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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: With today's image, the string of FOTD's without benefit of a quadratic midget, continues unabated. Today's image was created by number 14 in my series of 14 formulae based on distortions of the Ikenaga function, a function that must do little other than make fractals, since its creator has apparently disowned it. I had a bit of a problem finding a name for today's fractal. Some of the names that came to mind as I studied the image are unmentionable. But after making my mind a blank, (no problem for me), I finally centered my attention on the fractal elements converging on the mysterious dark area at top center. The darkness appeared most mysterious, inspiring the name "Mysterious Darkness". Actually, most of the image consists of 'inside' area, which has been colored with an inside fill of bof60. The few outside areas are colored with the 'real' option, though this makes little difference in the overall appearance. I rated the image at only a 6. The green and purple color palette is not really very harmonious, though it is rather attention-getting. With a better color scheme, the image might have rated a 7 or 8. The image renders from the attached parameter file in a little under 9 minutes on a rusty old Pentium 200mhz machine optimized for Fractint fractals. For those who would rather not fuss with parameter files, the ready-to-view GIF image will soon be available on the internet at Paul's web site at the URL: The fractal weather today was absolutely perfect, with crystal blue skies, refreshingly dry atmosphere, gentle winds, and a temperature of 79F (26C). The fractal cats relished the conditions in the shade of the fractal holly tree. As for me, I'd relish an evening watching a bit of junky TV. Maybe I'll put on one of my many 'Dark Shadows' tapes to keep with the dark mood of today's FOTD. They're always good for a hoot. Until next time, take care, and in time of need, a good fractal may be a life saver. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
MysteriousDarkness { ; time=0:08:43.44--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandNewt14 passes=1 center-mag=6.36546\
/-1.11022e-016/0.8933869/1.1682/-90
params=-1.5411/0.5839/4.434/0.6981/-1.545/-5.4089
float=y maxiter=180 inside=bof60
outside=real logmap=yes periodicity=0
colors=000FADDDFAFI8HKDKJHOIKSHOXFS_FXcEZgDbkBfoBj\
sAnw8rz7uz7szDrwIrsNqqSqmYoiboffnbknZqmXvmSzkOzkMz\
iRzfXzc_vber_jnYniVseUwaSwaRvaQvaOvaNuaKu_Js_0yz0w\
y0vy2uy3sy4rw6qw7ow8nwAmwBkvDjvEivFgvHfuIeuJcuKbuM\
asN_sOZsQYsRXsQUuOSuNQvMOvMMwKKwJJwIHyHFyi_0mb0qg0\
sk0vo0ys0zy0zz0zz0zz0zy0rm0ia0aQ0SE0K20M30N44O6AO7\
EQ8IRANSBRSBXUD_VEcXFiXHmYIrZJvZJzbRrfYkjccnjYrqQv\
wJzzBzz4zz3zy3ys3wm3vg3ub3uY3oX4kV4gV6bU6ZS7VS7QR8\
MQ8IQADOA8NB4NB0MD0KD0KD0ME3ME8MFEMFJNHfNHfNIfNIzz\
JzzJzzKzzKzzNzzQzzSzzVzyYzw_zvbzsczqeznezkfzigzggz\
eizbjz_jzYkzVmzUmzQnyNnvKnrHnoEnmBni7nf4nc2na0n_3j\
_6fZ8bZB_YFXYISXKOXNMjOJYVXKag7gsDZeHQSNYUScVZjXcq\
YarXZrVXsVUsURsSOuSMuRKuRIvQFvODwOAwN7wM4yM2yK0yK0\
rN0mO0gQ0bR0YS0SV0NX0IY0DZ07_0BY0EX0IU0KS0OQ0RO0VM\
0YK0aI0cH0gE0jD0nA0q8Uc2uR0nO0gN0aM0XK2QI3JH4DF67E\
7K20X00U00R00O00M23K46I7A
}
frm:MandNewt14 {; Jim Muth
z=g=pixel, a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), e=real(p3), f=imag(p3):
h=z^a+(g-1)*(z-b)
j=c*z^d+g
z=z-e*h/(f*j),
0.000000000000000000000000000001 <= |h|
}
END 20.0 PAR-FORMULA FILE==================================
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times.
