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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: When the FOTD discussion is short, it is a sign that things are very busy here at Fractal Central. Today's discussion is rather short; things are rather busy. I am fascinated by mystical and paranormal things. I even feel that some of these mysterious, questionable, and apparently impossible things might in fact exist. I realize that my belief contradicts science as it now stands, but this merely demonstrates that IMO science has much yet to discover that will not fit in with our current assumptions of the nature of reality. The dark somber colors of today's fractal lend an air of mystery to the scene, making it fully worthy of its name, "Mystical Mandelbrot". The name also has a harmonious sound when spoken aloud, which could serve as a mantra for meditation. The rating of 6 is becoming a habit which needs to be broken. The formula that created the parent fractal takes 3.1 parts of Z^(-2) and subtracts twice as much Z^(-20) before adding 1/C. This formula draws a large ocean with a smaller Mandelbrot set on the X-axis to the west. The entire scene has X-axis symmetry. Today's midget lies in the center of the north branch of Seahorse Valley of this smaller M-set. The best way to see the location of today's scene in relation to the entire fractal is to back out one step at a time, using thumbnail-size preview images, until the entire fractal is visible. The image is a slow one, so the best way of viewing it is to give Paul and Scott a chance to render and post it, then to pick up the GIF image from their web sites at: The fractal weather today was sunny and hot, with a temperature of 93F 34C. The fractal cats acknowledged the heat by doing nothing. But unlike the cats, who are still doing nothing, I've got lots to do and limited time in which to do it. Until next time, take care, and see you soon. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
MysticalMandelbrot { ; time=0:39:07.68--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-1.27323034485865200/+0.001129817995900\
75/6.941571e+009/1/95 params=3.1/-2/-6.2/-20/0/800
float=y maxiter=6000 inside=0
colors=000A0P00OA0WE0`J0eN0kS0pW0tZ0zb0zg0zk0zp0zt\
0zv0zt6ztHztSztbztmztyztzzzzztzzgzrUkeHUQz80z00z01\
z03z36zA8yH8pNAeUCW`CLgECmH1tH0zJ0zL0zL0zN0yN0tN0m\
N0iN0bN0ZN0SN0LN3HN6AN86NC0NE0NH0NJ0NL0SL0WL0`L6eL\
AiNEmNLrNQtNUyN`zQezQizQpzQtzQyzQzzLtzHmpCeZ8ZHQWE\
gWEvUCzUCzUCzQAzLAzJAzEAzCAz8Az3Az18z08z08z08z08z0\
8y08y08v08t08ggb``bUSeNJgHCgA3i60i16g0Ce0Lb0S`0`Z0\
gZ0pW0vU0zS0zQ0zN0zN0zHAeASH3U30b00i00p0Av0Nz0Zz0i\
z0zz0tz0kz0ez0Wz0Jz0Nz0Qz0Sz1Uz3Wz8ZzA`zCbzHgzJizN\
kvQmtSppWrmZtkzmk`vk6zm0zk0zk0zk0zk0vi0ri0pi0ki0gg\
0bg3Zg6Uk0Lg8SbHWZN`UWeSeiNkmJttEzyCzz8zz3zz0zz0zz\
0zz0zz0zv0zm0vg0mZ0eS0ZJ0QC0H308000000000000000000\
000000000000600C00J30Q60WA0bE0iH0pL0vN0zQ0tS0mS0iU\
0bW0WW0SZ0L`0E`0Ab03g00b00Z00U00Q01L31H61CA38E33J3\
0N60S60W00U60UA6UEESJLSNUSS`SWiQbrQgyQkzNpzNtzNy00\
`Z1pzNzzUzzAtq3p00000000K
}
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.
