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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image is named for the colors rather than the forms. The formula, Z^(2.5)+C, is unexceptional, though its location 344 levels up the logarithmic spiral is a bit unusual. The colors however are what brings the forms to life. While studying the image, searching for a name, I noticed the conjunction of black and violet, which gives the impression of one of those ultraviolet 'black' lights that were so popular back in the psychedelic era. (The lights may still be popular in some places, but I no longer go to those places.) Feeling a bit nostalgic, I named the image "Ultraviolet Midget". The color palette is a random one created by striking the <enter> key while in Fractint's color cycling mode. I normally discard these haphazard palettes as soon as they appear, but in today's image, one of them worked just right. It worked well enough in fact to raise the rating of a ho-hum image to a rating actually a bit above average. The image can be seen and enjoyed by running the parameter file and sitting back for 12 minutes while the computer does the work, or by going online and downloading the finished GIF image from: The fractal weather today here at Fractal Central, where the holly berries are ripening rapidly, was near perfect. The fractal cats must have agreed, because they were in and out most of the day, enjoying the sun and temperature of 63F 17C outdoors, as well as the free meal indoors. They had such a good day in fact that they must have been spoiled. Thomas is even now sitting in the doorway, staring at me -- a certain sign that he wants more food. And I also want to send off a brief reply to the Philofractal list before I settle down to serious things such as work that pays. Until next time, take care, and hope for the best. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_Raspy_Old_Midget { ; time=0:11:41.29--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.77096187026955700/-2.487403802992336\
00/3.864825e+009/1/92.499/0.003
params=-5/-1.15/-0.02/-11.5/0/0 float=y
maxiter=1200 inside=0 logmap=205 periodicity=10
colors=000zSuzTrzUuzVuzWuzXuzYvzZvz_vz`vzayzbyzcyz\
dyzeyzfzzgzzhzzizzjzzkzzlzzmzznzzozzpzzqzzrzzszytz\
yuzyvzvwzvzzuzzuzzuzzrzzrzzpzzpzzuzzpzznzzmzzkzzfz\
zezzcyyavy_rvWpuUmrRkpPfnMemKakI_kGWiEUfAPe8Oc7Ka5\
I_1EY0CY08W07U03R01P00O00M00K00M00K00K00I00I00I00G\
00G01E13E53E75C87CC8AEAAGAAKC8ME8OG7PG7UI7WK5YM5aO\
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i0zk0zk0zm1zm5yn7vn8rpAppCnrGmrIiuKfuMeuOcvRavUYyW\
WyYUz_RzcOzeMzfKziIzkEznCzpAzr8zu5zz7zv7zu7zr7zp7y\
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K88I78G58E38A0880870850810800800800500800A00E00G00\
K10M30P30R50U70Y80_A1cC3eC5iE7kG8nIApKCrMEvMGyOIzP\
KzRMzUOzWPzWPzYOzYOz_Oz_MzaMzaMzcKzcKzeKyeIyfIvfIv\
iGuiGrkGrkEpmEpmEnnCmnCmpCkpAkrAirAfu8fu8ev8ev7cy7\
ay7az5_z5cz3_z5Yz5Wz5Uz7Rz7Pz7Oz8Mz8Kz8IzAGzAEzACz\
CAzC8zC7zE5zE3zE1zG0zG0zG
}
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.
