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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The cuspped shape surrounding the midget in today's fractal reminds me of the pattern one sees around a street light when looking at the light at night through a water droplet on the lens of a pair of eyeglasses. The name "Droplet on Eyeglass" seemed perfectly appropriate. Since most everything about the image is a bit above average, I rated the picture at an above-average 7. The whimsical (all mine are) formula responsible for the image is -1.2Z^(0.93)+0.72Z^(-1.23)+C, with a bailout radius of 225. Increasing the bailout, imag(p3), causes the midget to 'evaporate', leaving a ghost, which can be revealed by the proper inside fill. The parameter file renders in a little over 11-1/2 minutes. In 12 hours the GIF file of the image will be posted to: The cold blustery weather and the fresh 10cm snow cover kept the fractal cats indoors all day today, where they were safe from the temperature of 28F (-2C). They amused themselves by watching the outside activity and by sleeping and eating. I see it's now time to shut down the fractal emporium, re-feed the fractal cats, and call it a night. Until tomorrow, when I shall return with another fractal dredged up from nowhere, take care, and when in doubt, let it iterate. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
DropletOnEyeglass { ; time=0:11:20.02 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+5.46034376690815/+5.97615913314921/945.4\
231/1/-34.999 params=-1.2/0.93/0.72/-1.23/0/125
float=y maxiter=1500 inside=0 logmap=133 periodicity=10
colors=000`_A_dFYiJXoPVuTTzYTzaXzYYvV_rS`mPajMcfJdaF\
fYCgV9iQ6jM3lI0mF0pD3rC7sCCuAGvAMx9Qy9Vz7_z6dz6iz4mM\
00z3xz3zz1zz1zz3zz3zu4zo4zj4yd6v_6sT7rO7oJ7mD9j79g1A\
f0Ac0Aa0D`0F`0G`3I_6L_7M_AOYDPYGSYJTXMVXOXXPaTPgSPlP\
PrOPvLPzJPzICaF07C34D71FA0FF0GJ0IM0IP0JS0LV0LY0M`3Mc\
4Of6Oi7Pj9PgCMfFLdGJaJG`MF_ODYQCVT9TV7SY6P`3Oa1Md0Lf\
0_PaYSYXTTVVQTXMSYIQ`FPaAOc6Md3Lf0Lg0Jj0Im1<2>DvACvD\
AzG9zJ9zM4xO0pP0gQ0`S0TT<3>0_O0`M1aM3cL6dJ9fIAgGDiGF\
jFIlDJmCMoAOpAlJYyL0zM0xO0xP0xQ0xQ0vS0vT0vV0vX0vX0<2>\
u`0ua0ua0xf0zi0zl0zo0rg7f`FTTMIMT4F`09g1Dc9G`GJXPMT\
XPPcSMjVIsYFz`Azc7zf4zmCrsJfzQVzYJzcIzdGzdFzfFvfDsfC\
ogAlgAgi9di7`i6Yj6Tj4Ql3Ml3JlzjFzgJzfOzdSzaXz``z_d<2\
>yTryQvxPzxOzsPyoQvjQrfSoaTj_TgVVcQX`MXXIYTFYQD`Q<3>\
ClQCoQArQAsQAvQ9yQ9zQ9zQ7zQ<2>7zQFz_Mzg3zv0zz0zz0zz4\
zL3zC0z10z0<2>cz0az6
}
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.
