Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal results from a formula that adds a large negative portion of Z^(-1.2) to an even larger negative portion of Z^(-3). Once again I cannot call it a classic FOTD, because the outside consists of tdis bands. This new outside coloring option colors pixels according to the total distance traveled by the orbit, and appears as though it might be quite useful. I named the very fast image "Corn-cob Minibrot" because the bright yellow kernels surrounding the midget remind me of kernels of corn on a corncob. The rating of a perfectly average 5 fairly accurately reflects my opinion of the day's effort. The parameter file renders in under 2 minutes, fast enough to make a download superfluous. But for those who would still download the finished image, it may be found on the web on Paul Lee's web site at the URL: The FOTD images will not be posted to Usenet until I get the new enlarged Fractal Central up and running in a month or so. The fractal weather today was very windy. The sun and temperature of 46F (8C) were pleasant enough for the duo of fractal cats, but the high winds gusting to near 50mph (80kph) kept them hiding indoors. The philosophy smouldered all day but did not ignite. I'll give it another try tomorrow. Until then, take care, and what is a fractal? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Corn-cob_Minibrot { ; time=0:01:47.27 -- SF5 on a P200
; Version 2001 Patchlevel 5
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+9.4286289565161110/-5.0938442055086210/3\
.397323e+008/1/-47.5 params=0.3/-1.2/11/-3/-2400/487
float=y maxiter=1500 inside=0
outside=tdis logmap=yes periodicity=10
colors=000Eb6kqSeuN`xJ<7>UuTTuUSuV<3>PtZ<2>U6d<9>TAk\
TBkTBl<3>TCn<3>BgW7oSApO<3>LqB<8>GiCFhCFgC<2>DdCDdCB\
WI<2>57Y<3>7N_7R_7V_<3>8i`<4>AkRAkQAkO<2>BlIBlHEjJ<8\
>XZZZY``Xa<3>hShacVVnI<4>dL8fF6g95C7o<2>lq3<3>LbTE__\
7We0Tk<9>COKENHFNF<2>IL6JL4INEHPOGRY<5>QGRSEQUDP<2>Z\
7M_6LZBR<3>XVlX_q_`k<3>idPkdKleQ<3>nii<4>djgbkg`kg<3\
>Ukf<3>ROWRIUXPP<3>tp6yw2`q6<3>tE9x59t9B<3>gPIcTJ`XL\
<3>OlR<4>eQchMelHh<3>y0q<2>dvl<3>_egZaeYYdXUcWQb<5>O\
XTNYRMZQ<3>HbKUhUemb<8>Hc9
}
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.