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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Having posted several consecutive FOTD's that were faster than the speed of light, I now post one slower than...well...a fractal cat. The slowness is a result of the magnitude of the image, which takes us into the realm of arbitrary precision math. It's a slow trip into the Mandelbrot set to the location of today's image, but a trip well worth taking, for the midget in the image is unlike any I have previously seen in a fractal as mundane as the M-set. The scene pictured in the image is located in a remote valley of the largest midget on the west branch of the filament extending from the large period-3 northern bud of the M-set. I named the picture "Papillon", which is the French word for 'butterfly'. While studying the image, I saw purple butterflies all through it, but since I have used this name several times in the past, I decided to use the French word for that insect instead. The rating of 6 is nominal. The scene displays a curious mixture of total chaos and areas of organization, which is rather unusual for at least the lower magnitudes of the M-set. A rough version of the image can be seen in 3 minutes by striking the < g > key and entering the command < mathtolerance=/1 > before running the parameter file. This will force the program to calculate the scene using conventional math. But to see the image in its fully-resolved glory, a wait of 5 hours will be required. All is not lost however, for the completed and fully-resolved image will soon be available on the FOTD web sites at: The fractal weather Thursday here at Fractal Central was once again warm and humid -- the kind of day that brings out the laziness in cats. The temperature of 95F 35C kept the not-very-dynamic duo confined to quarters until the sun went down, and even then, they ventured out only briefly. Luckily for me, modern science has provided relief from the heat in the form of air-conditioning, which I took advantage of all day as I tended to the work that needed to be done. Tomorrow promises to be a bit cooler, with at least a chance of showers, another ideal day for working. So until next time, which will arrive on Sunday the 18th, take a moderate amount of care, but not so much care that life ceases to be fun. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Papillon { ; time=4:56:06.77--SF5 on a P200
reset=2002 type=mandel passes=1
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58618804789e-016 params=0/0 float=y maxiter=30000
bailout=6 inside=0 symmetry=none periodicity=10
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lAWh9_e8cb7g_Dd`JbaO_aUYb }
END PARAMETER FILE=========================================
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