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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: All times of year are my favorite times, but early spring, when the new green shoots are just appearing, is my extra-favorite time. Since that time of year is not far off here in the northern hemisphere, I must have been thinking of spring when I named today's image "Fractal Regrowth". Apparently, the greenish features shooting out from the magenta body of the image inspired the name. And the deep blue background is as close to a spring sky as a fractal can come. Unfortunately, the equinox is still 5 weeks away, and the Fractal Central plants are still deep in their midwinter sleep, and the only spring growth I'll see for a number of weeks will be on the screen of my fractal-dedicated computer. The whimsical formula, (all FOTD formulae are), behind today's image is 0.0005(Z^100)+1.25(1/Z)+(1/C). This formula draws a main Mandeloid with a bloated main bud and a few auxiliary mini-Mandeloids scattered about, which I have not yet investigated. Today's midget is located deep in the north branch of the Seahorse Valley area of the main Mandeloid. The fractal elements in the picture are unusually well defined, and the colors are unusually brilliant. These features earned the picture a well-earned 7 on my zero-to-ten scale of fractal worth. The parameter file runs quite a bit faster than yesterday's dawdler, but still, 23 minutes will set no new speed record. Relief for the weary is at hand however, and may be found in the form of the pre-rendered GIF image file on the web at Paul Lee's web site at the URL: The fractal weather today featured a cloudy cold morning and a sunny mild afternoon with a temperature of 54F (12C). In response, the fractal cats hugged the radiators all morning and spent all afternoon lurking in the yard grass, chattering at the local birds, but catching nothing. Unfortunately, I had no time for philosophizing today, and I will have no time until the all-new consolidated Super Fractal Central is up and running in a month or so. But I'll somehow find time for fractals regardless of how busy things become. In fact, the next fractal will appear in 27 hours. Until then, take care, and when you wish upon a fractal, your dreams come true. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fractal_Regrowth { ; time=0:23:05.20 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-4.552775034858155/-0.110616707317948/779\
485.7/1/-22.499 params=0.0005/100/1.25/-1/0/0 float=y
maxiter=3600 inside=0 logmap=-466 periodicity=10
colors=000K0zK0zI0zI0zI0zO0zVBzYMzdYzjizovzvzzzzztzz\
pzzjzqevgaqXYlKVg9Qa0<2>FO0IM0MK0QI0VH0XF3_DBdBIg9Ql\
7Yn5dq3lv2tz0z<2>z0zz0t<3>z0Fz05x00x00x00z00z00z00z0\
7z0Fz0Mz0Vz0az0iz0oz0nt0nl0le0l_0iT5_MBRFF`9hzAawKXm\
U_dcdamiaznaweep_igTncMqUFvK9xI3zO0zX0za0zi0zo0zd0zV\
0zK0zB0z03z0Bz0Hz0Mz<2>0Hz7FzFDzOBzY9xe7xo5vx3vz2tz2\
tz7vzBxzFzzIzzMz<2>z_zzdzzgzxlzvozttztxzotznozlnziiz\
ggtddoa_i_YdYV_XTVTOOQKKOIFMF9KD5OH9QKDTOFXTIYXM_YOd\
aTeeVgiYlnanodotgtxlvznxzqzztyzwwtzumzsczqUzoKzo3zo2\
zo2zq2zq0zq0zq0zt0zt0zt0zv0zv0zv0zv0zx0zx0zx0zz0x<3>\
z0xz0xz0x<2>z0xz0xz0v<3>z0vz0vz0v<2>z0vz0vz0t<3>z0tz\
0tz0t<3>z0tz0o<4>z0t<2>z0wz0xz2y<2>z7zzBzzDzzFz<2>zJ\
zzKzzKz<25>zKz
}
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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