; Date: Thu, 07 Jun 2007 21:37:53 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 08-06-07 (Mandelbrot Ringers [No Rating]) ; ; Id: <1.5.4.16.20070607214240.2b7ff71e@pop.mindspring.com> ; --------- ; ; FOTD -- June 08, 2007 (No Rating) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is more a mathematical curiosity than a work of ; fractal art, which is why I gave it no rating. When I first saw ; it, I could hardly believe my eyes. I had never witnessed such ; a gathering of Mandelbrot midgets in all my days of fractal ; exploration. (I consider myself a fractal explorer rather than ; a fractal artist.) ; ; I was astounded, but then a closer look revealed that there is ; only one real midget in the image. (It is easy to spot.) The ; other 'midgets' are ringers -- just plain holes playing the role ; of actual midgets. I immediately named the image "Mandelbrot ; Ringers". ; ; Today's image is from the same parent fractal as yesterday's ; far-better image. In fact, it is located in the much larger ; seahorse-type valley just north of the tiny valley that held ; yesterday's image. ; ; The Mandelbrot 'ringers' that fill the scene are not total ; losses. They are centers of much chaos, some of which is quite ; interesting and might appear as a source of a future FOTD. ; ; The render time of 53 seconds on a P2000 is about all the image ; is worth. The best way to see the image is to go to the FOTD ; web site at: ; ; ; ; where it is posted for near-instant gratification. ; ; Warm sun and a temperature of 81F 27C made Thursday quite ; pleasant here at Fractal Central. The fractal cats spent the ; day idling about the place. The most excitement came when a ; wandering tomcat passed by, calling for any lady within hearing. ; When they heard him, the fractal cats rushed to the window and ; wondered what the tomcat was so worked up about. ; ; My day was totally average, and this includes the fractal. The ; next FOTD, hopefully better than average, will appear in 24 ; hours. Until next time, take care, then do as you will. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Mandelbrot_Ringers { ; time=0:00:53.15-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=+0.30973458659775410/+0.249770164311793\ 80/1411.637/1/-107.5/2.67205008119830723e-012 params=-2/1.5/2/2.5/0/0/0/0 float=y maxiter=1600 inside=0 periodicity=10 colors=000I`bI`aJa`Ka`Ka_LaZLaYMaYNaXNaWOaVOaVN`UN\ _UNZUNYUMXUMWTxQcwQawP_wOZvOXvNWvMUuMSuLRuKPuJOtJM\ tIKtHJsHHsGGsFErFCrEBrD9rD8qC9pBApBBoACnADn9Em8Fl8\ Gl7Hk7Ij6Jj5Ki5Lh4Mi1Nh4Nh7NgANgCNfFNfINfKNeNNeQNd\ TNdVNcYNc`NcbNbeNbhNakNamN`pN`sN`uNZsPYrQXpRWoTVmU\ UlVTjXSiYRgZQf`OdaNcbMadL`eKZfJYhIWiHVjGTlFSmDSqER\ nERkFQiFQfGPcGPaHOZHOXHOUINRINPJMMJMKKLHKLELKCLK9Q\ AALK7GU4Bb1Ca4D`6E_8FZAGYCHXEIWGJVJKULKTNLSPMRRNQT\ OPVPOYQN_RMaSLcSKeTJgUIiVHlWGnXFpYErZDt_Cv_Bx`Cv`C\ taCraCpbCnbCmcCkcCidCgdCegAfdCdbDb`F`YGZWIXUJVRKTP\ MRNNPLPNIQLGRJETHBUF9WD7XB5Y97XA8XBAXCBXDCXEEWFFWG\ HWHIWIJWJLVKMVLOVMPVNRWMQVOPUQPUSOTUOTWNSYMS_MRaLR\ cLQeKQgJPiJPkIOmIOnJNmKMmKLmLKlMKlMJlNIlOHkOGkPGkQ\ FkQEjRDjSDjSCjTBiUAiU9iV9iW8hW7hX6hZ4gX6hW8hV9hUBh\ TChSEhRFhQHhPIhOKhMLiLNiKOiJQiIRiHTiGUiFWiEXiDZiC_\ iD`hE`gE`fF`fF`eG`dH`cH`c } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint