; Date: Fri, 04 Jul 2008 21:29:18 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 05-07-08 (Pancake With Syrup [6]) ; ; Id: <1.5.4.16.20080704212932.2b973860@pop.mindspring.com> ; --------- ; ; FOTD -- July 05, 2008 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; With today's image I introduce the ultimate, final, absolutely ; last version of the DivideBrot series of formulas -- version ; number 5. It draws the same images as version 4, but with two ; minor changes. ; ; I have added a value of 0.00000000000000000001, or 10^-20, to ; the imag(p1) parameter. This insignificant addition avoids a ; blank screen when the parameter is set to zero, and has no ; effect on the calculation time or image. I have also elimina- ; ted the real(p2) parameter and inserted a hard-coded bailout ; radius of 1,000,000, which eliminates the need to raise the ; bailout as the imag(p1) parameter is increased. The result is a ; simpler formula with less chances for mistakes. ; ; I named today's image "Pancake With Syrup". (The syrup is ; blueberry flavored.) I rated it at a 6, which indicates that ; I do not consider it anything out of the ordinary. ; ; The magnitude of the image is large enough to make the math- ; tolerance entry necessary. This assures that the parameter file ; calculates at the correct magnitude. ; ; The parent fractal is another almost-Mandelbrot set, with ; today's image located on a spike on the northeast shoreline of ; the main bay of the large midget on the negative spike of the ; parent M-set. As is true of many almost M-sets, the main bay as ; well as the buds are filled with tiny bits of debris, which ; prove to be entire universes when enlarged. ; ; The calculation time of only 42 seconds exceeds the speed of ; light, showing that the theory of relativity is flawed. The ; completed GIF image is available on the FOTD web site at: ; ; ; ; While we were relaxing in our lawn chairs this afternoon, FL ; casually asked me whether I believed in science or religion. ; Not being in the mood for philosophical rambling, I replied that ; I believe in both of them, since both science and religion are ; real. This reply saved a lot of words, but I'm not sure what I ; would have said if she had worded the question differently and ; asked me whether I consider faith or reason to be the the better ; path to ultimate truth. The question brought my philosophical ; muse to life however, so expect some enlightening or not so ; enlightening words about faith and reason before long. ; ; Heavy clouds and threatening rain made Friday less than ideal at ; Fractal Central. And the temperature of 73F 23C hardly felt ; like Independence Day, which is usually as hot as a firecracker. ; But it stayed dry, the neighborhood cookouts were a success, and ; the fractal cats made the most of the marginal conditions. ; ; The next FOTD will be posted in 24 hours. Until then, take ; care, and watch for runaway fractals. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Pancake_With_Syrup { ; time=0:00:42.81-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideBrot5 center-mag=-10.45034361189\ 851/+0.00241713891946783/2.225036e+012/1.001 params=6/6 float=y maxiter=1500 inside=0 logmap=105 periodicity=10 mathtolerance=0.05/1 colors=0009MUDMUHMULMUPMUTLUWLUYLV_LWaLYcK_eL`bQa`\ VaZZbXcbUhcSlcQqdOudPtfPtgPtiPtjPtlPtmUsjYshasffsc\ jsans_rnYpjUofQm`MiWIgSEgPAfM6eJ3b00A`zDYqGVhIZjLc\ lOgnRlpTprZeedVTjKGpA3qC5qD7rF9rGBsIDsJFsKGlMbfOyb\ Io_DeW8WT3NS5KR7IQ9GPBEODCNFANG8IEFDDL8CR4BXDJUMQR\ O_IQi9Sr1LpVEowGrlHuaIwSMvUPuVStWVsYYrZ`q_cp`9VhWW\ `qXUoZXm`Zka`icbgddagfWigQliLnjFql9sm4unHneUhYfbQr\ XIiXL`XNSXQJXSBXUEVWGTYIR_KPaMNcOLeQJgSHiPQaMZVKgO\ HpHFyAIiIKUQMEYPKVRPSTUPWZMYcJ_hH_YC_N8_D4VrF_ubcw\ ycCffIhhOikTkmZlocmsSQvG2vJ8vLEvNKvPPvRVvT`vUfvYko\ amiencioYmpSqqMurGxsAztFzqJznNzkRzhVzzZzzbzzazz`zz\ _zzZzzYzzzzzzzizzizzizzizzXzzazzetzfozgkzggzhbzhZz\ i`ze_zf_zfZzfZzg8z0Dz7IzDNzKSzQXzXazbezhXzdPz`GzX8\ zUCzTGzSJzRNzRRzQUzPYzO`zOezQizRmzSbzWTz_Jzc9zfNz6\ TzIYzUUzPRzKOzGLzBIz6Fz2JzBNzKRzTVzaZzjMzjOzhQzeSz\ bUz_WzYazUgzR8zb4zd0ze5zb } frm:DivideBrot5 { ; Jim Muth z=0, c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint