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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: It was another busy day at the new Fractal Central. I spent most of the day hanging shades, a job that is sure to bring out the worst in one. But after many choice words, the job was accomplished, and my attention turned to the world of fractals. Today's image reminds me of a group of orchids growing in some forgotten tropical rain forest. I named it "Fractal Orchids" and rated it a 6. Today's fractal is the latest in my series of 'evaporated' midgets, which I create by taking a fractal whose formula contains a negative power of Z and raising the bailout to a ridiculous value. The extreme bailout causes the outside parts of the image to disappear, leaving a blank screen totally composed of 'inside' stuff. But the ghost of the original image still exists in the blank scene, and can be revealed with various non-flat inside fills. Today's image for example uses a fill of bof61. The formula behind today's image takes a tiny bit of Z^(-13) and adds 20 times as much Z^(-0.8) before adding 1/C. The resulting fractal was enhanced in a separate graphic program, but the enhancement is accurately recorded in the parameter file. The image takes a bit over 4 minutes to render on a tired Pentium 200mhz machine. It takes about the same time to log onto the internet and download the GIF file of the image from: The fractal weather today was much improved, as bright sun and mild breezes combined to produce a temperature of 48F (9C). The fractal cats spent a half hour outdoors enjoying the pleasant conditions, but would have preferred a far longer stay in the sun. Until tomorrow, take care of your fractals. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fractal_Orchids { ; time=0:04:17.92 -- SF5 on P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip
center-mag=+4.10286840502174100/-0.036942999645177\
60/11526.9/1/-95 params=1/-13/20/-0.8/-0.965/1e+050
float=y maxiter=900 inside=bof61 periodicity=10
colors=000k0Ld0GZ0BS04N10G30B409808C07G05K04O33S51\
X90`C0dF0hH0lK0pN0sP1mL8hJDbGKYDP1LXN7bH4hC1o70u10\
z00z00z00z00z00z00z03z05z07e13F80HF4KL9NSDPZJSeNVl\
SYsX`zabzeF1F`wZZsVYoSXkOVfLTbHTZFSVBRR8PN4OJ1NF0L\
B0L70H90FC0BF08H04J01L00O00R00S00P01O1708BLDGKKKJP\
OGXTFaYDhbCmfBuk9zoJvsRswZpzhmzpkzyhzzezzfzzfzvfzs\
fzpfzlfzifzefybfzpFvXfuTfsRfmVkhZobbrZfvTkyOozKrz0\
VL7aNFfNOlNXrNdwNepNfkNheNiZNkTNlONmHNoCNp7Nr0NdRk\
dKieChe5hhRdkl`mkXokSpiPsiLuhJvhFyhBzf8zf4ze1ze0ze\
0f8hb9fZBfVCeSDeOFdKGdGHdDJb9Kb5La1Na0OaBNZLLYXLXf\
KTrJSzJRvPYXi0ae8faJlYTbhk`hiXhhThfPheNhbJhaGh`DhZ\
9hY7hV3hT0hS0hR0hP0hO0dL0aK4ZJ9XHDTGHPDLNCRKBVH9ZF\
8bB5h84l53p31u00k5GaBXSGlJLzNOwPRsSToVXkYYf``bbbZe\
eVhfRkiNmlJpoFsrBvs7yv3zy0zz0zz0zr0zf0zX5zL9zBDzGC\
zKBzO9yS8yY7ya5we4wi3wm3Of50a83`5G`3T`0f`0u`0z`0zZ\
0wY0rY1mX4hV7dV8z0bw0Yp0S
}
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.
