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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: It was yet another frustrating day here at Fractal Central. I finally managed to regain access to ABPF through Mindspring-Earthlink, or whatever they now call it. But the computer that I managed to get connected is at the Fractal Central Auxiliary office, and not at Fractal Central itself. The result is that, though I will be able to once again post my FOTD discussions and GIF images to Usenet, the posting will be delayed by about 12 hours, until I arrive at Fractal Central Auxiliary. Hopefully, this unsatisfactory situation will be remedied sometime this weekend. One of these days I'll tell how something as simple as getting connected to a Usenet server became so complicated, but right now we have another fractal to discuss This afternoon, I shut off my brain and entered a few random parameters into the M-Mix4 formula. The parameters produced the mathematical expression -1*Z^(-11.1)-11*Z^(-1.11)+(1/C), which when iterated drew the parent fractal in which today's unusually striking scene is found. Since the image reminds me of the curving intricacies of baroque ornamentation, I named it "Baroque Minibrot". After studying it from both close-up and at a distance, I decided that the image rates a much-above-average 8, a rating to which very few FOTD images rise. The parameter file renders in a few minutes. Those who would rather download the GIF image from Usenet must be patient for 12 hours or so, until I get to the Fractal Central Auxiliary shop and post the image to: And the weather today here at Fractal Central was cloudy with snow and a temperature of 30F (-1C). About 2 inches (5cm) of snow fell during the midday period, which was enough to keep the fractal cats from even thinking of going outdoors. Well fractal fans, that's it for another day. It's time to shut down the fractal shoppe and think about tackling that stubborn computer that won't connect. I'm sure it's some setting that I have wrong, but I just can't find the wrong setting and tech support no longer supports the 5-year-old software. Why do I still want to use the old programs? I like their simplicity. Until next time, take care, and philosophically speaking, fractals may exist only because we want them to. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
4D-03 { ; time=0:00:37.54 -- SF5 on a P200
reset=2000 type=formula formulafile=multirot.frm
formulaname=multirot-XY-ZW function=flip/ident
passes=t center-mag=-1.11022e-016/8.32667e-017/10.4\
1667 params=0/52/0.36775/0/0.281/0.531 float=y
maxiter=3600 inside=0 logmap=yes periodicity=10
colors=000BAABWfCAACVfDAAEVfEAAFUfFAAGUfGAAHUfHAAITf\
IAAJTfJAAKSfKAALSfLAAMSfNAANRgOAAORgPAAPQgQAAQQgRAAR\
QgSAASPgTAATPgUAAUOgV9AWOgW9AXOgX8AYNgY8AZNgZ8A_Mg_7\
A`Mg`7AaMga6AbLgb6AcLgc6AdMhd8AdNid9AdOjeAAeQjeCAeRk\
eEFeSlfGKfTmfJPfUnfLUgVngOZgWogRcgYpgShhZqhUjh_rhWlh\
`siZniasi`pibtibricujdtjev<6>kiykiykjz<11>nqznqznrz<\
4>nsznsznsz<31>vzzwzzwzz<2>xzzxzzvyztwzruz<3>jmwhkwf\
iw<2>`cxZbxXbyVbyTby<9>NbzMbzMbz<2>KbzJbzKdz<4>PnzQp\
zRrz<2>UxzVzzWzz<3>Zzz_zz_zz<5>_zz_zz`zz<35>Nzz
}
frm:multirot-XY-ZW {; draws 6 planes and many rotations
;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J
;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J
a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994,
z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p2,
c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p3:
z=sqr(z)+c,
|z| <= 36 }
END 20.0 PAR-FORMULA FILE==================================
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