; Date: Wed, 27 Nov 2002 10:55:59 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 27-11-02 (A Real Quickie [6]) ; Id: <1.5.4.16.20021127105805.392754ae@pop.mindspring.com> ; --------- ; FOTD -- November 27, 2002 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's fractal image might be the quickest of all time, not in ; terms of render time, though this is under 3 minutes, but in ; terms of the time I spent in finding the scene with its midget ; at the center. Running on fractal instinct alone, and using ; Fractint's evolver feature for the real(p1) and real(p2) ; parameters, I found a parent fractal that appeared as though it ; might be promising. ; ; With nothing to guide me but instinct, I chose an apparently ; non-critical area of chaos in the eastern suburbs of the parent, ; and, simply to see what might lie there, zoomed in at random. ; Though no signs of the two-way symmetry that indicates the basin ; of a midget appeared, I kept zooming. I cannot say what drove ; me onward, but I kept going. The new images came up very fast. ; Then, after only a minute and much to my surprise, there it was ; before me -- the unmistakable signs of a midget. Once I had ; found the rather unique midget, a few minutes of color cycling ; produced today's FOTD. ; ; I have no idea how I stumbled upon the midget. A quick trip ; back to the surface of the parent will show how unlikely its ; existence seems from up there. Intact midgets do not appear in ; non-critical fractals or non-critical-appearing fractal regions. ; I guess I was just lucky. ; ; The name, "A Real Quickie" refers to the time I spent in finding ; the midget, not the 2-3/4 minutes required to render the image. ; The rating of 6 is limited by the small effort that went into ; the coloring. With so much work before me, I had no time to put ; more effort into the coloring phase. ; ; For the convenience of those who would rather nor run parameter ; files, the completed GIF image is available on the W.W.W. at: ; ; ; ; and at: ; ; ; ; Tuesday was a cloudy, chilly day here in Fractal Land, with a ; temperature that never topped 45F 7C. The fractal cats ; responded by being irritable when they found the outdoors not to ; their liking. But when they saw those chunks of tuna appear in ; their food dishes, their moods improved notably. ; ; My mood will improve notably when I take the work now before me ; and put it behind me. But that will take some effort, and ; unless I start I'll never finish. Until tomorrow's FOTD, take ; care, and anything worth having is worth waiting for -- but not ; waiting too long. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ A_Real_Quickie { ; time=0:02:43.67--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.362481021121545/+0.00106306952839/77\ 2340.2/1/130/5.54621512625919e-007 params=-13/-1.4\ 14213562373/45/-14.14213562373/0/525 float=y maxiter=400 inside=0 logmap=48 periodicity=10 colors=000M9ZL7YK6XJ4VI3UH1TG0SR3OU5LX7JZ9HaBFcDDf\ FAhH8kJ6mL4pN2rP0qS2qV3pY5p_6pb8oe9ogBnjCnmEnoFmrH\ muImwJjsSho_fkgdgobdwdeteerfepgenhekieijegkeelebme\ `neZoeXpeVqeSreQseOteMueJveHweFxeDyeBx`IxXOwTUwP_w\ LevHkvDqv9wuAutBssCrrDpqEopEmoFkoGjnHhmIglJekJdjKb\ iL`hM_hNYgOXfOVePTdQScRQbSPaTNaTM_SNYSOWSPVSQTSQRR\ RQRSORTMRULRUJQVHQWFQXEQYCQYAPZ9P_7P`5Pa4Pa5R_6TY7\ VW8XU9ZSA`QBbOCdMDfKDgIEiGFkEGmCHoAIq8Js6Ku4Lw2Lx1\ Nu4Os6Pp8RnBSkDTiFVfIWdKXcMZcP_cR`cTbcWccYdc_fcbgc\ dhcfichfcidcjack_ckXclVcmTcnQcnOcoLcpJcqHcqIclIchI\ cdIc_IcWJdSJeNJfJJgFJhBIiCHjCGkCGlCFmCEoDDqDDsDCuD\ BwDAyEAzE9zE8zE7zE7zF6zF5zF4zF4zF7zHAzJDzLFzNIzPLz\ RNzSQzUTzWVzYYz_`zabzbazZ`zW_zTZzQYzNXzKWzHVzEUzBU\ z8VzAVzBVzCVzDVzEVzFVzGVzHVzIVzJVzKWzMWzNWzOWzPWzQ\ WzRWzSWzTWzUWzVWzWWzXZzYazZdz_gz`qz5dzLSz_GznFzlFz\ kFziFzhFzgFzeFzdFzbFzaFz` } 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================================== ; ;