; Date: Wed, 17 Dec 2008 22:58:36 -0500 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 18-12-08 (The Mandelbrot Set [6]) ; ; Id: <1.5.4.16.20081217230005.2a4f1b98@pop.mindspring.com> ; --------- ; ; FOTD -- December 18, 2008 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's image shows a Mandelbrot set. The name "The Mandelbrot ; Set" is a little confusing. To begin, there is not one ; Mandelbrot set, but an infinity of them. The Mandelbrot shape ; is kind of a universal shape, much like the parabolic shapes ; that appear so often when the graphs of functions are plotted. ; ; Actually, the scene shows a tiny minibrot just east of the large ; Minibrot on the main negative spike of the Mandeloid that ; results when the familiar M-set just starts changing into the ; Z^(-2) Mandeloid. At this early stage of the changeover, only a ; few extra rings around the original M-set are obvious. ; ; Most of the effect of the image is a result of rendering it with ; the outside set to 'summ'. The apparent X-axis symmetry is an ; illusion. A close look will reveal that no symmetry exists. ; ; If I had more time to work on the colors, the image might have ; rated a 7. As it is, the predominant theme of orange and green ; is rather unattractive, holding the rating to a 6. ; ; The calculation time of a fireball 50 seconds makes up for the ; less-than-great colors. And the finished image is posted for ; instant viewing on the FOTD web site at: ; ; ; ; Two centimeters of snow overnight Tuesday changed to rain at ; daybreak Wednesday here at Fractal Central. By midday, the ; temperature had reached 37F 3C, and the snow was gone, making ; the fractal cats happier. But the cats' main interest was ; watching the squirrels, which were unusually active gathering ; nuts all day. Maybe the squirrels know something about the ; coming weather that the weather people don't. We'll keep our ; eye on things for the next several days. ; ; My day was very busy, making for another hasty FOTD. The next ; in the apparently endless series of FOTD fractals will be posted ; in 24 hours. Until then, take care, and check for reason. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= The_Mandelbrot_Set { ; time=0:00:50.66-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot6 passes=1 center-mag=-1.745\ 9134924/0/13838 params=-2/6/0.001/100 float=y maxiter=750 inside=0 outside=summ logmap=yes colors=000zZ0zZ0zZ0zZ0zZ0zZ0zZ0zZ0zZ0zZ0zZ0zZ0zY0z\ X0zW0zV0zU0zS0zQ0zO0zM0zK0tF0gA0W50L20BD06N02W09P0\ GL0NDBU9Rz2zz0zz0zz0zz0zbgzYgzzgzzgzzgzGgzBgz6IR2J\ N0KI0MD0O90Q40S00U00U00V00W00X00Y00Z00_20aD0cR0db0\ cm0cm0cm4bjD``NWRWRIeP9eRDeWIg`NgeRgjYglbjqgjvljzq\ jzvjzzlzvozqozoqxjqvettbtqYvoUxlRxjNzjIzgGzeBzb6z`\ 4zY0zW0zU0zR0zP0zP0zR0zR0zR0zR0zU0zU0zU2zU4zW6xWBx\ WDvWGtYItYLqYPqYRo`Uo`Wl`Yl`bjbejbggbjgblWe`LeR9eG\ 0e60e00e00b00b00b00b00b04`09`0G`0L`0P`0U`0YY0bY0gY\ 0oY0tY0xW0zW0zW0zW0zW0zW0zl0zz0zz0zz00000B00b00Y00\ W00U02R0BP0LN0UL0bI0lG0vD0zB0z90zG0zL0zP0xU0vY0tb0\ og2ll4jq9exzbzz`zzWzzUzzRzzNzzLzzIzzLzzLzzLzzLzzLz\ zLzzLzzLzzLzzLzzLzzLzzLzzLzzLzzLzzLzzLzzLzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:DivideBrot6 { ; Jim Muth z=(0,0), c=pixel, a=real(p1), b=imag(p1)-2, d=real(p2)+0.00000000000000000001, f=imag(p2)+16: z=z^(a)/(z^(-b)+d)+c |z| < f } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint