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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: After posting yesterday's X-rated fractal image, I felt the need for repentance. I repented with today's safe-for-the-children image, which has nothing off-color whatsoever in it, and which I named "Full Repentance" to show that I am truly repentant. The picture rates a 7 -- a vast improvement over yesterday's X-rated effort, but then anything would be an improvement over yesterday. The image is a scene in the second version of the 'parent' fractal. Its location is deep in an inconspicuous bay to the lower right of the 'fan'. A midget does lie at the center of the frame, but the depth at which I calculated the image is the point of best artistic worth. It's a broken-up scene, with lots of holes surrounding a central midget, which of course is invisible. The holes are arranged into orderly patterns, which, aided by the coloring, gives a good 3-D effect to the picture. Unfortunately, the parameter file is another slow one, making the trip to Usenet at: The fractal weather today was partly cloudy and 80F (26.5C) -- perfect conditions were it not for a sudden mid-afternoon shower, which sent the fractal cats scurrying for cover, and turned their good mood sullen. Yesterday I promised to post much philosophy today, but I just didn't have time to finish editing the philosophical article, which was far too long-winded. I did edit it down to almost half length today, but it is still a rambling, repetitive 4-1/2 pages and needs yet more editing. Also, I'm not in the mood today to take another poke at science. So I'll let the article sit and ripen for another day or two before making it public. As for myself, at this time I'm going to call it a night and probably tune the TV to the ball game. Until next time, take care, and I really do enjoy science. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Full_Repentance { ; time=0:37:41.78 -- SF5 on a P200
; Version 2000 Patchlevel 14
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-1.528451049282987/-2.380077835990013/4.9\
03816e+010/1/-6.977/-0.598 params=-1/-11/-11/-1.08/0\
/800 float=y maxiter=1500 inside=0 logmap=204
periodicity=10 colors=000LUhKVjKVkKWlIYnI_nI`oH`qHar\
HcsFduFewFewCdrAcn9aj<2>4_Y2_U1YP0WL0VH0VC0U70S20S00\
S1<3>US7`S9gSAnSCuNEzSFzSHzPFzMFyLFwIFsFFrEFoAFl9Fj6\
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9MM<3>9MS9MU9MV6K`4He2Fj1Co09s07y04z01z00z69zIIzVRze\
YzgVzhUzjRzkPwlMsoKoqIlrFhsEeuAaw9_u7Ys7W<2>r6Sq6Rq4\
Po4Pn4On2Ml2L<2>k1Hj1Fj1Fe2Kc4M`6PW6UU7WR9_MAaKAeHCh\
CEk9Fn6Fr1Hu0Ix0Iz9HrLHkWFdgFWrEPzEIYee0zz4zz9zzEzzI\
xzLwz<2>Yqzaozdnz<2>qhyugyxeyYxn6zd4ze2zg1zh1zj0zk0z\
k<3>0zq0zr0zr6yuIrxVlyeezq`z<3>VPzPMyKKy<2>1Cx0Ew0Ew\
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<3>0n00r00u00y0<3>0z01z69zCHxHIsK<2>MgOOcPP_S<3>VIY\
<2>FRP9UM2WK0_H0OA0C6011MPS<2>MP`MPcMPdLReLSg
}
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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