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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's C-FOTD image rates a rare 9 on my 0-to-10 scale of fractal worth. It is so good in fact that I won't distract attention from the image with a lot of off-topic blather. I rated the picture a 9 because I like the texture, I like the colors, and I like the pattern. The formula that drew the image is 0.01Z^(-0.85)+Z^(1.05)+C, an obviously whimsical choice that I never expected would do anything worthwhile. But fractals are deceiving, and today's formula has more in it than a quick glance would lead one to believe. I named the picture "Good Luck Minibrot". I certainly had some good luck when I entered those parameters and chose a very unlikely area to investigate. Actually, the image is totally a matter of luck. Very little planning or skill on my part went into its creation. With a run-time of a little less than 19 minutes, the parameter file is slow, but it will be worth the effort for those impatient to see a FOTD that rates a 9. Those with a bit more patience should wait an hour or so and download the GIF image from: The fractal weather today was partly sunny, with a chilly temperature of 40F (4.5C). Though it was chilly, the light wind made things bearable for the delicate fractal cats, who spent over one hour prowling and playing in the yard. And now the time has once again come to shut down the fractal shoppe and call it a night. I'll return in 24 hours without fail. Until then, take care, and one doesn't see a 9-rated FOTD every day. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Good_Luck_Minibrot { ; time=0:18:49.77 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=-0.00784141051596368/+0.03176929261659683\
/1.128003e+009/1/140 params=0.01/-0.85/1/1.05/0/0
float=y maxiter=2000 inside=0 logmap=316 periodicity=10
colors=0000Oy0Rs1Sm6UiAXdGY`KZVPaRUbLZdHbfChh7li2rl0\
vm0zo0ym0yl5wkDwiKwhSvh`vfhveotdwtbztbzoftiiddlNZo6U\
r0Sl0Rh0Pd0OZ0NV0LR0KL0JH0HD0G70F30D00D00H11K66OAARG\
GUKLYPP`VVdZ`fddihimmopsstwywzzzzzyzzwzy<4>phaoeYmaU\
lZOkVKiSGhOAfL6eH2eF0h97i5Hk1Pl0Zm0ho0ps0rv5ryDs<3>z\
itzrtzoszlswirrfrlephbpb`oYYoUVmOUmJRlFOl9Lk3Jk0HkDC\
iP6ib1ho0hz0hw0ks0lo0ok2pf5sb6tZ9wVCy<2>KJzLNyLPtNSo\
NVkOYeOaaPdXPfSRiNRlJSpDSs9Uv3Uy0Vz0Vz0Rs0Oh7<2>GCYD\
2eC3dC5dA6b<2>9Aa9Ca7D`7F`7G`6HZ6JZ6JZAHbDHfGHiKHmNG\
rPGtUGyXGzZGzYOwXVoVafVhZUoRSvJRzARz2Oz3Nz3Kz3Jw3Gt3\
Fp3Cm3Ak37h36e36e55b35a33`23Y23X12V12S0<3>0L00K00H00\
G00F00G00D00C00A007016115222321520695FGALNFSUK``OffU\
miapmYteVtZRtRStJUsCXs3Zs0at0ds0fr2ip6lo9omCrmGtlJwk\
LziPzhSzh<3>dzbhzafzbfzbezbezbezd<3>dzd0zZ<2>1zY5zY9\
zX
}
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.
