; Date: Fri, 12 Dec 2008 14:53:09 -0500 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 13-12-08 (Two Into Fifteen [6]) ; ; Id: <1.5.4.16.20081212145434.2a5f166a@pop.mindspring.com> ; --------- ; ; FOTD -- December 13, 2008 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's image shows what happens when a fractal with a positive ; exponent of Z (in this case 2) starts to change into a fractal ; with a negative exponent of Z (in this case minus 15). As the ; real(p2) parameter of 0.0000001 shows, a very small departure ; from zero makes a great change in the appearance of the result- ; ing fractal. Curiously, the image is also quite sensitive to ; the bailout radius. ; ; The original Mandelbrot set is still present at the center of ; the image, but the 16 points of the minus 15 Mandeloid are ; already fully formed, symmetrically surrounding the Z^2 figure. ; ; I named the image "Two Into Fifteen" because it shows a Mandel- ; brot set already well on the way to being a Z^(-15) Mandeloid. ; There are almost certainly many interesting minibrots deep in ; today's image, which is actually its own parent fractal. I ; might search out a few of them in upcoming FOTD's. ; ; As for a rating, I decided on a 6. I really put too little ; effort into the coloring to rate the image higher. ; ; Even with the passes set to 1, the image is extremely fast, ; finishing in a mere 15 seconds. ; ; The already finished image is posted to the FOTD web site at: ; ; ; ; Friday dawned with wet snow falling here at Fractal Central, but ; with the temperature around 34F +1C, it melted almost as fast as ; it fell. A little sun peeked through the breaking clouds in the ; afternoon, too little too late to make the fractal cats happy. ; ; My day was rather busy, though not as hectic as it would have ; been if problems had come up. The next FOTD is due to be posted ; in 24 hours. A lot of graphics work remains to be finished ; however, so there is no guarantee that the FOTD will appear as ; scheduled. Until next time, take care, and shun disappointment. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Two_Into_Fifteen { ; time=0:00:15.42-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot6 passes=1 center-mag=-0.03296/0/0.295 params=-15/19/1e-007/17 float=y maxiter=1000 inside=0 logmap=yes symmetry=xaxis periodicity=10 colors=000FoctThhKzmx0hzzHcdHUYHKSJMPKONLQLNSIOUGP\ WEQYCMUKIQREMYAIdFKZKMUPOPUPKZRFcTAgU5hTMhTahTqiOs\ jJukEzl9zl4zk7zj9ziBzhDzgFzfHzeJzeLziWzmezqoztyzrQ\ z6YzJJzW4z`IzeVzdUzdTzdSzdRzdQzdPzdOzbTzaYzcUzdRzf\ NzgKzhHzdIzaJzZKzWLzSMzPNzMOzJPzIQzIRzHSzHTzHUzHXz\ p2z2Rz8SzETzKTzQUzWVzaVzgWzlWzAdzEezHezKezNezQezOX\ zNOzK_zIkzGwzSpzcizoczHUzKOzNJzQDzT8zNizRhzzhfzhhz\ hjzhkzdez``zXWzVOzTGzUUzTSzTQzTOzTNzTLzTJzSIzSGzSE\ zSDzSBzS9zbNzXFzXgzUQzSezSbzS_zSYzSVzSSzSQzSNzSLzS\ IzSFzSDzSAzUdzkgzfazaWzXQzSKzNEzI8zE2zF3zG4zH5zI6z\ J7zK8zK9zIAzGAzEAzCBzABz8Bz6BzCQzHczMqzQjzKazETz8K\ zTebmzYntUonPqhLscNudOweQxfRygSzgzzezzdzzczzbzzazz\ `zzazzbzzczzczzdzzezzfzzfzzgzzizzjzzkzzkzzkzzkzzkz\ zkzzkzzkzzkzzkzzkzzkzzkzzkzzkizkkzjlzjmziozipzhqzh\ rqhozdmzakzZizWjzXjzXjzXkzYkzYkzYkzYlzZlzZlzZlzZmz\ _mz_mz_mz_izTfzNczHczGbz7 } 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