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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: There's a lot of fractal in today's classic fractal, so much fractal in fact that I found the image fractally exciting. I named the picture accordingly, and rated it an outstanding 8. Once again I unwrapped the MandelbrotMix4 formula to search for my CFOTD. The exact fractal formula that was iterated to produce the rather spectacular midget is 0.1Z^(-1000)+Z^2+(1/C). The escape radius is 100. As do all fractals, the image has detail beyond limit. But this fractal exceeds even the expected detail. Rarely have I seen such a variety of color and detail in a fractal, especially a one-layer image rendered with the usual flat equal-iteration bands and inside=0. Of course, I revved up the colors a small amount in a graphic program, but the processed color palette has been incorporated into the parameter file, so regardless of whether one downloads the GIF image from: Since the parameter file takes almost 18 minutes to render on a 200mhz Pentium, the download is the wiser choice. The fractal weather today was once again perfect. The high temperature reached 73F (23C), which made both the cats and me happy. The philosophy is still stagnated, waiting until my muse returns. Regardless of whether the muse returns tomorrow, I shall return with another fractal and a few words to go along with the fractal. For now, the day's work is done, and it's time to settle down for a relaxing evening in front of the TV, especially with a junky old movie or two showing. Until tomorrow, take care, and don't count your fractals until they're rendered. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fractally_Exciting { ; time=0:17:51.43 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-177.609990921166/+0.03714106316788/2.283\
007e+008/1/-127.499/0.004 params=0.1/-1000/1/2/0/0
float=y maxiter=2000 inside=0 logmap=329 periodicity=9
colors=000pgzwnzzuzwrurprmnngmkbif_gbVf_PdXKaR<2>7XH\
CRGGMEKJCOEBRB9VEBXGCYJE_KGaMHdPJfRKgTMiXOkYPm_RnVXp\
PapMdrHisCns9rp6nm4mi2kf1ib0g_0d<2>P0_M0YK0XJ0TH2RGB\
PGHOEPMCXKBdJBkH9fG7bE7_C6XC4TB4P92M72J74O66R66V47_4\
7b49f2Bi2Bn1Cr1Cu1Ey0Gz0<2>Hz0Mz1Pz2Tu6Xp7_i9bdCf_Ei\
TGmOJpHK<2>z1Rz0Tz0Yy0au1fs2ir4mn6rm7ui9zgBzfCziJsmP\
fpXTrdHn`EkYBgT9fR6bP4_N1XL0VJ0RH0OG0KD0JB0G90C60D50\
EC0GE0JE0KG0MG2PH7RHCVJHXJMYKRaKXbMadMfgYdkidmsdigOg\
X9fK0aO0YR0TV2PY4Ma7Hd9EgCBkE6nH2rJ0sKya7pXCgRG_MJTH\
MKCRC7V42Y00a24d79f<2>KPmPVpTar<2>fpy_spTwgMy_GzRBzK\
EyJHsHKnGOiGRfEVaCYXBaRByM9BJ7gE6n96r44u02y02nM1dk0X\
z0dz2ky6rsBymEzgJzbMzYP<2>zX6yX0yYCyYOy__y_kyawyazya\
zpbz<3>OizHkz9mz2nz0nyYMzz0zr7zbJuOXp7gk0uf0zb0zYGuV\
YpR_uXay_<3>gzrkzknzfpzaszVwzPyzKzzGzz9zz4zz0<2>zz0T\
zzYzzdzzkzz
}
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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