; Date: Thu, 09 Apr 2009 16:15:53 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 10-04-09 (Mandelbrot Ringlet [7]) ; ; Id: <1.5.4.16.20090409161622.22ff2610@pop.mindspring.com> ; --------- ; ; FOTD -- April 10, 2009 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; After all these years, an occasional trip back to that king of ; all fractals, the Mandelbrot set, always seems to yield a sur- ; prise or two. Today's scene lies far out on a filament in the ; interior of the north branch of Seahorse Valley of the large ; minibrot on the main spike of the Mandelbrot set, and after all ; this description, it's no wonder there's a little surprise in it. ; ; What I find surprising in today's image is the thin ring of ; debris surrounding the central minibrot. Normally, the ; Mandelbrot debris fields are much broader. ; ; There is not much more to be said about the image, but one thing ; virtually certain is that if this universe is limited and if it ; is the only one that exists, then this particular minibrot has ; never before appeared on the screen of a computer. By contrast, ; if this universe is infinite or if an infinity of similar para- ; llel limited universes exist, then this minibrot has appeared on ; an infinity of computer screens. ; ; Bombastic speculation aside, after not-too-careful considera- ; tion, I rated the image at a 7. Then I noticed the narrow ring ; of chaos surrounding the minibrot, and named it "Mandelbrot ; Ringlet". ; ; Despite being well beyond the range of conventional math, the ; image calculates in a not-too-slow time of 3-3/4 minutes. An ; even faster way to enjoy the image is to hop like the Easter ; Bunny out to the FOTD web site at: ; ; ; ; and gaze in awe and wonder at the already calculated image there. ; ; Thursday here at Fractal Central was much improved. Partly ; cloudy skies and a temperature of 61F 16C are hardly ideal, but ; the periods of sun came at just the right time, and the fractal ; cats had a very pleasant day. ; ; With a customer who was unhappy when we gave him what he asked ; for and he saw that it did not work, my day was not so pleasant. ; But that's how it goes sometimes. Tomorrow however should be ; better, permitting more time for a better FOTD. Until next ; time, take care, and though the commandment says 'thou shalt not ; steal' I also hear that God helps those who help themselves. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Mandelbrot_Ringlet { ; time=0:03:44.66-SF5 on P4-2000 reset=2004 type=mandel passes=t center-mag=-1.7693\ 815837260665074818/0.00428779035481775236759/1.434\ 916e+017/1/-122.5/0 params=0/0 float=y maxiter=1200 bailout=25 inside=0 logmap=189 colors=0009Cb8Ee7Fh7GkEHnKIqQJtWKw_NzZQu`Vr_Yng`ki\ egjhdcP2fYEheQkmaWFl`Qmd`mikmmumhlfdc__VTWMMRDFKAX\ L8RM7LM6FN59EDAUU8UU6UU4UU3SVBUTCVRCXPDYOD_MD`KEbI\ Ef85iKElQNsZWAzzDzzGfzIYzLPK7jmH70NGBSPMXYXafgkmwf\ oqaplXrgSsbNuYJvTRjUZZUFoFGmIHkLIiOJhQKfTLdWMbZN`a\ O_cNefMjiMplLuoLzrNyjzzbzzVizNczFUz7lQVnRUoRUqRUrR\ UtSTuSTwSTxSTtRWpQZlPaiOdeNgaMjZMlXOlVPlUQlSRlQSlP\ UlNVlLWlKXlIYlHZlJWgLTcNQZPNVRLRSHOTELUBIV7FW4CW1A\ X5JY9SZC`_Gi`Kr`NzRSwIWt9_q0cnIRd_EVq1Mn6PlBSjGVhK\ XeP_cUbaZe_bgXgjVlmTqpRurUsqWrqYqq`opbnpdmpbnpaop`\ pp_qpZrpYspXtpVupUvpTwpSxpRypQzpPzpQwqRtrRqrSosTls\ TitUgtUduVauW_vWXvXUwXSwZTu`TtbTscTreUqgUohUnjUmlV\ lmVkoViqVhrWgtWfvWewWdhZgUajGdmHejIfhIgfJhdJibKi`L\ jYLkWMlUMmSNnQNnOJoYGpfJqgkrQMshztezubzv`zwYzxWzyT\ zzDzzIzzMzzRzzuzznzzgzz`zzVzzTzzGzzKzzOzzSzzWzz_Hz\ qGziFzbEzVDzOCzGoz_Bz9AzA } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint