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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: (It is widely believed that good things, [and bad things also], come in groups of three. Today we have the second 8-rated image in a row. Hopefully, the saying is right and tomorrow's FOTD will also rate an 8.) Many things come on a half-shell. Oysters and Venuses are just two of them. And as today's image shows, fractals also can come on the half-shell. Today's image shows a scene in fractal-land, where a midget is surrounded by half-shells. And some of the half-shells are only half there, which makes them quarter-shells or "Half-Half-Shells", which explains the name I gave the image. The formula of the image is totally whimsical, as can be confirmed by checking the parameters. These random parameters draw a parent fractal shaped like an oversized figure 8, which needs an outzoom before it fits on the screen. This figure-8 fractal is actually a grossly distorted Mandeloid rotated 180 degrees, with East Valley on the west side of the main bay. Today's scene is located rather deep in the chaos of the southern shore of this valley. The coloring makes more of the scene than it is actually worth. The rating of 8 owes about 3 points to the colors, which are due more to chance than any effort on my part. The parameter file runs in 1/2 hour on my old machine. This is slow, but not too much work for such a highly rated image. The simplest way to see the image is to download it from one of the FOTD web sites. Those sites can be found at: It was summer in December here at Fractal Central on Tuesday. And to make matters even worse, this is the northern hemisphere, where Summer is expected in June, July, August and September. The warm sun, light winds and temperature of 68F 20C pleased the cats, who were reasonably quiet as they enjoyed the unusual conditions. The local ski resort operators are not so happy however. It is difficult to have snow with a temperature like summer. Hopefully, Winter will arrive by the holidays. It is even more difficult for Santa sleighs to be used when the ground is bare. That's the news from Fractal Central for today. I'll return in 24 hours or so with another fractal, a bit more news, and if I find the inspiration, some philosophy. Until then, take care, and find inspiration in your fractals. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Half-Half-shells { ; time=0:31:25.81--SF5 on a p200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-2.53776950877348200/-0.014009024142595\
28/12424.62/1/-67.5/-8.6408921684544282e-011
params=1.636/-0.401/0.547/1.337/0/0 float=y
maxiter=30000 inside=0 logmap=269
colors=000POfPOfQPgRQhSRiTSjUTkVUlWVmXWnYXoZYp_Zq`\
_ra`scatebugcvidwkexlfyngzoizpkzrnztoztpzoozkozgnv\
cnp_llXlfSkaPkYQiXSiXSiXTiXTiVViVXiVXiVYiVYiT_iT`i\
T`iTaiTagScgScgSdgSfgSfgQggQggQigQkgQkgPlgPlgPngPn\
gPpgPrfHtf7wg4xg4wi3wi3wk3wk3vl1vn1vn1to0to0tp0tp0\
rr0rt0rt0pv0pv0pw0pw0ox0oz0oz0nz0nz0nz0oz0nz0nz0nw\
0nt0np0nn0nk1ng3nd3na4n_6lX7iT7gQ9fNAdKCcHCaED`CE_\
9GY6GX3HV0JT0KS0KQEJPKKNSKSTMXVM_XMcYNg_Nl`PoaPtcP\
xdQzfQzgQzfPzdPzdPzcNzcNzaNxaMx`Mw`Mw_KvYKvYKtXJrX\
JrVJpVHpTHoTHnSGnSGlQGlPEkPEkNEiNDgMDgMDfKCfKCdJCf\
HCdJCcJCaKC`KC_MCYMCYMCXNCVNCTPCSPCQQCPQCPQCNSDMSG\
PTJSTMVVPYVS`VVcXYfX`iYclYfo_ir_lv_ov`rv`vvaxvazvc\
zvczvczvdzvdzvfzvfzvfzvfzvfzvfzvfzvfzvfzvfzvfzvfzv\
fzwfzxfzzfzzfzzfzzfzzfzzfzzfzzfzzfzzfzzfzzfzzfzzfz\
zfzzfzzfzzfzzfzzfzzfzzfzzfzzfzzfzzfzzfzzfzzfzzfzzf\
zzfzzfzzfzzfzzfzzfzzfzzfz
}
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.
