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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Quantum mechanics has become quite trendy as of late. Those with only a layman's idea of what it is about (I am in that group) have given it almost a miraculous meaning. I doubt some way-out ideas such as the quantum world being the place where disembodied souls go after death, but one thing seems certain -- that in the quantum world that lies underneath the intuitive everyday world revealed by our senses, things are far different than they are up here. My own view is that a structure shares much of the nature of its building blocks, and therefore the objective world of material objects and energies, which is composed of quantum stuff, is not as real as it appears. This implies that, by comparison, the subjective world of thoughts and visions is not as unreal as it appears. My view is not scientific -- it is not supposed to be. It is verging on mystical. I mention all this because I have named today's image "Quantae", which I have decided is the plural of 'quantum'. I gave it this name because today's marksmandel formula does nothing more than multiply the Mandelbrot set, and today's image is one that could have been found more simply and quickly with the mandel formula. To make things as interesting as possible, I set the extra parameter to the integer 32767, which is as high as it can be set without the formulaformula defaulting back to 1. The parent fractal appears as a simple blue ring. (This ring seems suspicious. It is most likely an artifact of the math routine.) Around the interior of the ring lie 32767 identical lobes, each one containing all the detail of the Mandelbrot set. I chose to explore a lobe centered on the negative real axis. Since I found nothing new in my adventures, I could not give the image a rating. It will be forever unrated, a misplaced bit of a spurious Mandelbrot set that does not really exist. Fortunately, the unrated image renders in almost exactly one minute. With no rating, it has no absolute worth. The quantae may be seen by running the parameter file or by downloading the completed GIF image from the FOTD web site at: Sunday remained cloudy here at Fractal Central, but with a temperature of 63F 17C it was mild enough for the dynamic duo to enjoy the afternoon in the holly thicket at the bottom of the yard. I checked their whereabouts every half hour or so, and no unusual activity was ever apparent, so I assume they had a peaceful afternoon. Only a small treat was needed in the evening to bring their good day to a satisfying close. Today is starting cloudy again, but in contrast to Sunday, rain is predicted. We will see how the duo makes out. My work is light enough for me to finish early this afternoon, so it looks like a satisfying day for me also. Until tomorrow, when the next FOTD appears, take care, and watch your quantum number. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Quantae { ; time=0:00:59.96--SF5 on a P200
reset=2004 type=marksmandel
center-mag=-1.00000650079374100/+0.000003270883578\
03/2.892656e+010/1/-152.5/0.000111253639052073805
params=0/0/32767 float=y maxiter=1000 bailout=9
inside=0 periodicity=10
colors=000HpGEhEB`BAP68T8YxKUxIQwGNpEJjDFcBCY98R76\
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NIZHBSBvxEPxRQxQRxPNxMKxJ }
END PARAMETER FILE=========================================
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