; Date: Fri, 01 Feb 2008 19:30:44 -0500 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 02-02-08 (Deep HyperRadical [9]) ; ; Id: <1.5.4.16.20080201192050.0d1f50ae@pop.mindspring.com> ; --------- ; ; FOTD -- February 02, 2008 (Rating 9) ; ; Fractal visionaries and enthusiasts: ; ; Unless I have an operational time machine hidden in the garage, ; the year it was 24 hours ago is, always was, and always will be ; 2008. But old habits are like old fractals. They die hard. ; ; Today's image takes us to a bud on the north shore of HyperEast ; Valley. I named the image Deep HyperRadical because it sits ; deep in the interior of the bud, and buds, along with their ; associated elements, are sometimes called radicals. This parti- ; cular bud is a very tiny one with a very high periodicity, which ; lies comfortably between much larger buds of much lesser periodi- ; city. I have no idea why today's image, which lies inside this ; tiny bud, should appear to have a cycle of 6. ; ; Yes, there are more unusual scenes of varying cycles lying as ; deep as it is possible to go into the center of today's image, ; and likely extending to infinitesimal infinity. These scenes ; are not mere boring fractalish repeats of the top scene. Each ; level has a character of its own. ; ; The maxiter of today's image is an arbitrary choice. As the ; maxiter is increased, the open areas with the twisting greenish ; arms gradually fill in, until ultimately they are filled solid ; with fractal debris. ; ; In my opinion, the image rates an honest 9. It is worthwhile ; artistically and interesting mathematically. And its calcula- ; tion time of 3 minutes is not bad either. Of course, for extra ; convenience, the finished image is posted on the FOTD web site ; at: ; ; ; ; Absolutely miserable weather prevailed here at Fractal Central ; on Friday. The day began with one inch, or 2.5cm, of sleet on ; the ground. The sleet changed to freezing rain by 9am, and it ; rained steadily for the rest of the day, while the temperature ; slowly rose to above freezing by afternoon, leaving an inch of ; heavy wet slush everywhere. The fractal cats watched from the ; front window shelf as I squeegeed away the sloppy mess by hand. ; ; The rest of my day was easy enough, though a small but hurried ; design job is expected tomorrow. The next FOTD will appear in ; about 24 hours. Until then, take care, and is the Mandelbrot ; set infinite or half infinite? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Deep_HyperRadical { ; time=0:03:13.47-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot2 passes=1 center-mag=+0.2689640429736179/+0.005486652797290\ 472/5.9811e+007/1/105/0 params=0/0/0/0/1/0/1e-100/0 float=y maxiter=1900 inside=0 periodicity=0 colors=000hzRizQizPizPjzOjzOjzNkzNkzMkzMlzLlzKmzKm\ zJmzJnzInzInzHozHozGozFpzFpzEpzEqzDqzDqzCrzCrzBszA\ rzBrzCrzCqzDqzDqzEqzEpzFpzFpzGpzGozHozHozIozInzJnz\ JnzKnzKmzLmzLmzMmzMlzNlzNlzOlzOkzPkzPkzQkzRjzRjzSj\ zSjzTizTizUizUizVhzVhzWhzWhzXgzXgzYgzYgzZfzZfz_fz_\ UzKWzRXzXZzc_ziazpbvvVruNntGjtFfsGMeHNhIOkJPnKQqLR\ tMSwNTzAAA3F8CH9KH9NH9QHATHCWHDZHEaHFdHGhHHlNFpTDt\ `AwfKtiUqlcynmzpzzrzztzzvzzxzzzzezSdzXcz`cRdMqKMqK\ MqJMqJMqIMqIMqIMqHMqHMqGMqGLrFMqGMqGNqHNqHNqIOqIOp\ JPpJPpKPpKQpLQpLRoMRoMRoNSoNSoOSoOTnPTnPUnQUnQUnRV\ nRVmSWmSWmTWmTXmUXmUYlVYlVYlWZlWZlXZlX_kY_kY`kZ`kZ\ `k_ak_ak`bj`bjabjacjbcjbcjcdicdideideieeiefiffhfgh\ gghgghhhhhhhiigiigjigjjgkjgkjglkflkfmlfmlfnlfnmfom\ eonepnepneqoeqoerpfsoernernermdrmdrldqkcqkcqjcqjbq\ ibphbphapgapQEzZQugapnpgooipnkpmlqlnrkprjqsisthuuh\ ythwthvthtshsshqshprgoqgo } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint