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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The fractal weather today was rainy with occasional thunder. In honor of the damp occasion I produced a fractal that comes complete with dark billowing storm clouds and streaks of lightning. It should come as no surprise that in the midst of the turmoil lies the everpresent midget. The iterated formula that created today's stormy fractal is a close relative of the "Eutectic" formula of a week or so ago, though today I changed the second exponent of Z from -11 to -15 and changed the multiplication factor to -0.95. Though today's image was calculated by the MandelbrotMix4 formula, there may soon be a MandelbrotMix3 formula, which will take advantage of the additional parameter entries in the latest patch of Fractint. Yes, I realize that the sensible name for the next formula would be MandelbrotMix5, but I have never been one to do sensible things. With a running time of only a bit over one minute, the parameter file will recreate the image as fast as the GIF file can be downloaded from: The fractal weather today was cloudy with moderate rain all afternoon, accompanied by thunder at times. The temperature of 75F (24C)was fair enough, but fractal cats don't like getting their paws wet, so they stayed indoors all day. The philosophy is coming, though it's not yet finished. Tomorrow may be the big day, so check then to see. Until next time, take care, and just because I say something doesn't make it true. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Storm_Clouds { ; time=0:01:37.60 -- SF5 on a P200
; Version 2000 Patchlevel 13
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.03468569020349364/+2.160487799666177/1\
.060033e+008/1/-24.999 params=-11/-1.1/-1/-15/-1.95/0
float=y maxiter=300 inside=0 logmap=22 periodicity=10
colors=000007007<3>00D00E00F<2>40J60K72M83NA4O74O67N\
68N6BN4DN4EM4HM4IM3JM3MM3NK2OK2RK2SK2UKFNJ<2>o7JrBI\
<3>wNIyQIzUIzXHzZHzbHzeHzgH<2>zqHzrFzsEzsDzuBzuAzv8z\
v8zw7yw6wy4vy3uz2sz2rz0<3>mz0kz0gz7cyI_vSXucSrnOoyKn\
zHrvDuj8wZ4zN2zB4z87z78z6By3Ey2Fw0Iw0Kv0Mv0Ns0Or0Qq0\
Rn2Um3Vj4Xi6Yj8ZkA_lBbmDcnFeoHfpIiqKgrJBscFtaIu_KvZN\
wYQxVSyUXzSZzRazOczNfzMIzu<3>Yz_azVezQszBrzDrzDqzEqz\
EozFozFnzHnzHmzHmzIkzI<3>izK0ze<2>0za<3>DzXHzVJzVMzU\
QzSSzRVzQYzOazNczMfzK2zz7zwDzrHzmMzgRzcVzZ_zUezOez_\
<3>fzYfzXfzXfzVfzVgzUgzUgzS<3>gzQgzQizO<3>izMizMizKB\
zXEzVFzVHzUIzUKzSMzSNzSOzRRzRSzQUzQVzOYzOZzO<2>czMez\
MfzKgzK0z00z00z02z03z06z07z0Az2Bz3Ez3Fz4Iz6Jz7Kz7Nz8\
OzARzBSzDVzDXzEZzF_zHbzHczIfzJgzKvzeuzcuzbszbszarz_\
<2>qzYqzYozXozVozVnzUnzSmzSmzR
}
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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