FOTD -- April 27, 2002 (Rating 5) Fractal visionaries and enthusiasts: Today's image was created with the MandelbrotMix2 formula, which is a more versatile version of the workhorse MandelbrotMix4 formula. The new formula has a new variable p4 parameter, which offers control of the starting point of Z. When p4 is set to 0,0, the new formula works exactly like the M-Mix4 formula, and has the same speed. I added the new parameter because many of the expressions I have been calculating with the M-Mix4 formula have more than one critical point, and I wanted the ability to explore these other critical starting points. So far, I have found little of interest in the other critical planes of the fractals I have explored, but the exploration has just begun, and some surprises are sure to appear. Since the p4 parameter of today's image is 0,0, the image could just as easily have been drawn by the M-Mix4 formula, which may be headed for a long-overdue retirement. I named the image "Mandel Potboiler" because, like a cheap romance novel, it is a rather pretentious image with a lot of surface sparkle but little depth. The bubble-like features also helped inspire the name. The surface sparkle gives the image a rating of an average 5; the lack of depth precludes a higher rating. The render time is under 7 minutes -- a bit slow for such an average image. But relief for impatience may be found on the web at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> where the pre-rendered GIF image will soon be posted. The fractal weather Friday here at Fractal Central was near perfect, resulting in near perfect fractal cats. With clear skies, warm sun, and a temperature of 66F 19C, the cats spent all afternoon on the porch. Tippy even started to stalk a robin that ventured dangerously close, but the bird saw Tippy coming and flew away well before Tippy was within pouncing range. Thomas watched the whole affair with interest. As for me, I've got work to do, both for money and for fun. And there's also that grass which was trimmed only six days ago but already is waving in the breeze again. And the FOTD CD also has a way to go yet. So I guess it's time to say farewell until next time, which will be here in two wags of Thomas's tail. Until the tail wags, take care, and enjoy the illusion. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Mandel-Potboiler { ; time=0:06:40.62--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=+7.67992477588323/-1.18115358183837/156\ 42.22/1/-87.5/-2.9822114222533003e-010 params=5/-1\ .321/0.5/-13.21/-1.454/525/0/0 float=y maxiter=1200 inside=0 logmap=120 periodicity=10 colors=0005zU5z95yH5xN5wU5t_5rf5pl5lh5jf5fc5c_5_Y5\ YV5US5RO5NM5LJ5IHzzJxxIwtIurItmIsjIrgIocHm_HlYHkUH\ jQHhNHjLJkILlGNmDOoARpNSr5VxVWtG_udcucfwmjwzlxujyu\ gyrfzoczkbzh_zdYzbWzZUzWSzSQzQOzONuONpNMkNMfMLaMLW\ LJSLJNJIIJIDIH8IH2HG0HG0HG0GH2EI6DJCCJGCLJAMO9MS8N\ W6O_6Ob5Sc4Wd4_f2cg1gh1kj0ok0sf2lb4gY5bU8YO9SLANHD\ ICED8G82I20J00L00M05M6ANDGNJJNQHWMEdJDmGAwD9zADzEH\ yHLwJNtMRpQVmSZkVahYddahbcl_foYhsUlwRozOrzMtwJtrHt\ lEtfCta9tW6tdCsmHswMrzQrrRrcSrQUrDUr6_f1dW4fS5gQ6h\ N9hLAjICkGElDGlAHm8Jo5Lp2Mp0Or0Qs0Rs0Yj1baAhSJmJSt\ Aay1hp9agHVZONQVHHb98j20p09h2Hb8OVEWOJdIOlAVt4_z0d\ w0gs2ho4jk6lf8mbAoZCrVEsQGtMIwIJxEMvANr9Jm9Hm9Em9C\ m99m8cz8cz8cz8cz8czCczE1mH5mJ8mNCzQEzSHzVLzZNzaRzc\ UzfWzhUzkSzlRzoQzrOzsNzuLzwJzyIzzHzzGzzEzzDzxGzoIz\ gJzZMzQOzIQzIOzGMzLlzJjzHhzGfzEdzCbzAaz9Zz6Yz5Vz4U\ z5Uz5Uz6Uz6Uz1Uz2Uz2Uz4Uz } frm:MandelbrotMix2 {; 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 20.0 PAR-FORMULA FILE==================================