; Date: Sun, 02 May 2004 12:17:47 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 02-05-04 (Fractal Patches [3]) ; Id: <1.5.4.16.20040502122119.2b2f655e@pop.mindspring.com> ; --------- ; ; FOTD -- May 02, 2004 (Rating 3) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is a second thought. When I first stumbled upon ; it, I noticed its flatness. Flat images such as today's often ; do quite well with the alternate rendering options, so I tried ; some of them. The 'decomp' feature worked very well with the ; image, so I used it for the rendering. I named the result ; "Fractal Cheating", and decided that it would be the FOTD for ; today. I chose this name because the picture said more about ; the features of the program than it said about the scene I had ; discovered. ; ; Then I decided that the full worth of the 'decomp' feature would ; not be apparent unless the 'decomp' version could be compared to ; the drabness of the original 'outside=iter' version. Today's ; image is this 'iter' version. It rates only a 3, but the incred- ; ibly short render time of 40 seconds results in an unexpected ; and unjustified overall value of 449. The 'decomp' version of ; today's scene, which will rate notably higher, will appear as ; tomorrow's FOTD. ; ; Actually, all the 'outside' options do better than the standard ; 'iter' rendering of today's image, which is basically flat and ; featureless, but the scene renders so fast that the viewers can ; try these for themselves. ; ; I named the version of the scene that appears as today's image ; "Fractal Patches". That's all it is -- a few flat patches of ; color. The flatness is why the scene renders so fast. There is ; no fine detail to calculate. ; ; The route I took to today's image is rather interesting. Using ; the MandelbrotMix3a formula, I entered 1 and 2 as the p1 ; parameters, which drew the classic Mandelbrot set. Then I added ; 0.075 part of Z^3. This moved the M-set a bit to the left but ; had no other effect on the screen image. Next I entered ; -8.888... as the real(p5) parameter, which determines the ; initial point of Z, and just happens to be a critical point of ; the formula. The result was a blank screen. ; ; Never put off by blank screens, I did an outzoom and discovered ; that the action had moved far to the left. I zoomed in on the ; area of interest and found a new M-set. Except for the oddly- ; shaped iteration bands, this set looked normal, but on the ; X-axis some distance to the right of the new set, I spotted a ; tiny dot. This dot proved to be a tiny disconnected M-set with ; even smaller M-sets surrounding it like satellites around a ; planet. And I found that these satellites are in turn surroun- ; ded by satellites of their own. Today's image is that of a ; satellite of a satellite. Its surroundings are so flat because ; of its extreme isolation. ; ; The image may be seen by running the included parameter file or ; by downloading it from: ; ; ; ; A pleasant spring afternoon here at Fractal Central on Saturday ; brought out the best in the dynamic fractal cats. Lots of sun ; and a temperature of 79F 26C were just what they needed for a ; comfortable three-hour lounge in the yard. But today things ; look ominous. It is starting cloudy with heavy rain forecast. ; ; Heavy rain does not stop the fractals however, so the next one ; will appear in 24 hours, give or take an hour or two. Until ; then, take care, and search for answers to the mysteries of life. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Fractal_Patches { ; time=0:00:39.99--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=ident center-mag=-22.97767772633961000/+0.06349061612053\ 014/3.426261e+008/1/-152/0.00023170776981063651 params=1/2/0.075/3/0/0/0/0/-8.88888888889/0 float=y maxiter=300 inside=0 logmap=34 periodicity=10 colors=000bEKWILPNMIRNCVNQ_ZbdiohtPW2RU5TT8VSAWRDY\ QF_PI`OKWVSSa_OhgKooGuwO0MT2OX4Q`6Se8UiAWmCYqEZ0BJ\ LDKeFLzHMwFLuELrDLpCLmAKk9Kh8Kf7Kg7KcmzzzVzzWzzWzy\ WzxXzwXzvXzuXztWysWxsVwrVvqVuqUtpUspUroTqnTpnTomSn\ mSmlSlkRkkRjjQijQhiQghPfhPegPdgOdfOceObeNbdNadNacM\ `dM`eL_eL_fLZfKZgKYgKYhJXhJWiJWiIVjIVjIUkHUkHTlHTl\ GSmGSmFRnFRnFQoEPoEPpEOpDOqDNqDNrCMrCMsCLsBLtBKtAK\ uAJuAIv9Iv9Hw9Hw8Gx8Gx8Fy7Fy7Ez7Ez6Dz6Dz6Cz7Cz7Cz7\ Cz8Cz8Cz8Cz8Cz9Cz9Cz9Bz9BzABzABzABzBBzBBzBBzBBzCBz\ CAzCAzCAzDAzDAzDAzDAzEAzEAzEAzF9zF9zF9zF9zG9zG9zG9\ zG9zH9zH9zH8zG9zH9zH9zHAzHAzHAzHAzHBzHBzHBzHCzHCzI\ CzICzIDzIDzIDzIDzIEzIEzIEzIFzIFzIFzJFzJGzJGzJGzJGz\ JHzJHzJHzJIzJIzJIzKIzKJzKJzKJzKKzKKzKKzKKzKLzKLzKL\ zKLzLMzLMzLMzLNzLNzLNzLNzLOzLOzLOzLNzMOzLOzLOzLPzL\ PzLPzLPzLQzLQzLQzLRzLRzLRzLRzLSzLSzLSzLTzLTzLTzLTz\ LUzLUzLUzLVzLVzLwzHpzIizJ } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } ; END PARAMETER FILE================================== ; ;