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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: OK. So today's FOTD is 8 hours late. What of it? If I needed an excuse, I would point to the small but urgent job that came in unexpectedly yesterday morning. The missing FOTD discussion is probably for the best, since I had a long statement about reality planned for the Philofractal list, which would likely have spoiled my already tarnished reputation. (After all, nothing upsets rational-thinkers more than the suggestion that the foundation of their world view, the real physical world of nature, might not be as real as advertised.) As it is, we will have no philosophy today. (It might come later.) We must settle for a brief description of today's image, which is a view in the Oblate direction of a Seahorse Valley. But it is not the familiar valley. To find today's valley we must go to the large midget at -1.75 of the Mandelbrot set and then find that midget's largest sub-midget, which is located around -1.785 of the M-set. Today's image shows a side view of the Seahorse Valley of this sub-midget. The scene was stretched in the vertical direction by a factor of 30 to bring it to its state of viewability. (Actually, this is measured by a compression factor of 0.033 in the horizontal direction.) If the image were not manipulated, we would see nothing more than a series of featureless horizontal stripes. I gave the result a rather surreal name -- "Circle with Horns". That's what I see when I look at it. I rated the image at a 5. It had far too little effort put into it to rate anything higher. Rendering the image will demand very little valuable time. The included parameter file finishes in 27 seconds. The unlucky ones with over-qualified computers can find the image on the fotd web site at: Things got unexpectedly very busy here at New Fractal Central on Friday, with a job that had to be delivered by the week-end. The fractal cats became sulky when they got too little attention. They didn't concern themselves with the mostly cloudy day and the occasional light showers. Toward sunset a perfect rainbow formed in the east, which went completely un-noticed by the duo, who were chasing each other madly up and down the long hallway at the time. In my department, the job was finally finished and delivered. And nothing more is in sight, at least at the moment. It looks like the next FOTD will appear in around 16 hours. Until then, take care, and be glad you are real. (Or are you?) Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Circle_With_Horns { ; time=0:00:27.19--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=multirot-XY-ZW-new function=ident/flip
passes=1 center-mag=0/0/1840.308/0.033 params=0/90\
/2/0/0/0/-1.78575/0 float=y maxiter=50000 inside=0
logmap=23 symmetry=xyaxis periodicity=10
colors=000QmbYnddpflrhscjlahe`gZYfTXdMXcFYe9_aFaXL\
cSMeNKcKD`EEYCERBEM9EG8EB6E65HD6JJ7MQ7OW8Qb9Th9VoA\
XuAYmDZfFZZI_SK_KN`DP`6RfDSkJTpQUuWVzaVteSnhQhkObo\
MXrKRuILxGInVFeiJfbNgXRhRViLZjFaj9blCbmEcoGcpIdrKd\
sMeuOevQ`wVWwZRwcMwgHwkCwp7wt2wx8srDplIlfNi`SeVXbP\
a_JgaLldNqfPpdRobTo`UnZWmXYmVZlU`lSakQcjOejMfiKhiJ\
ijKhjLgkLfkMfkMelNdlNdmOcmObmPbnPanQ`nQ`lRZkSXjTVh\
TTgURfVPdVNcWLbXJ`XH_YFZZDYZBZ_DZ`EZaFZbHZbI_cJ_dK\
_eM_fN_fO`gP`hR`iS`jT`jUbQSQVUDZWPTP_OJ`dV`ufKfLQw\
NCGuSPdgXOwd7wOQw8gp9Zj9Qd9HeGOfMUgT_hZekYamYYoYUq\
YQlWZgUgcTpS`hGg`4nTXR`y3gf2ZO2Q62HK8FXEEjKCwPBS_2\
EP91FGcN9R_BFkD3wE2pO2iX2bf2XoqZXRQtLpDMm_WsKTpXQm\
i__GJsWKpbLniMlpuG8iRPY`eC1_IOkzjGfja0qs6otCmuIkvp\
H0fRKX`cBdiEfmHgpKisSf4QhNOidCFvGQvK`v5nGBlVHkh`s3\
3tCApSHmgaKNUYdALQT0DRGTPWgrFEbV`JJFLTUMahuP6c_Xex\
5hDj`PnU_rdcl_eoWgqBiZJk` }
frm:multirot-XY-ZW-new {; draws 6 planes and rotations
;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J
;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J
a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994,
z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3,
c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4:
z=z^(p2)+c,
|z| <= 36 }
END PARAMETER FILE=========================================
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times.
