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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: As I write these words, an invisible, blue, green and red fritzle is standing three feet behind my chair. No, I cannot give proof that it *is* there, but neither can anyone prove that it is not there. The elusive critter lies just beyond the range of human vision, in fact, when the planets are aligned in just the right way, the fritzle briefly becomes visible. It became visible earlier this evening. It was visible for only 37 seconds, but that brief appearance gave me just enough time to grab my fractal camera, load some fractal sensitive film, and take a photo of the fritzle. That photo appears as today's FOTD. I have no idea where the supernumerary fritzles came from. They were not there when I took the photo. I also have no idea why the MandelbrotBC1 draws a picture of the fritzle. I suppose it's a case of fortuitous synchronicity, but whatever it is, the image is there, and it has been declared FOTD for May 12th. The formula behind the fritzle is Z^1.5+C, calculated far, far down the logarithmic spiral. The fritzle is filled with hard-to-find midgets, which I did not zoom in on, since the fritzle itself, even without a midget, is good enough. And I can always bring up one of the midgets tomorrow if the mood strikes. I named the image "Fritzles in Sight" more as a caption than a title. I rated it a 5 because I miss a midget at the center. The fritzle renders in just under 3 minutes. It will appear in even less time for those who download the GIF image from: The weather today was a bit warm, but the humidity was low, making for a pleasant May afternoon. The fractal cats enjoyed the 88F (31C) temperature by spending the afternoon in the grass. I'm now going to spend the rest of the evening doing nothing but watching the water go down the drain. Being water, it has no knowledge of the direction of the earth's rotation, and goes down turning in whatever direction it chooses. Until tomorrow, take care, and don't get dizzy watching the water. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fritzles_in_Sight { ; time=0:02:55.92--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=b
center-mag=+0.73591549295774630/-0.183648225469727\
60/5333.333 params=1.5/0/-81219/0 float=y
maxiter=2000 inside=255 logmap=49 periodicity=10
colors=000w_`w_`vZ_uYZtXYsWXrVWqUVrTUsRTtORvLQwIPx\
FNyCMzALq9Ih8F`7CS69J56B54C68D7BD7FE8NE8QF9SF9UGAW\
GAZHBaHBeIChIClIDoNDrPIrQOmRTkSYiTagUecVi`WlXXoUXq\
RVpNSoKQmHNlDLjAJi7If6Ic6Ha5HZ5HW4GU4GR3GO3FL2FJ2F\
I2GL3HR4IY5If5Jm6Kr7Ku7Js8Jo8Jl8Ih8Ie8Ib9I`9HY9HW9\
HT9HRAGOAGMAGJAGHAJJBMLBONBRPCURCWTCZVD`WDcYDf_Eha\
EkcEneFpgFsiFujFriEohElgDifDfeCcdC`cBYbBVaBS`AP_AM\
Z9JY9GX8DW8AV8AT6BS5BR4BQ3AT79VB8XF7_J6aN5cR4eV3hZ\
2jb1lf0nj0lh0jf0he0gc0eb0c`0b_0`Y0_X0ZW0YV0WT0US0S\
Q0RP0PN0NL0MK0KI0IH0HF0FE0DC0BA0A9087066054033011h\
9eg8df8ce8bd8bc8ac8`b7_a7_`7Z_7Y_7XZ7XY6WX6VW6UW6U\
V6TU6ST5RS5RS5QR5PQ5OP5OO4NO4MN4LM4LL4KK4JK4IJ3II3\
HH3GG3FG3FF3EE2DD2CC2CC2BB2AA299198188177166165154\
04403303202101000MXVLWULWULVTKVTKUSKUSJTRJTRJSRISQ\
IRQIRPIRPHQOHQOHPOGPNGONGOMFNMFNLFMLEMLEMKELKELJDK\
JDKIDJICJICIHCIHBHGBHGBGF
}
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.
