A wonderful image and the parent sure does have a lot of interesting stuff going on. Jim Muth wrote:
FOTD -- October 04, 2007 (Rating 8)
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 Z^2 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:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
and viewing the finished image there, will also prove rewarding.
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 center-mag=+4.555093507304436/+0.0002371242405838/\ 3.660635e+011/1/-177.5/0 params=1.1/2/1e-030/-99/\ 0/0/0/0 float=y maxiter=2500 inside=0 logmap=310 periodicity=10 mathtolerance=0.05/1 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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