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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image is a different view of the same forest that held the tree which appeared in yesterday's FOTD. But instead of viewing the scene from close to the Julia direction, today we view it from the Mandelbrot direction. I named the picture "Monolith Monsters" after one of my favorite old sci-fi movies. I rated it a perfectly average 5. What once was a figure-eight edged with tree-like shapes has now become a valley edged with monolithic rocks -- a scene on an alien planet if you wish. The alien rocks, which once formed the crown of a tree, decrease in size as they fade into the distance, and the alien sky above, not quite like earth's, has an unearthly rusty tinge near the horizon. I would estimate the average temperature on this planet, which is circling an orange class-K star, to be -40F, which is also -40C. The atmospheric pressure appears to be about 250mb, 1/4 that of earth's. But unfortunately, there is no water, and life never had a chance to get started. The curious rocks have obviously been formed by volcanism, though the chemical composition that would crystallize into such strange shapes is yet to be determined. Several deep fault lines extend diagonally through the scene, and even a short way into the sky. I'll not attempt to explain how an atmosphere can support fault lines, but the atmospheric discontinuities *are* there. Finally, the trip to this exotic place takes only 2-1/2 minutes, via the parameter-file spaceship. For those without a ticket, the scene will soon be showing at the following web sites: The fractal weather today was once again perfect, with blue skies, puffy clouds, (which are also possible to create with fractals), and a very earth-like temperature of 82F (28C). The fractal cats, who really have little interest in fractals, spent most of the day on the porch, taking it easy. I've been taking it a little too easy for several days, and I now find myself with a yard of grass in need of a trimming. Oh well, there's only one way I know to get the job done -- and that's to get started. So until next time, take care, and do fractals exist on other planets? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Monolith_Monsters { ; time=0:02:36.32--SF5 on a P200
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formulaname=SliceJB-new-min center-mag=-1.14927217\
827850100/-0.00241559409796065/12578.62/1/-27.5
params=0/0/0/0/1.618034/0/0/0/0/0 float=y
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frm:SliceJB-new-min {; by John R. H. Goering, July 1999
pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1),
b=pi*imag(p1), g=pi*real(p2), d=pi*imag(p2), ca=cos(a),
cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d),
sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg,
s=v*sin(a), c=p+flip(q)+(p4), z=r+flip(s)+(p5):
z=(-z)^(p3)+c
|z|<=100
}
END 20.0 PAR-FORMULA FILE==================================
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