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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Maybe it's there, but we can't see it. This describes today's image, which resembles the surroundings of a midget. But no midget is visible. The midget does exist of course, way down at the center of the image, unfortunately well beyond resolution. As a result I named the image "Now You See It". We'll let the viewer mentally add the "Now You Don't". The formula 5(Z^(-1.333))+0.5(Z^(-13.33))+(1/C), which is responsible for today's fractal, is another of my whimsical expressions that come from nowhere but make a reasonable fractal. Because I put so little energy into the image, I could rate it at only a 4. The draw time of just under one hour is slow for a fractal that rates only a 4. But relief is at hand in the form of the pre-rendered GIF image, which will soon be available on the internet at: The fractal weather today was once again near perfect, with blue skies, fluffy white clouds, gentle breezes, and a temperature of 86F 30C. Only a few too many clouds and a couple degrees too much heat prevented absolute perfection. The fractal cats had a great day doing nothing but sleep and eat. I am making good progress on the FOTD CD. All the material I have on file is now gathered, and the next task is to determine what is missing, so that I can pick it up from other sources. An even more immediate task is to start and finish the day's work. Until next time, take care, and I've never seen a purple cow. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Now_You_See_It { ; time=0:59:08.35--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.78764328489975400/+0.202262217248385\
80/3.021208e+012/1/-99.995/-0.007
params=5/-1.333/0.5/-13.33/0/800 float=y
maxiter=3000 inside=0 logmap=843
colors=000FOa8If1Cj3Fk5Ik7Kl8NlAPmCSmDUmJRnPOoULp_\
IqdFrjCsoAsEUmKY`PaOckequwkrxepx`mxVkxPhxKfxI_R``f\
raufekViaKmSOaLSQEVF7XKDZPJ`UPbZVdc`fhfhmljrrfnlck\
g`gaYdXU`RRYMOUGLRBIPIGNOELVCJ`9Hf7Fm5Ds3CyCJwKPuT\
Vs``qifoqlmyrlltc_vWNxNAyFBsCCm9Dg6Ea3G_9IYFKWLMVR\
GQLBMF6IA8HF9GJAFNCERDDVECZuputimtbfsW_sPTrIMrCFcY\
RPsbFfJ5U06Y96`I6dR6gZ6kg6np6qxEpvMptUpraopionpomo\
j`ofPoaDoY1lQBjIKhBTXGVLKXAOZGU`L_bQddVjf_ohVi_QcR\
LYIGT9HOFIKKIGQJCVJ8`K4eK0jM8iOFiQMiSTiU`hWghYnh_u\
hclbfdYiXSlPNjSMiVMhYMg`LfcLeeLcgNbiQakS_mUZoWYqYR\
rPLsHFt99u1_bOzLivJhsIgoGglFfhDfeCebAdZ9dW7cS6cP4b\
M3bMAQMGDJDBGA9D77A45814DCBININXPSgWWqaYoaZna`laak\
abiadhaefafeahcaibajaahZ_fXZdUXbSW`QVZNTXLSVIQTGPS\
EOQLSPSWOZ_NecMlgLskKynRfYYZHdU1QZNScLUhKVmJXoIYqH\
_tG`zEfzpgzrGzqIzoKzmMzkOzjQzhSzfUzdWzcYza_z_azYcz\
XezVgzThzSezTbzU`zVYzWWzX
}
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.
