|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: With today's image, we rise out of yesterday's abyss. Today's image resembles a something -- I am not sure what -- but while studying it, searching for a name, I had the impression of the sun during a total eclipse, with the arcing colors surrounding the central circle being the coronal loops. True, the central circle with its horizontal stripes bears little resemblance to the black disk of the new moon, but with a bit of imagination, the resemblance to the eclipsed sun with its coronal streamers is there. Yes, I have noticed the area at the bottom of the striped circle, which looks suspiciously like a midget. Since July is quadratic midgetless month, this object, if it is in fact a midget, has no right to be there. But it is so unobtrusive that even if it is a midget, it does not violate my pledge to have no more midgets in July. Perhaps I'll investigate this area after the end of this month, when quadratic midgets will once again be permissible. The formula behind today's image is number 13 in my series of 14 MandNewt formulae. Some of the image is outside material, some is inside colored by the bof60 option, and some is open inside, which should be colored by the inside fill, but for some reason is not. Turning on the logmap adds color to the black areas of today's image, but I like it better the way it is. After a short period of pondering, I named today's FOTD "Corona", and rated it at a 7. And seven minutes are required to render the image from the parameter file. The image will also soon be available in GIF form on the Web at: The fractal weather today was once again perfect, with blue skies, puffy white clouds, and a cat-pleasing, wading-pool-splashing temperature of 86F (30C). Unfortunately, we've now come to the end of another FOTD, but additional FOTD's are lined up into the indefinite future, and the next one will appear within 24 hours. Until that golden moment arrives, take care, and fractals are as real as we consider them to be. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Corona { ; time=0:06:56.06--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandNewt13 passes=1
center-mag=-44.5237/0/0.01512924/1/-90
params=-1.413/4.324/4.275/-2.475/1.797/4.89
float=y maxiter=140 inside=bof60 periodicity=0
colors=000GluGkuHjtIitIhsJgrKfrLeqLdqMcpNboNaoO`nP\
_nQZmQYlRXlSWkSVkQWjPWiNWhMWgKWgJWfIWeGWdFWcDWcCWb\
AW`9W`8W`CWZGWYKWWOWVSWUWWS`VRcUQhSOlQNpNMsKKvGJxE\
IyHJyJJyMJxOJxQJwSJwUJvWJvYJu_JuaJtdJtgJsjJsmJrpJu\
qIrqJrpKqoKqmLpkMpjMphNofNoeOncPnaPm`QmZRmXRlWSlUS\
kSTkRUjPUjNVjMVhNWgNXfNYeNZdN_bO_aO``Oa_ObZOcXPcWP\
dVPeUPfTPgSPgQQhPQiOQjNQkMQlKRlJRmIRnHRoGRpESpDSqC\
SrBSsASt9StARtAQtAPtAOtBNtBMtBLtBKtCJtCItCHtCHtFJq\
IKnKLlNMiPNfSOdUPaXQZZRXaSUdSMcTScUXcVabWfbXkbYpaZ\
ua_za_zbZzcYzcYzdXzeXzfWzfWzgVzhUziUziTzjTzkSzjRzk\
SzlSzmSzmSznSzoSzpSzpSzqSxrSwrSusSstSruSpuSnvSmwSk\
xSixShySfzSdzR`zSazSbzScySdwSdvSeuSfsSgrTgpThoTimT\
jlTkkTkiTlDdzDdzCezBfzBgzAhz9iz9jz8kz6jz8kz9kzAlzB\
lzCmzDmzEnzGnzHozIozJpzKpzLqzMqzNqzPrzQrzRszSszTtz\
UtzVuzXuzYvzZvz_wz`wzaxzbxzbzzcxzdwzdvyeuyftxfswgr\
whqvhpuinujmtjlskksljrliq
}
frm:MandNewt13 {; Jim Muth
z=g=pixel, a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), e=real(p3), f=imag(p3):
h=z^a+(g-b)*z-f
j=c*z^d+g
z=z-e*h/j,
0.000000000000000000000000000001 <= |h|
}
END 20.0 PAR-FORMULA FILE==================================
|
times.
