FOTD -- January 17, 2005 (Rating 3) Fractal visionaries and enthusiasts: Today's image is part of the fractal that results when 1/Z is subtracted from Z before C is added. The parent fractal is little more than a hyperbola symmetrical to the X-axis, with the open end on the east side. In this case the 'main bay' is truly impressive. In fact, it is quite possibly infinite. But infinite or not, its shoreline is filled with typical Mandelbrot things such as buds and spirals. Today's image lies rather deep in one of the spirals. I gave the image the rather unpleasant name of "Spinal Tap" because the elements surrounding the central midget remind me of a spine, with its loosely connected discs and bones. Unfortunately for those in a hurry, the image is a very slow one. It takes over an hour to complete on my aged unit. The dark dreary colors add little to the image, and drag its value down to a 3. When the render time is figured in, the overall worth registers a shameful 4.7. But as in most all fairy tales, salvation is at hand. The task of rendering may be avoided. The finished image will soon be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may conveniently be downloaded. The philosophy of the day appears in the philofractal version of this discussion. A cloudy cold day here at Fractal Central on Sunday, with a temperature of only 34F 1C, kept the duo safely indoors. When a few snowflakes started falling in the evening, they knew they had made the right decision. This morning is starting sunny but blustery, and even colder. I had best have the tuna ready again. As for the work, it is still a bit heavy, but I now have FOTD's in storage for the days when there is no time to do completely new ones. The next FOTD will appear on schedule right here in 24 hours or so. Until then, take care, and if you want to catch a squirrel, climb a tree and act like a nut. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Spinal_Tap { ; time=1:03:24.36--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+2.82715396322678/-0.00004849471454/1.6\ 01449e+011/1/82.5/0 params=-1/-1/-1/1/0/0 float=y maxiter=10000 inside=0 logmap=1152 periodicity=10 colors=000hOVhOViPVjPVjQWkQWkRWlRWlSWmSWmTXnTXnUXo\ UXoVXpVXpWYqWYqXYrXYrYYsYZsZZtZZt_Zu_Zu`Zv`_va_wa_\ wb_xb_xb_vYWtUSrPPpLLnHHlCEj8Ai47h68h78g88g98fA9fB\ 9fC9eD9eF9dGAdHAdIAcJAcKAbLBbMBaOBaPBaQB`RC`SC_TC_\ UC_VCZXDZYDYZDY_DX`EXaEXbEWcEWeEVfFVgFVhFUiFUjFTkG\ TlGSnGSoGSpGRqHRrHQsHQtHQuHPtGPtGPsGPsGOrGOrGOqFOq\ FNpFNpFNoFNoFMnFMnEMmEMmELlELlELkELkEKjDKjDKiDKiDJ\ hDJhDJgDJgCIfCIfCIfCIeCIeCHdCHdBHcBHcBGbBGbBGaBGaB\ F`AF`AF_AF_AEZAEZAEYAEY9DX9DX9DW9DW9CV9CV9CV8CU8CU\ 8DT8ET8cS8GS8HR7IR7gQ7KQ7LP7MP6NO6OO6PN6QN6RM5SM5K\ I5UL5UK6UK7UJ8UJ9UIAUIBzHzPZzKUzFGFEFGEEHEDIDCJDCK\ DCLDCMDDNDDOCDPCDQCDRCDSCDTBDUBEVBEWBEXBEYBEZAE_AE\ `AEaAFbAFcAFd9Fe9Ff9Fg9Fh9Fi9Gj8Gk8Gl8Gm8Gn8Go7Gp7\ Gq7Hr7Hs7Ht7Hu6Hv6Hw6Hx6Hy6Iz6Kz5Kz5Kz5Kz5Iz5Iz4Hz\ 5Iz6Jz7Kz8Lz9MzANzBOzCPzDQzEKzFKzGKzHKzIKzJKzKKzLK\ zMKzNKzOKzPKzQKzRKzSKzTKz } frm:MandelbrotMix4 {; 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, 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=========================================