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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today was a day of playing catch-up here at Fractal Central. Luckily, the work actually is catching up, and though the end is not quite in sight, it is lurking just around the next corner. While catching up, I somehow managed to find time for one fractal. That image is the one that appears as today's FOTD. It's only a 5-rated image, but still worth the effort of downloading the GIF file from: The iterated formula combines 15 parts of Z^(-1.1) with 1.5 parts of Z^(-13), and then adds 1/C. I named the image "Fractal Celebration" mostly in memory of my recent enjoyment of the festivities of the religious season. While attending such ceremonies, which I enjoy tremendously, I often get to wondering whether any truth lies behind the almost impossibly good news imparted by the celebrants. But this is a topic for another day on the Philofractal list. The fractal weather today featured cold 48F (9C) air and occasional rain. The cats tried to go outdoors, but when they saw the conditions, their noses were back inside before their tails were out. And now it's time to quickly shutter down the fractal shoppe and call it a night. But I'll return in approximately 24 hours with more fractal things. Until then, take care, and if fractals had never been discovered, I would still have faith in them. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
FractalCelebration { ; time=0:13:04.22--SF5 on a p200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+3.22981160230094/+1.682986998869586/3.\
658132e+008/1/-147.5 params=15/-1.1/1.5/-13/0/300
float=y maxiter=1200 inside=0
logmap=172 periodicity=10
colors=000QX`PY_PYYPYXPYVVXT`XSdVSjVQoTPuTPySOzSMz\
SMzPPxMSrLTmIXgFYaD`XAaS7dM6fL3iA0jF0m00o00r00s03v\
0Dy0Oz0Yz1ao3rz4jnIsyzc`fddzYVuXYxX_zX`zXczXdzXfz_\
aza_zdXzgTyjQxmOvpLssIrvFpyCoz9ixDdvI_sLVrPQpSSlOT\
gLVdIX`FXXCYT9_P4`M1`I0aD0cA0d60d30c10Y0CQ0OG0FG0F\
40A90DC0FF3II9JMFLPJOSPPVTS__TadVdiYgo_js`lvcmxdoy\
gozipzlrzmszpszruzuvzvvzxpzrlzlgzfaz`YzVTzPOzJJzDF\
z79z14z00z0Dz0Pm0``0mM0y90z00z00m4DVGSCSfzFJzCPyAT\
u9Yp6al4fg3jc0o_0sV0xX1vX4uX7sYArYFpYIp_Lo_Om_Sl`V\
j`Yj``iadgagfajdamdYg_VaVSYQOSMLOIIIDDC9A747104009\
01C17F4DJ6JM9PPAVSC`XFf_GlaJrfLxiOzlPzoQzi`zdis`ri\
Xz_SzQPzVOzYMz`LzcJzfIyiLvjMslOpmQomSloTipXfpYdr_a\
sa_scXudVvgSviPxjMylLydGr_MjTTcM`XGgPAiI3jA0l30m00\
o10p40r71sA4uD7vGAvJCvMFvPIxSLyVMzYGzSAzO4zJ0zF0zA\
0z61zMFzaSzrdzzczzczzazxazvazs`zp`zm`zlazlczlczldz\
ldzlfzlfzldziczgazdazc`z`
}
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.
