; Date: Thu, 26 Sep 2002 09:55:25 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 26-09-02 (Eight or Sixteen [6]) ; Id: <1.5.4.16.20020926095643.2b97e25a@pop.mindspring.com> ; --------- ; FOTD -- September 26, 2002 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; There must be a name for someone as obsessed with fractal ; midgets as I am, but if there is, I have yet to find it. ; Today's image features yet another midget. The little thing ; might be too small to be visible, but be assured, it is there at ; the center, waiting for revelation, though looking little better ; when seen in person than it does at this distance. ; ; The formula behind the image combines portions of ; Z^(-0.414213562373) and Z^(-2.414213562373). These two numbers ; are reciprocal to each other, and even more curious, the decimal ; parts of these numbers are equal to the decimal part of the ; square root of 2. This curious coincidence might have a deeper ; mathematical meaning, or it might not. ; ; In any case, the coincidence has little effect on the appearance ; of the fractal the numbers generate. The parent fractal ; resembles a first-quarter moon, (last-quarter in the southern ; hemisphere), with today's scene lying in some rather unique ; appearing material on the northern terminator of the moon. ; ; For unknown reasons I named the image "Eight-or-Sixteen". ; Because it is only a bit above average, I rated it a 6. Because ; the 7-minute render time is a bit slow, it might be more ; convenient to download the pre-rendered GIF image from Paul's ; web site at: ; ; ; ; or from Scott's site at: ; ; ; ; and thereby save a few minutes. ; ; The fractal weather Wednesday featured increasingly thick clouds ; as the moisture from a tropical storm drifted this way. But the ; temperature was a comfortable 75F 24C, and all else was under ; control, giving the fractal cats a pleasant day, actually romp- ; ing in the yard. When their fun was done, the dynamic duo had ; an enjoyable treat of tuna. All-in-all they had one of their ; all-time best days. I hope their mood is just as congenial this ; week-end when I try to take up-to-date photographs of them for ; the soon-to-appear FOTD CD. ; ; As for me, my day will be the best only when I get the work ; done. And if I hope to do that, I've got to get started. So ; until next FOTD, which will appear on schedule on Saturday the ; 28th, take care, and solve the mysteries. ; ; ; Jim Muth ; jamth@mindspring.com ; ; ; START PARAMETER FILE================================ Eight_or_Sixteen { ; time=0:07:13.37--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.73830742505459010/+4.543148571881168\ 00/7.456448e+008/1/-60/-8.19321895876440331e-005 params=1/-0.414213562373/3/-2.414213562373/0/525 float=y maxiter=1000 inside=0 logmap=134 colors=0000QS0Qh1Qx3Qm1QzLQzLQzLQzFUzLQzPUzLQzVUzV\ QzbRzaFzeBzfFzfBza8z`3xY0sZ0nL0nY0aD1fD6QDBLDFF3J9\ 0M30N33P3BQ3RS3VS3ZU3aW3iY3l_3sa3xa3ve3ze3zf3zh8zj\ BzjFzlJznNxnPuoSsqWoq_nscjufhuhesccqYaoSYoNWnHUlBQ\ l6Pj0Nh0Lh0Pe0Sc0Wa0__0cW0fU0jS0nQ0qN0uL0xJ1zH6zF9\ zDDzDFzDHzBJz9Lz8Nx6Pw3Qw8QwBQwFPwJPxNPxQNxSNxWNx_\ LzcLzfLzjJznJzqJzsJxzLczYHzjDzHBz06z01z00z00z10z60\ z90sD0lF0fJ0_L0UP0NQ0HU09W03_00a00c00h90nN6sY9wjFz\ uJzzPzzSzzNzzHzzDwz8qz1jz0ez0Yz0Sz0Wu0_n1af6e_9fSF\ jLJnDNo6Qs0Uu80Q90S90UB0UB0WB0WD0YD0YF0_F0_F0aH0aH\ 0cH0cW9ahQ_wfYzwWzzUzzSzzQzzPzzNzzLzzJzzHzzFxzDwzB\ sz9qz8oz6lz3jz1hz0ez0az0_z0Wz0Uz0Qz0Nz0Lz0Hz0Fz0Bz\ 08z06z01z00z03z06z19z3Bz6Fz8Hz9JzBNzFPzHSzJUzLYzN_\ zPazQ_zSYzUWzWUzYSz_QzaPzcNzeLzfJzhHzjFzlDznPzaSzQ\ WzWWzWak8ak9clDcmFelJejLfgPfeQfcSjrjliznez7mShnnRh\ _coL_f6Yh0We0Jl06g00p00hg } 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================================== ; ;