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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Sometimes I surprise myself at the way I find midgets in the most unlikely places. I appear to have become a specialist in finding the little things. This does not mean that I consider images with midgets (sometimes called molecules or atoms) at the center to be better in any way than fractals without midgets. I simply have unintentionally become a specialist in one type of fractal. The midget in today's scene was a total surprise. The scene is located in the 'handle' of the fan-shaped element of the parent fractal, in an area that appears to be total non-critical chaos with no chance at all that midgets could lie there. I cannot say what led me to the scene. As is the case with many of my images, I simply got a feeling, and followed my instincts. If anyone were to ask me how I find these midgets, my only answer would be 'I don't know'. Today's image rates an 8. If I had given it more effort, it might have rated a 9, which equals one of the best FOTD images of all time. But an 8 equals an exceptionally good image, and that is nothing to shrug at. When I find an (IMO) exceptionally fine image, it renews my enthusiasm. If this trend continues, I'll be searching for fractals forever. Recognizing this trend, I named today's image "Fractals Forever". Luckily, today's image renders in somewhat less than forever. It renders in 15 minutes, in fact. And even that 15 minute wait can be avoided by visiting one of the FOTD web sites at: Clouds and an unusually cool temperature of 50F 10C prevailed Saturday here at Fractal Central. The dynamic duo ventured briefly into the yard in the evening when we returned from the day's adventure and let them out, but the wet grass soon sent them back indoors, where they received their treat of tuna. Today is promising to be a repeat, with the exception that no more all-day antiquing trips are in the works. Until next FOTD, take care, and walk in peace. Jim Muth jamth@mindspring.com jimmuth@aol.com |
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frm:MandelbrotMix2 {; 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)+(p4)),
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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