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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's unusually slow image takes us deep into the southern shore of the west branch of the north valley of the cubic Mandelbrot set. This valley is the analog of Seahorse Valley of the classic quadratic Mandelbrot set, though the elements are arranged in powers of 3 rather than powers of 2. The image is very slow because of the unusually high maxiter of one-million. Such a value seems excessive, but it is necessary to fully resolve the cubic midget at the center. I named the image "Cubic Revelation" because I was surprised at the detail lurking in the valleys of the cubic M-set. The rating of a 7 seems appropriate for such a surprising fractal. The downside is the render time, which is almost 2 hours on my tired old warhorse computer. A SOTA machine will calculate the image in under 1 hour, but I still recommend saving time and energy by downloading the finished image from the FOTD web site at: Cloudy chilly weather here at Fractal Central on Saturday did not annoy the fractal cats, who have discovered that the task of a cat in a human world is chasing and catching mice. But mice are survivors, and in the mouse community word of dangerous cats gets around fast. No mice dared show themselves in Fractal Central. The cats ended the day by the radiator, washing their faces after their evening meal. The only mice they caught were in their dreams. (Cats do dream, but they never reveal what they dream about.) My day was uneventful. The work continues at a leisurely pace, but signs are on the horizon that a big job might be in the works in about 10 days. I'll keep this in mind as I wander through Fractal Land during the coming week. The next FOTD will appear in 24 hours or so. Until then, take care, and be sometimes puzzled. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Cubic_Revelation { ; time=1:48:07.74--SF5 on a P200
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frm:MandelbrotCube {; Jim Muth real(c),imag(c)
z=p1, c=pixel+p2:
z=z*(sqr(z))+c,
|z| <= 16 }
END PARAMETER FILE=========================================
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