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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Last evening I noticed a letter on the list which stated that the inability of humans to visualize dimensions higher than 3 is a puzzle only for those who believe in intelligent design. This may be true, but such believers have far greater puzzles to contend with. My favorite puzzle is how any all-knowing designer could have designed a race of humans so poorly that they found the means to destroy themselves before developing the emotional self-control to use that power in only a constructive manner. It also seems rather wasteful that it takes a person an entire lifetime to learn how to properly live his life, and then, when he has learned his lessons, to die and have no chance to benefit from the lessons he has spent his life learning. I'll not get into things such as the 11-year-old boy who was struck by a freak lightning bolt from a storm 14 miles away while playing baseball a few years ago in the local area, but I will state that any so-called 'intelligence' that would design such a flawed system is IMO unworthy of being called a man, much less a god. In a way it is far simpler to take the easy way out and believe that it is all no more than a lucky accident so unlikely as to be virtually impossible. But I just can't feel comfortable with that one-in-a-googolplex chance that we would be here, or the alternative explanation, that every universe that possibly could exist, does exist, and we quite naturally find ourselves in a universe in which our individual existence is not only possible, but an accomplished fact. The answer is most likely something like the fourth dimension, something that, at our present stage of development, we are unable to fit into our limited intuitive three-dimensional view of things. Now on to the fractal. . . . Today's image, which combines various unlikely negative portions of Z^(-1.4) and Z^(-14), has a certain feeling of springtime to it. Since the season here in the Northern Hemisphere is in fact spring, I named the picture "Image of Springtime". The shades of pink and white could be apple or cherry blossoms. The greens could be the newly emerged leaves. The blues, of course, are nothing but the blue of a clear springtime sky. It's a relatively harmless image, not stressful to look at, one that I have rated a 5. The render time of under 4 minutes raises the overall value to 135. The finished product is available on the FOTD web site at: Thursday was a good day here at Fractal Central. Warm sun, cloudless skies, moderate winds and a temperature of 63F 17C gave the dynamic duo a very pleasant afternoon in the yard. When evening arrived, they came inside without urging. Today promises to be even warmer. I expect another good day. The work is moderate today. Hopefully, the next fractal will be of above moderate quality. Until next time, take care, and the fractals never end. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Image_ofSpringtime { ; time=0:03:42.48--SF5 on a P200
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formulaname=mandelbrotmix4 function=recip passes=1
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60/9.037591e+009/1/-19.9987125907157584/-0.0014716\
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frm:MandelbrotMix4 {; 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,
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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