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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image reminds me of a colony of giant worms, like those in the 'Dune' series. But worms are not poetic, and I like to give my fractals poetic names, so I named the image "Land of Terraces". The terraces, which line the fractal hillside, were built by the formula 0.2(Z^2)-10(1/Z)+(1/C), a formula that I pecked out at random. The tdis outside coloring option also played an important part in the construction. The parent fractal of today's creation is little more than a giant blob filled with countless smaller blobs arranged in a pretty much haphazard manner. Today's image is located in the center of a large blob near the center of the giant blob. In addition to earning a much above average rating of 8, the FOTD image has the advantage of being a fast one, requiring only a little over 5 minutes to render on a slow old Pentium 200mhz. At this point I must confess a venial sin. I post-processed the image in a separate graphics program. But my sin has been forgiven, because I made no changes that could not be coded into a conventional Fractint parameter file. The 'tdis' outside coloring option, which was suggested by XXXXXXXX XXXXXXX, is proving to be a fine alternative to the classic equal iteration bands option. I feel I'll be using it more and more frequently in future FOTD's. Since I am not currently posting the FOTD to A.B.P.F., the only way to see the image is to run the parameter file or to give Paul and Scott a chance to post the GIF image file to their web sites at: The fractal weather today was totally miserable for men and cats alike. The rain and temperature of 43F (6C) kept both myself and the fractal cats safe indoors all afternoon. Tippy accepted his confinement, but Thomas complained loudly by the back door until I showed him how wet it was outside. Then he went to the side door and started complaining there. And it's now time for me to be complaining about how late it's getting and how hard I've been working. But I won't. Instead of complaining, I'll find some more fractals. The next, perhaps with a bit of philosophy, will appear in 27 hours. Until then, take care, and a cat's gotta do what a cat's gotta do. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Land_of_Terraces { ; time=0:05:20.16 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=mandelbrotmix4 function=recip passes=1
center-mag=+0.356722643327391/-0.1068235836299646/3.\
375269e+012/1/-110.022/-0.002 params=0.2/2/-10/-1/0/0
float=y maxiter=1200 bailout=25 inside=0 outside=tdis
periodicity=10 colors=000zTzD0pJ0pP0pT0pZ3pdDphLpnTp\
r`pxjpzrpzzpzzpzzpzzhzz`<2>zbDzV5zP0tJ5nFDhBJb7RX3ZP\
0dJ0lD0t70z10z00z00z10z30z70v90rB0nF0hH0dJ0`N0XP0TR0\
PV0NX0LZ0J`0Hd0Ff0Dh0Bj09l09p09<3>x09z09z09<3>z09z09\
z09<2>z19z59v99pB9<3>`JHXLJVNLRPNNRNJTPFVRDXT<2>1bZ0\
d`0d`0Xf3Rl7LrBDxF7zJ1z<3>Z0zb0zv0zzNzzJtzFnzBfv7`r3\
Tl0Nh0Fd09Z01V00R00P00P00N00N00L00L01J03J05H07H09L0B\
P0BT0DX0DZ0Db0Ff0Fj0Fn0Hp0Ht0Hx0Jz0Jz1Jx7PrDTlHXfN``\
TfVXjPbnJhrDlv7rz1xz0zz<3>0zz0tt5nl9hdDbXJXPNRHRL9L0\
0P01R01V01X01`01b01d03h03j03n03p03r03f05H07K09Q19R79\
RD9PLBPRBNXBNbBTd7Zf5dh3jj0nj0tp0zr0zw0zm0w`0kQ0cI5_\
HBTFHU5NV5LS4JP9HM9HGEFDJDHPBHVBJ`9Jf7Ll5Lr5Nx3Nz1Pz\
0Pz0Rz9TzHTzPVzXVzdXzlXxtVpv<2>VZvVTvVLx<2>V3xV0xV0z\
<3>V0zV0z`0zd0zh1zlDzpRztdzxpzvjzvdzv`zvVztPztLztFzz\
PzzPzzRzzTz
}
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.
