FOTD -- September 10, 2002 (Rating 6) Fractal visionaries and enthusiasts: At first glance, today's image gives the impression of a scene lying deep in the range of arbitrary precision math. But the impression is not accurate. A glance at the parameter file will reveal a magnitude of only 5x10^5, and arbitrary precision math doesn't even work with 'type=formula' fractals. The effect of great magnitude is created partly by the nature of the image itself and partly because the parent fractal, which resembles a lacework doughnut, is grossly enlarged. The large size of the parent fractal means that the scene in effect actually lies somewhat deeper than the magnitude indicates. The name I gave the image, "Not at all Deep", was inspired by this illusory impression of great magnitude. The midget at the center of today's image lies in the remote suburbs of a larger midget located in the northern part of the bloated doughnut area of the parent fractal. The formula, which combines iterated portions of Z^(-2) and (1/Z), is quite simple, but as I have often stated, in the world of fractals, simple formulae sometimes create incredible images. The rating of 6 appears about right for this image, which impresses me as being just the slightest bit above average. And as always, the 7-minute render time can be avoided by downloading the completed GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Monday here at Fractal Central was once again perfect, with a temperature of 88F 31C and all other things that go with weather perfection. The intrepid house cats, Thomas and Tippy, behaved perfectly as they passed the afternoon in their lounge chairs on the porch, wishing only that it had been a few degrees less warm. I'll be perfectly happy only when I finish some work that now lies in semi-disarray on the shelf beside me. So until next FOTD on Sep 12, take care, and see you then. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Not_at_all_Deep { ; time=0:07:32.09--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+126.9237024889527/+137.1000969757893/5\ 30479.5/1/62.5/6.90942504423530668e-006 params=1/\ -2/0.3/-1/98/525 float=y maxiter=900 inside=0 logmap=156 periodicity=10 colors=000UhfRjePleMneJpeHreEteCue5x24v64t93rC3pG2\ nJ2lM2jQ1hT1fW0d_0bb0`eCYXOVP_SHjQ9`XARcBIjCJfDJcE\ J`FJYGJUHJRIJOJJLKJHLJEMJBNJ8OJ5PS8M`BKiDIrGGzIEzP\ GzVHz`IzfJzlKzrLuqJppIkoGgnFbmDYlCTkBPj9Ki8Fh6Ag56\ g47f58e69d6Ac7Bb8Ca8D`9E_9FZAGYBHXBIWCJVDKUDLTEMTE\ ORJPQNQORRNWTL_UKcVIhWHlXGpVJlULhTOeSQaRTYQVVPYRO_\ NNaKO`MP_OQZQRYSSXUTXWUWYVV_WUaXTcYTeXTfWUgWUgYXdZ\ _a_aZadWbgUciRelOfoLgqJUcRGRZ3Ee4Hd4Kc5Mb5Pb6Ra6U`\ 7W_7Z_8aZ8cY9fX9hXAkWAmVBpUBrUDoYEmaGjdHhhJelKcoM`\ sNZvQWtTUrWRqZPoaMndKlgIkfKgeMddNacPZbQWaSS`UP_VMZ\ XJYYG_ZEa_Cc`Aea8gb6ic4kd3kc8kbCkaHk`Lk_QkZUkYZkXb\ kWgkVkkVohPlfKjdFgbAe`5cZD_XLWVTSU`OShKQpGPxCOtGOp\ KOmOOiSOfVObZObbOcfOdjOemXftRgiLV_FcQGteKrgNqhQpiU\ njXmk_lmcjnfioihplgqhehec`aaTZhLWiDUjFTkHSlJQmLPoM\ OqONsQLuSKwUJyVIzXGzZFz`EzbDzcaznRzmHzmJzWKzELzGMz\ INzKOzMPzOQzQRzSSzUTzWUzY } 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 20.0 PAR-FORMULA FILE==================================