNimGnm9rm2mmAimHemOamVYmaUnhQooU\
pbYqQarEWsNQtWKudBvO2w88xCEyGKzKQzOWzSazWgz_mzcvzy\
sztqzpozkmzgkzbizZgzVlzymzpnzhoz_pzSqzJrzBbzANzALz\
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DAz7FzCJzHNzMSzRWzW_z`czeKzVOzTRzSUzRYzP`zOczNazL_\
zJYzHWzFUzDSzBQzARzCSzESzGTzITzKUzMUzNYzOazQoz4mz3\
kz2iz1jzCkzNlzYmzhnzsozlpzeqz_rzTszNozQkzTgzWczYZz\
VUzTPzQLzOGzLBzJ6zG2zEAzs
}
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.
