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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's routine image gives the impression of a gala festival, with brightly colored balloons and streamers hanging everywhere. I named it "Feste Fractalis", which, if it actually is a phrase in some foreign language, is purely accidental. The work of fractal building was accomplished by taking 0.8 parts of Z^(-1.5) and subtracting from it 0.8 parts of Z^(+1.5). Then (1/C) was added. The resulting fractal consists of a large mass of chaos with a skewed Mandeloid near its center, the whole area surrounded by satellite Mandeloids. Today's scene is located in the Seahorse Valley area of one of these smaller figures. The small Mandeloid that holds today's scene appears to be on the verge of vanishing beyond an escape radius, even though other Mandeloids exist farther from the origin. With an unexpected pile of work coming in, I had too little time to search for the best coloring, and had to settle for the palette in the image. I am sure that better coloring is possible for this image, which is why I rated it at a run-of-the-mill 5. The 3-minute render time is acceptable; the download of the completed image is more acceptable. The download will soon be available on the WWW at: The fractal weather Monday was rather foul here at Fractal Central, as heavy clouds, a chilly temperature of 50F 10C, and occasional light rain kept the dynamic cats indoors most all day. As expected, their moods suffered, and a treat of tuna was necessary to restore their good spirits. This morning it's cloudy again, and rain is threatening. It will be another bad day for the duo. For me, it will be a passable day, though not until I finish the things that need to be done. That's it for now. Until next time, take care, and long live fractals. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Feste_Fractalis { ; time=0:03:08.72--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.34804633476406880/+0.558693945664914\
30/83300.01/1/177.5/-6.90685425519532714e-011
params=0.8/-1.5/-0.8/1.5/0/0 float=y maxiter=500
inside=0 logmap=59 periodicity=10
colors=000v0awHScRLL_EMKNM4VK8UICUHFTFJTDNSCQSAUR9\
XRCNKFDDI47KA9MFBOLDQQESVGU`I3C92852528B1EG1KM1QR1\
WW1aa0gf0ml0sq0xm0coCKhOci_qjLpkMolMnlNmmNlmOknOjn\
PioPhoQgpQfpReqRdqScrSbrSjtTrvUzwUyoVxhVwaVwUVvNVu\
GVu9VsCWqFXpIYnLZmO_kR`jTahWbgZceadddebgfaigdffgdf\
jafm_fpYesVevTexReqNejKecGeXDeQAePCbPE`OGZOIXNKVNM\
TMORMQPMSNLULLWJKYHK_FJaDJcBJe99aB0ZD4`C8aBCbAGc9K\
d8Oe7Sg6Wh5_i4cj3gk2jl2hl5fl7el9clBalD`lFZlHXlJWlL\
UjMThMSfNRdNQbOP`OOZONXPMVPLTQKRQJPQHRSFSUKTWMUYOV\
_QXaSYcUZeW_gY`i_ZgaXfcVdeTcgRaiP`kNZmMYmKXmIVmGUm\
ESmCRmAPm8Om7NmAMmCMmEMmGLmILmKLmMKmOKmQKmSJmUJmWJ\
mYJmXLmWMmVNmUOmTQmSRmRSmQTmPVmOWmNXmMYmMZmLXmLWmK\
VmKTmJSmJRmIPmIOmKNmUMc_PccRccSccSccSdcSecSfcSgcSh\
cSicSjbSkaSl`SmWXoR`qMetIiwCbz6Wz1Pz3Oz4Nz6Nz7Mz9M\
zALzCLzDKzFJzGJzIIzJIzLHzMHzOGzPGzSHzVIzYJz`KzHNzF\
PzDQzCSzATz8Vz6Wz5Yz3Zz1` }
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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