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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The day was supposed to be slow, but unfortunately the customers didn't get the message, so here I am, writing at 7:45 the next morning. No problem however. I've now got at least an hour to spare. Today's image is average, so I gave it an average rating of 5. I named it "Fragmented Fractal", a name that accurately describes the scene. The fragmentation is not unusual however, as all fractals created by formulae with fractional powers of Z are fragmented. But thanks to the coloring, today's scene has more of a feeling of depth than most. While studying the image, searching for a name, I got the feeling of staring down into the imaginary depths of mathematical hyperspace, watching the bits and pieces swirl and change shape. An animation would show this effect far better, but there is no time to create animations at a one-a-day rate. The parameter file renders in 16 minutes on a basic Pentium-I running at 200mhz. The GIF image will soon be available on the internet at: The fractal weather today made up for yesterday. The clear blue sky, light winds, and temperature of 77F (25C) gave the cats no reason to complain. They spent the afternoon in the yard, wishing they were young enough once again to run and climb all day. My philosophical muse has been stifled for several months, so it's about time I release it and start spouting off. The topic that most holds my interest is the disagreement between religion and science, and the possible relation of all this to fractals. This is the topic that the Philofractal list was created to discuss, and this is the topic that I will talk about in the days to come. I will give the most attention to science. Although I have enjoyed science as long as I can remember, I am not totally pleased with it. I do not consider it something sacred and in need of being defended. I do not consider its methods to be the ultimate means of discovering truth. It ignores too many aspects of life to claim that title. I'll take it up from here in the next FOTD, on this same list. Right now, duty is calling. It's time to pack away the fractal stuff until tomorrow, feed the cats, and get busy on other things. Until next time, take care and take lots of fractals -- they're rich in isoflavones. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fragmented_Fractal { ; time=0:16:46.62--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=1
center-mag=-0.17750380430011240/+0.265756365793003\
70/2.139322e+007/1/-130 params=2.289428485/0/-29/0
float=y maxiter=5000 inside=0
logmap=320 periodicity=10
colors=00000P00P00N00N00L00L00L00J00J00H00H00J00H0\
0H00G00G00E00E00E02C04C04A06A0882A84C84C66E68G48H4\
AJ2CJ2CL2EN0GP0GR0HR0JT0JV0LX0NZ0NZ0P`0Rb0Rd0Te0Ve\
0Vg0Xi0Zk0Zm0`m0bo0bq0ds0eu0eu0gv0ix0iz0kz0mz0mz0o\
z0qz0qz0sz0uz0uz0vz0vz0sz0qz0oz0kz0iz0gz0dz0bz0`z0\
Zx0Vv0Tu0Rs0Nq0Lo0Jo0Hm0Ek0Ci0Ag06e04d02b00b00`00Z\
00X00V00T00R00P00R00R00R00R00R00R20R20R40R60R60T82\
TA4TA6TC8TEATECTGETHGTJHTJHVLJVNLVNNVPPVRRVRTVTVVV\
XVVZVXZXZ`XZbX`dXbeXdgXdiXekXgmXgoXioZkqZksZmuZovZ\
oxZqzZszZszZuzZvzZvzVxzTxvRxuNxsLzoJzmHziEzgCzeAzb\
8z`4zZ2zV0zT0zP0zN0zL0zH0zG0zC0zA0z80z40z20z00z20z\
20z20z20z40z40z40z40z40z60z60z60z60zA0zE0zH0zL0zP0\
zT0zV0xX0xZ0x`0xb0xd0ve0vg0vi0vk0vk0uk0uk0uk0uk0uk\
0sk0sm0sm0so0so0qq0qq0qs0qs0qu0ou0ov0ov0ox2ox2mz2m\
z4mz4mz4mz6kz6kz6kz8kz8kz8izAizAizAizAiz8kz8kz8kz8\
mz8mz8mz8oz8oz8oz8qz8qz8q
}
frm:MandelbrotBC1 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < a }
END 20.0 PAR-FORMULA FILE==================================
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times.
