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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The fractal image for today shows a mini Mandelbrot midget sitting in the middle of a star burst. The star burst is located deep in the fractal that results when 11 parts of Z^(-1.7) are subtracted from 11 parts of Z^(-1.5). The parent fractal of today's scene appears as a split Mandeloid with X-axis symmetry, rotated 180 degrees, with its head facing east. From each of the two buds an area of chaotic lace-like filaments extends outward. Eventually, these chaotic areas collapse into single discontinuous filaments, which then loop around and join each other far to the east. Today's scene lies near the point where the northeast area of lacy chaos degenerates into a single filament. I named the image "Mandelbrot Star-Burst", though due to the 18-letter limit to Fractint parameter file names I had to drop the 'star' part. After some intense consideration I rated the whole thing at a 6. I guess it's a bit above average. The attached parameter file not only supplies data, it can actually be run to reproduce today's fractal image. The time required is 5-1/2 minutes. And those who enjoy the internet will soon find the image posted to Paul's web site at: The fractal weather today (August 10) once again featured 99F 37C heat and tropical rain-forest humidity. Sharp showers with some thunder fell through the late afternoon, but this merely steamed things up even more. The fractal cats, established in their summer mode, did nothing but eat and sleep. As for myself, the heat and humidity still prevails this morning (August 11). It's a good enough excuse to spend the day doing nothing but relaxing and thinking deep, meaningful, enlightening, philosophical thoughts. The clone issue supplies enough material for even a non-materialist like myself. I'll return in the allotted time with another fractal and maybe a few of those deep thoughts I'm going to spend the day thinking. Until the moment of my return, take care, and don't get cloned. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Mandelbrot_Burst { ; time=0:05:36.86--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+3.93771531616150700/+2.923195519588176\
/1.691665e+010/1/59.999 params=11/-1.5/-11/-1.7/0/0
float=y maxiter=1000 inside=0 logmap=106
colors=0000O00N00M00L00K00J00I10H30G40F60E90DA0CC0\
BD0AF09G0DJ0JM0OP0SS0YV0aY0f_0li0ps0rz0xz0uz0tz0qz\
0pz1mz4lz7gzAdzD`zGXzJSzMOzPJzSFzTCzYIzaOzdTvi_pld\
lpjgspcxvYzzTzzPzzLzzOzzPzzQzzSzxTzuVzrXzpYzm`zjaz\
gczddzafz_gzXizVjzTfzTczS`zSYzQVzQQzPOyPLxOIvOFuOC\
uOFvMIvMLxLOxLPyJSyJVyJYzI`yFjzIazGdzGgzFjzFmDz0Gz\
0Iy0Lv0Mu0Pr3Qp6Tm9VlAYiD_gGadJccLfaOg_QjYTlVVoTYp\
Q`sPcuMdxLgyIjzGmJDzPFzTFzYFzaFzfFzlFxpFuuFsyFpufs\
vcrvarx_rxYryVpyTpzQpzPpzMozLozIozGo`TTcSXfQYgP_jO\
`lOaoMcpLfsJguJixIjyGlzFm_jg`iiagicfiddifcjgaji`ji\
_jjYjlXlmVloVlpTlrSlsQmsPmuOmvMmxLmyJozIozGozFoJf6\
Md9PcCQaDT`GV_IYYL`XMaVPdTQfSTiQXlPYmO`pMarLduJfxI\
iyGjzFm0d06g9IaITXQfQ_rLg4fYPmciXi0`j1XlCTlOQmYOmi\
LosIouozvdzxXvyOrzazz`zz_zzYzzXzzVzzTzzTzzSzzQzzPz\
zOyzMxzMvzLuzJszIrzGpzFozv0zs0zp3zo6zl9ziCzgFzdIza\
Lz`OzYSzs3zp1zm1zj0zg0zd0
}
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.
