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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: With a basement to dry out and with work waiting to be done, I'll have to keep today's discussion short. Today's image returns us to the parent fractal of the 'winedark' and 'limabean' images that appeared recently as FOTD's. This huge parent fractal holds surprises enough for a lifetime of exploration. But there are many other fractals with enough surprises for a lifetime of exploration, and I have only one lifetime, so I can give today's parent fractal only limited exploration. I had originally given today's image another name. Then, after seeing the fractal basement looking more like a sea than a basement, I changed the name to "Undersea Scene". It's not a totally unjustified name, since the pattern surrounding the midget does have a kind of coral under-water appearance. The rating of an above-average 7 seems about right for the image, and the 6-minute running time of the parameter file makes the image fairly easy to see. The simplest way of all to see the image is to download it from the internet, where it will soon be posted to Paul's web site at: The fractal weather today was not the kind that cats enjoy. The temperature of 65F 18C was comfortable enough, but the on-and-off showers continued, increasing in intensity through the afternoon and climaxing in a torrential thunder-storm at 4pm, which sent the cats scurrying for cover and inundated the fractal basement. When the damage had been done, and the cats were in their worst possible moods, the sky suddenly cleared, revealing a brilliant waxing moon. As for me, I still need to shape-up the still-damp basement. And then there's that work that needs to be done. All this means that it's time to shut down the fractal shoppe for another day and get busy on other things. Until tomorrow, take care, and keep your feet dry. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Undersea_Scene { ; time=0:06:12.61--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.68598926801688290/-0.057715522608849\
34/2395119/1/10.0000000022212028/-2.13714152624833\
176e-009 params=-60/-1.3/-120/-3.1/0/800 float=y
maxiter=1250 inside=0 logmap=121
colors=000rQ0nO0iN0eM0aK0YJ0UI0OH0KF0HE0DD08D0BH0D\
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Zqs_rs_rs_rsarsassasscsscssessessfssfssgssgssissis\
sjssjssksskssmssmssnssnss
}
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.
