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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: What do you get when you take Z^(-1.2) add Z^(-2.3), multiply the sum by -24 and finally add 1/C? Why a basket of shrimp of course. Now I realize that a basket of shrimp is one of the least expected things to come from a fractal formula, but what can I say? -- the shrimp are in the picture, and I can't deny the evidence of my own eyes. True, it takes a bit of searching to pick out the shrimp, but like those dirty words and pictures subliminally embedded in commercial advertising, once they have been found, the shrimp become glaringly obvious. (Hmmm . . . I feel like making a quick run to the seafood restaurant a mile or so down the road.) Because of all the shrimp in the area of the midget in today's FOTD picture, I named it "Shrimp Festival". It's a different kind of name, having none of the usual fractal connotations. IMO, the artistic quality of today's picture is a come-down from yesterday's. I could honestly rate the effort at no more than a 5. The parent fractal is an indescribable thing with smooth outer edges and fractal debris filling the interior. An obvious bit of Mandeloid stuff surrounds a bay on the south edge of this interior debris. The scene of today's image lies in the second valley of a side bud at the edge of this bay. At a render time of 11 minutes, the parameter file is too slow to be practical. Therefore a download of the GIF image file is strongly recommended. That download may be found on the Usenet network, posted to the binary group: The fractal weather continues unsettled, with a very heavy thunder-storm overnight being followed by another one this afternoon. We have now received over 4 inches (10cm) of rain in 24 hours. The fractal cats are getting shell-shocked. At least the temperature is about as cool as it ever gets here (the northeast corner of Baltimore, Maryland, USA) in July, with the thermometer struggling to reach the mid-70's F (mid-20's C). And I'm struggling to get the next round of fractal-oriented philosophy started. Unfortunately, I had no luck today, though I'll try again tomorrow. Until then, take care, and keep your fractals dry. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Shrimp_Festival { ; time=0:11:11.51 -- SF5 on a p200
; Version 2000 Patchlevel 9
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.5631088685160116/-0.303287451331795/1.\
818684e+010/1/80 params=1/-1.2/1/-2.3/-25/0 float=y
maxiter=1500 inside=0 logmap=216 periodicity=10
colors=000vqz<3>vpzvozvqzvnzmlzunzupzumznmzulznlyulx\
qkwukwukopgfkccf`_aTXXQTSKQNIMIFJBCFDBGEDGGFGHMG<3>N\
TGOVGQXGRZGS`m<4>SZmSYmSYm<2>SXmSXmSWk<4>SUaSU_SUY<3\
>SSQ<3>SRSPQV<3>`TLcTIhUGmVDrVBwW8zT3wW6rZ8maBhcDefF\
aiIZlKXpN<21>NMJMLJMJI<2>KFIKEIL5E<3>JKMINOIRQHVR<24\
>ND`NC`NBa<3>O8bM7d<18>`BNaBMbCL<3>eCHmDGwDFzDEzDDzD\
A<3>zDGzDIzDJzDLzFMwGO<3>cKUZLVUMWPNYLOZ<3>ESdCTfBUg\
<2>6Xl4Ym2Zp<14>Cm`Dn_EnZ<4>HtUIuTIvS<3>LzOJzK<3>NzP\
OzQPzRQzS<6>RzT
}
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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