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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image lies in a very unlikely parent fractal -- the one that results when an infinitesimal 0.000000000000000000000000000001 part of Z^(-99) is combined with 1.1 parts of Z2 and (1/C) is added. This parent consists of a single giant circle filled with detail of the most unusual kind. A small Mandelbrot set lies on the X-axis at the eastern edge of this circle. Today's scene is located in the East Valley area of this M-set. This parent fractal has the strange property of not appearing unless the mathtolerance=0.05/1 command is entered first. If the parameters are entered without this command, the result is a blank screen. I named the image "A Hairy Adventure". It seems a rather pleasant name. The rating of an 8 indicates that the 2-1/2 minutes spent running the included parameter file will be rewarded by a very attractive image. The small effort of going to the FOTD web site at: A near perfect day prevailed weatherwise here at Fractal Central on Wednesday. Unfortunately, the workday was not so perfect. But the work did get finished, and the fractal was good, so I would rate the day a mild success. The fractal cats overturned three wastebaskets in agreement. The next FOTD will appear in 24 hours. Until then, take care, and don't be haunted by a fractal ghost. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
A_Hairy_Adventure { ; time=0:02:34.34-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip inside=0
params=1.1/2/1e-030/-99/0/0/0/0 mathtolerance=0.05/1
center-mag=+4.555093507304436/+0.0002371242405838/\
3.660635e+011/1/-177.5/0 logmap=310 periodicity=10
float=y maxiter=2500
colors=000TNj_TdYTfVSiTSkQZgNdcLk_IqWGwSLuQPtOTsNX\
rL`qKepIioGmnFqmDulCcaJMRP5GV6HX6HY6H_6I`7Ib7Ic7Je\
7Jf8Jh8Ki8Kk8Kl9Ln9Lo9Lq9Lr7Wf5eV3oKFgUR_baTkiQppN\
twKxrLvnLtiMrbMpWKnOLlLLjKLlF8rE9oEBkDCgCEbCFYBHUB\
ISFKQINOLRNOVLRZJUaI`eGfiEjlBnp8qt6tw3wz1tv3qq5pn7\
oi9n`BmWDkTCiQCgNBeKBcIBMbeLdgKfhKgiJijIjkIlmHmnGo\
oGppFrqFsrIniLi`OdSR_JUVAXQ1ZR2_S2`T3aU3cV4dW4eX5f\
X5hY6_KQdLThMVmOXqPZuQ`qPYmOViNTeMQbLOZKLVJIRIGNHD\
KGBHGJFGRCGZAGf8GmKS`VbPfnDqy1mx5jw8gvBduE`uHYtKVs\
NSrQOrTLqWIpZFoaCodBnfBmgBlhBliBkjAjlAhmAgnAeoAcp9\
ar9`s9Zt9Xu9XvEWuIVtMUtQTsUSsYRrbRqfoqmmmrrrwwwzzz\
zzztttmmmoplmplkokjnkhmjfmjelickiajh`jhEmWDoXCnXCl\
XBkXAjXAhX9gX8fX8dX7cX7bX9dWCfVFhUIiTLkSOmRRmQUmPX\
mO_mNbnIemDhm9km4nm0qm1tm2wm2zm3zm3zm4zm4zm5zm6zm6\
zm7zm7zm8zm8zm9zm9zmAzmBzmCzmDzmDzmEzmFzmGzmGzmHzm\
IzmJzmJzmMzmPzmRzmUzmXzmZ }
frm:MandAutoCritInZ {; 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)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================
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times.
