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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal, which pictures a tiny midget surrounded by a neon-like series of arcs, with electric blue spots of color scattered about, rates a slightly exaggerated 7. I named the picture "The Wheel Invented" because of the roughly circular pinkish ring around the midget. The expression that created the image, 1.11Z^(-11.1)+11.1Z^(-1.11)+(1/C), which is almost impossible to type accurately, is a result of my indefatigable whimsy. The magnitude of today's scene is actually slightly beyond the limit of resolution, and had to be forced by setting the mathtolerance command to /1. I have included this command in the parameter file so that it will render the scene correctly. The slight degradation is visible at the edges of the bands, which are slightly jagged. At a resolution of 640x480 this degradation is barely noticeable, but at higher resolutions it becomes more noticeable. Therefore rendering today's image at a resolution greater than 640x480 is pretty much a wasted effort. Having such a high magnitude, the image renders slowly from the parameter file, requiring a 23 minute wait that would try the patience of a yogi. But the file of the GIF image downloads in less than one minute from: The GIF file will also soon be available on the Web at: The fractal weather today was less than perfect, with the variable cloudiness, occasional spits of rain, and temperature of only 65F (18C) keeping the fractal cats in a foul mood. Their surliness finally erupted late this afternoon in a noisy squabble that left Thomas with a nicked ear. The dynamic duo spent the rest of the afternoon sitting back-to-back, actively ignoring each other. As for me, I'm certainly not going to ignore shut-down time here at Fractal Central any longer. The day is done, I'm exhausted, the cats are still moody, and the TV is playing downstairs. It's time to call it a day and slump into my TV chair to watch something -- the junkier the better. Until tomorrow, take care, and start looking for pictures of Fractal Central, the fractal cats, and maybe even myself. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
The_Wheel_Invented { ; time=0:23:03.02 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+2.96459253481997100/-0.84712989364400860\
/3.663697e+012/0.9999/-69.987/0.002 mathtolerance=/1
params=1.11/-11.1/11.1/-1.11/0/1000 float=y
maxiter=1500 inside=0 logmap=446 periodicity=10
colors=0000C00G10J60NA0PF0TJ0WN1_R1aU<4>0PO0NN0KL0HL\
<3>06G03F00D00D30GD0JK0KR0NX1Pb1Ri3To3Uu4Xz4_z6`z6bz\
6dz9fzCgzFjzGkyJnvLotOqsPspSuoUvlXyjYzi`zfbzedzg_q<2\
>oND<2>v`DydDziDzlDzqDzuDzuDzuDzuHuuKouNiuRbuTXuWRu_\
KuaDwd6te7peDlfHifLegRagUYi<3>jJjkHkkGlkFllDnlCnlAol\
9pn9pn7qn6qn4so3to1to0uo0uk4vi9v<3>_OvXSvUUwSYwPawNe\
wKgwHkwFowCqwbjsdajfUaNKP09C4FK9JRCNXGRbJUiNWk<2>XYs\
_Yua_ud_ufYuiXukXuoYus_uv`uz`o<3>zaRzYKzWDzS6zP1zL1z\
J1zG1zC3z93z43z14z04<2>z13zA1zJ0zS0z_0zf0zg0zi1zi3yj\
4vk6uk7sl9qnAonCnoDloFipHfqKbsN`tPYuRUvTSwWOyYLz_Jza\
FzdCzf9zgGuk<2>XUvbXui_s<2>zfkzgizffzddzaazY_zWXzSUz\
RUzOWzLW<2>zD_zA`z9`<3>zPOwTLuXHs`FpdCng7kk4in1bo0Yp\
0<2>Hw0Kz0<3>Uz0Xz0Yz0`z1bz3ez4gz4jz6lz7nz7pzGszOuzW\
vza<2>eze_zfUzfUz_TzRTzJ0z1
}
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.
