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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The high point of Thursday came at 2pm when a 3-alarm fire broke out in the local animal hospital. Luckily the staff got all the animals out of the building in time, but the building is a total loss. When I told the news to the dynamic duo, they looked up and said, 'good, now we'll never have to go to that terrible place again'. Unlike the cats' trips to that particular hospital, my trips to the Mandelbrot set will never come to an end. Simply too much stuff exists to be seen there. In today's image for example, we travel to a midget just beyond the negative stem of a midget in the eastern suburbs of the prominent midget on the negative stem of the M-set. If you can decipher that last sentence, you know where today's scene is located. The rendering is boringly conventional, with equal-iteration-bands on the outside and the color 000 on the inside. The only change from the default is the bailout, which has been raised from 4 to 6. I named the image "Midget-01" more as a catalog entry than a description. After a few minutes of study, I rated the image at a perfectly normal 5. I put too little effort into creating the image and coloring it to rate the result any higher. A careful study of the image will reveal features characteristic of both the Eastern and Western suburbs of Mandelbrot midgets. Combined with the resetting of the number of elements surrounding the central midget, this is a sure sign that the midget in today's image is part of the family of a larger midget. I entered the mathtolerance=/0 parameter into the parameter file by hand to force the program to use arbitrary precision math. Though the image renders using both conventional and arbitrary math, the arbitrary math, which takes 70 times as long, results in a slightly better image. Those willing to spend 8 minutes watching the image appear can run the attached parameter file. Those with more important ways to spend their time may download the completed GIF image from Paul's web site at: The fractal weather Thursday was absolutely perfect, with a temperature of 80F 27C and a crystal blue sky streaked with angel-hair cirrus. The dynamic duo made the most of the perfection by spending the entire afternoon in the yard. They seemed not the least concerned about their doctor's office burning down. As for myself, today will seem a lot more perfect when the work is behind me. But to bring about that condition I must begin, and the time to begin is now. Until next time on the 14th, take care, and the unexpected strikes when least expected. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Midget-01 { ; time=0:07:59.45--SF5 on a P200
reset=2002 type=mandel mathtolerance=/0
center-mag=-1.74259033650061656/0.0108269125319204\
82/3.416697e+012/1/-35.0070018490356247/-0.0174293\
321394581244 params=0/0 float=y maxiter=975
bailout=6 inside=0 logmap=180 periodicity=10
colors=000KbmKakK`kKagK`fK_fKZdKYbKXbKW`JV`ET`9PW8\
MK7Ab9F`AK_COZDTYEXXGaVHfUJjTKoSLqRKgSKXSJMSJBSFJN\
CQJ8XE5cA2j63f84b95ZB6VC7RD8NF9JG9FHIDJQBLY9Ne7Pm6\
Qn7To7Vo7Zp7cp7hq7kr7ms7ot7qu7sv7uw7wx7xy7yz7zpBtl\
EqhHmcKj_OfWRcRU_NXXJ_UHbZGdcHeeHffHggHghHhiHijIjl\
IjmIknIloImpImqKlnLklMjjNjgOiePhcQgaSgZTfXUeVVdTWd\
QXcOYbMZbKYaLYaLX`MX`MX_MW_NWZNWZNVYOVYOVXOUXPUWPU\
WPTSUTPYTLaTIeSEjSBnS7rS4vS1zV4rX7k_AcaDXdGPfJIhLB\
gKCfJDfIEeHFeGGdFHdEIcEJcDKbCLbBMaANa9O`8P`8QZCRXF\
SVITULTSOUQRVPUVNXWL`XKcXIfYGiZFlZDo_Br`Au`Bq_CmZD\
jYDfYEcXF_WGXVGTVHQUIMTJJSJFSKCRL8QL5QN9RPDRQHRSLS\
TOSVSSWWSY_TZcT`fTajTcnUdrUfvUgyUhtRhpPhkNigLibJiZ\
HjUFjQDjLBkH9kC7k85ZVKMqZOoXPmVQkTRjRShPTfNUeLVcJW\
aHX`FYZDZXB_W9aYDc_GeaJgcMhePjgSliVnkYpm`qocsqfusi\
wtlxuoTvXVwVXxTYyR_zP`zNbzLczJezIgzGhzEjzCkzAmz8nz\
6hzzkzzgzwczt`zrXzoUzmTzk }
END PARAMETER FILE=========================================
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