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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal is a come-down from yesterday's, but it still rates a 4, which equals only slightly below average. The picture was created by the formula 1.1(Z)-3.1(Z^(-2))+(1/C). The parent fractal, which lies off the northwest corner of the default screen, is a nearly circular Mandeloid with an excess of undersized buds lining the shoreline. Today's scene lies slightly inland from the northernmost part of the shore. I named the picture "Fractal Potpourri" because it is a mixture of anything and everything, with no definite theme to lock onto. Due to a slightly busier day than expected, I had to be frugal on the coloring of the image. But I gave it a run through a graphic program to bring out some of the zip that I neglected to give it when I worked with it. The parameter file makes the impatient fractalist wait over 10 minutes. A quick trip on the internet to: Though the fractal weather today was cloudy, no rain fell. The temperature of 76F (24.5C) was good enough for the fractal cats, Thomas and Tippy, who somehow managed to be on their best behavior all day. It was also a good day for the philosophy, but I got it all out of me in replies to letters on the Philofractal list. I'll try again tomorrow to amuse, entertain and enlighten with my one-of-a-kind philosophy. And hopefully I can keep the philosophy from changing into armchair science. And now it's time to accept the fact that all good things must come to an end. Today's FOTD has ended, but the moment has been prepared for, and more FOTD's are waiting in the wings. The next will appear in only 24 hours. Until then, take care, and don't let that fractal break you up. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fractal_Potpourri { ; time=0:10:11.60 -- SF5 on a p200
; Version 2000 Patchlevel 9
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.52471990205487250/+1.68018131750088800\
/3.623226e+008/1/-30 params=-3/-2/1/1/0.1/0 float=y
maxiter=1500 inside=0 logmap=195 periodicity=10
colors=000C03C04<2>G03I41J90LF0MJ0MP0LT0J_0Jc0Vg0<2>\
yu0zx00zM0sV6jcCajITsMMzLOz<3>LOzLPzLPz<2>LPzQ`zVjz`\
uzdzxVlSMV0ST1<3>oSJuSOzSSzSXzQTzPSyOQvMPuLOsLMvMQyP\
TzSYzV`zXc<2>ygOvjJsmFor9lu4ix0fz0cz0`z0av0aj0c_0cP3\
dD7d1Cd0Ff0Cf0Af07g16g43g61g90iC0iD0<2>jL0jO0jP0lT0m\
Y0m`0od0pg0pl0ro0ss0sx0uz0vz0vz0xz0xz0sz0pz0mu0jm0<2\
>`V0YO0TI0QA0O40L00I00M00P60SC1VJ4_P6aX9daAgiDjoFfpI\
<2>XpMTpOPrP<2>FrTCrV7sX4sY0s_0s`0sajlrfS`c7L`04S0FJ\
0PC6_3Ci0Is0Mz7DzS4zl0zz0z00m0CY4aJCz4Mv0Vr0dm0mi0vf\
0ud0sd0sd0rd0rd0pd0pd0od0od0md0md0ld0ld0jd0jd0l_0mT4\
oODpJMrDVs7cs3lp4jm6ij6g<3>_CaXD`TF_QGYOIXLJVILVOMa<\
2>aQxfSzjTzcVzYXu<3>AaM4cD0d40f0<2>0j07l0Dm0Lo0Qp0Vr\
3Ys4au6dv9ixAlyCfzA`zAXzAQzAMzAGzACzAJzF<3>fzTlzXrz`\
xzcyzf<3>yzlzzmzzozzpzzrzzsxzlSz3
}
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.
