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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Despite the latest flooding of the fractal basement, I managed to find a Fractal of the Day this afternoon. The image is a picture of a fairly typical midget in the southern branch of Seahorse Valley at the coordinates -0.7751187297-0.1232311722i. Why then does it not look like a midget? The reason is simple. We are viewing it from the wrong direction. Today's FOTD image is not a scene in the Mandelbrot set, nor is it a scene in a Julia set. It is a hybrid, an Oblate set determined by real(z) and imag(c), with Mandelbrot characteristics in the vertical direction and Julia characteristics in the horizontal direction. The name "Oblate" for the images sliced in this direction is of my own invention. The familiar Seahorse Valley features are there, but when seen from this odd direction, they are distorted almost beyond recognition. Also in the image is one of those narrow, straight features that I call bridges. It crosses near the top of the open area. At six minutes, the parameter file is relatively fast by recent standards. The download of the GIF image is even faster however, and may be found by going to the Usenet binary group: The fractal weather was partly cloudy and sultry today, with a temperature of 86F (30C). Two thunder-storms passed over in the afternoon, with rain so heavy that it looked like fog. The first started the flooding in the basement, the second finished the job. I have had it with water in the basement. I'm now going to relax and let the water go back down the same drain where it comes in, by itself, and do no more mud mopping until the monsoon season ends. The problem is a too-small storm drain, which backs up in excessive rainfalls. The city already knows about the situation and will replace the drain within 5 years or so, as soon as they solve the crime problem. Until then, they tell me it's God's fault for sending such rain. Meanwhile, the fractal cats are complaining about the rain also. Sorry philosophy-starved readers, there is no philosophy today unless you consider a wet basement philosophical. With even heavier rain due tomorrow, we'll probably have no philosophy then either. Until next time, take care, and whistle while you work. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
TheWrongWayFractal { ; time=0:06:33.81 -- SF5 on a P200
; Version 2000 Patchlevel 9
reset=2000 type=formula formulafile=slices.frm
formulaname=Oblate passes=1 periodicity=0
center-mag=0/0/513184.1/0.2883/0/78.728
params=-0.7751187297/-0.1232318731/-0.7751185803/-0.\
1232311722 float=y maxiter=12000 inside=0 logmap=277
colors=000VG0VG0WH0<3>_L7`M8aNA<13>cZZdZ_d_ad`cdaeda\
fdaf<2>NSfHOfCMhBLiAJlBKlCKnCKpDKpDLq<11>KNaLN_LOZ<2\
>NOVNOUMSWLVYLWZLYZfBWcFV<3>TSTQVTNYS<3>CjQAnQ7qP4tP\
2wP<5>Eh_Gf`Icb<3>PWiRUkTSl<3>`HsbFucDv<3>VDdTD_RDWR\
BT<8>FQQERQDTQ<2>9XP8ZP5`L<3>AZ`BYdCYhDYlDQZDJLBD8<1\
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3>cAK`5HY5EV4BT48SBYRIcVMcZPg<3>maC<6>ddPceRaeS<3>Zg\
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4yh4yg5zf<2>6zc6zc8zZ<2>EzM
}
frm:Oblate {; Jim Muth real(z),imag(c)
z=real(pixel)+p1,
c=flip(imag(pixel))+p2:
z=sqr(z)+c,
|z| <= 16
}
END 20.0 PAR-FORMULA FILE==================================
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