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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I have bad news and good news. The bad news is that due to a lack of time to do all that needs to be done at this busiest time of year, today's FOTD will be the last until January 3, 2001. The good news is that I will most certainly return in 11 days, and when I do, I will most likely have my philosophical batteries recharged. Today's FOTD will not only be the last until January 3, 2001. It will be the last of this week, the last of December, the last of the year 2000, the last of the 20th century, and the last of the 2nd millennium. The new millennium actually begins this year at midnight December 31. We're a year late because the Romans had no symbol for the number zero, and the first year A.D. was therefore called the year 1. The fractal of today was created by iterating the expression 0.33Z^(1.1)+0.03Z^(11)+(1/C), another of those totally whimsical expressions I so enjoy tapping out at random, then sitting back to see what happens. It is a particularly soft image, highlighted by arcing streaks of star-stuff. What else could I name the image but "Astara"? I rated the image a 6, mostly because it's pleasant to look at. With a run time of about 4-1/2 minutes on a Pentium 200mhz machine, the parameter file is a bit slow. Unfortunately, I still have not found the time to re-install and re-configure my backup FOTD computer to connect with Earthlink. Hopefully, when I return from my well-earned frenzy, I will have re-established my link with Earthlink. With Usenet eliminated, the easiest way to view today's image is to wait an hour or so to give Paul the time to post the image to his web site at the URL: The fractal weather today featured light snow in the morning and biting cold in the afternoon. The temperature of 26F (-3C) was far too chilly for any cats, fractal or otherwise, to be outdoors. The dynamic duo therefore spent the day stretched on the floor at the foot of the tree. And speaking of the tree, I've still got to place the final few ornaments. Until the 3rd of January, take care, and see you in 11 days. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Astara { ; time=0:04:21.78 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-5.159415014620404/-12.6983607282438/6680\
644/1/52.499 params=11/1.1/1/11/-0.87/0 float=y
maxiter=500 inside=0 logmap=82 periodicity=10
colors=000C0PA0MC0QC2SC3VC4ZC5`D7cD8gD9iDAlDCpFDrFFu\
FGyFHzFHzILvMPnQSgSW_WZSZ_LbbDdcCifD<2>tkKwmMznNzqQz\
rRzqVwpYrn_mnchlfcih_flWdnS`qPZuKVwGUzCQz8MzNNzUNz_P\
zfQylRvrSrySpzSlzSizPnrKrfFvW9zH4z90zC5zDCwFIrHNmIUh\
K_bMdYNkSPqNQvIRrK<3>WhNYfNZgLZhI<2>ff5hf0kd0ld0hh2f\
lAcnK<2>WyhUzqRzzPzzUzzYrzbkzfcyiWwnPurHrw9qz2nz0mz0\
ny0pu0qr0rn0tl0uh0vf0wb0y_0zW0zU0zS3z<2>RGvRLuRPr<3>\
QfmUifWl__ib<4>l`hnZiqYktVlvUmyRnzQpzNqzMrzLtzKkvIb<\
2>cHCdFAdD9fC8fA7g95<2>h53i42i30i20k50<3>kK0kN0kQ0kU\
0kY0k_0cb0Wd0Pg2Hi49l72n8<2>AnLDnPGnSKnW<2>RngUnkYnn\
<2>dnzgnzfizdfz<2>cVvbRu`Nt`Iq_Fp_AnZ7mY3lY0kW0iW0hS\
0fP9dLIcHRbDZ_9gZ5pY2yW0zV0zY5zSDzNLzKSzF_zAgz5nz2vz\
0zz0zz0yz0<3>pz0mz0kz0hz0gz0<3>Yz0Wz0Sz3<2>LzAIzFGzH\
DzK9zM<2>2zV0zY0z_0zbDzR
}
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.
