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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: To find today's image we ventured into the depths of the fractal that results when 0.2 parts of Z^(-8.25) are combined with one part of Z^(-1.65), and (1/C) is added. Like so many fractals that are created by combining negative exponents of Z, this fractal is indescribable. Like the familiar Mandelbrot set, it has bays and valleys, but the inner detail of these features is totally unlike anything found in the M-set. Today's scene is located on the north edge of a valley on the positive real axis of the parent. An unusual feature of the scene is that it is not there. The scene has been 'evaporated' by raising the escape radius so high that all points are trapped. The trapped points are not dead however. They still have freedom to move around, and this motion has been made visible by the 'bof61' inside fill, which colors the points according to which iteration takes them closest to the origin. The image so produced appears as today's FOTD, which earns its rating of a 7 quite honestly. I have named it "Curse of the Creature" in recognition of those not-so-great old movies that they just don't seem able to make any longer. There might be some kind of creature lurking somewhere in the image. If I looked long enough, I'm sure I could find one. But the image is good enough as it is. We'll keep the creatures where they belong -- in the old movies. The render time of just under 14 minutes combines with the rating of 7 to give an overall value of a neat 50. And if the image is downloaded from: A cloudy cool day here at Fractal Central on Friday turned into light rain in the evening, but the cat duo got in enough yard time before the rain began to keep them reasonably happy. Only a little tuna was needed to make their day complete. Today is starting with clouds, cool temperatures and rain. Hopefully, it will turn dry in time for the cats to have their outdoor romp. With me, the work is mostly caught up, and the next FOTD fractal will appear in approximately 24 hours. Until then, take care, and be lucky. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
CurseOfTheCreature { ; time=0:13:57.77--SF5 on a P200
reset=2003 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+2.37819276581849900/+0.001714053513647\
82/1.158226e+007/1/152.5/-1.09526888978292436e-005
params=1/-1.65/0.2/-8.25/0/1e+100 float=y
maxiter=1700 inside=bof61 periodicity=10
colors=000x99sEEnJIjNMeSQaWUX`YSeaOieJniFrmGonGmnG\
joGhoGepGcpG`qGZqGWrGUrGSrCVg8XX4ZM6TO8OQAJRCETE9V\
F4WUOKhg9feAecAdaAb`AaZB`XBZWBYUBXSBWQCUPCTNCSLCQK\
CPIDOGDNEDLDDKBDJ9EH8EG6EF4EE3EG5DI6DK8CM9COABQCBS\
DAUFAWG9YH9_J8aK8cL7eN7gO6iQ6kR5mS5oU4qV4sW4n_MidT\
ehZamdYqjWmfUjcTf_RcXQ`UPZTOYTOWTNVSMTSMSSLQSKPRKN\
RJMRIKQIJQHHQGGQGEPFDPEBPEAOD8OC7OC6O96J76EBAFEDGI\
HHLKIONJSRKVUKZYLa`MdcNhgOkjPnmPedWXWaONhFFnIIoLLo\
NOoQQoTToVWpYZp``pbcpefpghp9ckEaiI_gMYeQWdUUbYS`aQ\
_eOYiMWmLVnSUnZUneUnlUnsUnzUoxRowOpuLptJqsGqqDrpAr\
o8rp7rq7rr6rs6rt6ru5rv5rw4rx4rx4ow8mwCjvGhvJeuNcuR\
auUcrSeoQflOhiNjgLkdJmaHoZGpWErUCtRAuO9wL7yI5zG4vH\
8sHCpHGmIKiIOfIScJW`J_XJcUKgRKkOKoLKrKMiKN`KPSKQJK\
RBJUAIWAHYAG_AFaAEd9Df9Ch9Bj9Al9An9Gj9Lf9Qb9WZ9`V9\
eR9kN9pJ9uF9uIBuLCuOEuQFuTHuWIuYKu`LucNueOuhQukRum\
TupUusWjAJmAIo9Gq9Et9Cv9A }
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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