; Date: Mon, 05 Feb 2007 20:49:32 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 06-02-07 (FOTD for Feb 06, 2007 [No Rating) ; Id: <1.5.4.16.20070205204939.38b79d12@pop.mindspring.com> ; --------- ; ; FOTD -- February 06, 2007 (No Rating) ; ; Fractal visionaries and enthusiasts: ; ; In the FOTD discussions, I keep talking about a mysterious ; 'parent fractal'. The parent is really not so mysterious ; however. It is simply the entire fractal created by the ; generating formula. ; ; Today's image is such a parent fractal. It resulted when I ; combined 0.65 part of Z^(-1.4142) with 0.65 part of Z^(1.4142) ; and added straight C. Like so many fractals created by the ; M-Mix4 formula, it appears to be two fractals in one. ; ; The main Mandeloid in the image is immediately obvious, but in ; the background lies part of a larger and unseen fractal. This ; unseen fractal appears as the bright stuff in the parent ; fractal. Its buds are apparent, but it is obviously a 'ghost' ; fractal. I suspect that the generating formula has more than ; one critical point, and this unseen fractal is what would appear ; if Z were initialized to another critical point. ; ; As it is, the image, with its deep blues and purples, is a ; rather somber one. Since I didn't even try to explore deeper ; into the fractal, I could hardly give it a name or rating, but ; it's still a pleasant thing to see, and with a calculation time ; of under 3 minutes, little time will have been wasted if the ; result is disappointing. ; ; The finished image will soon be posted to the FOTD web site at: ; ; ; ; where it may easily be viewed. ; ; Today was downright arctic here at Fractal Central. Enough sun ; broke through the clouds to make the day bright, but the brisk ; wind and temperature around 12F -11C made it risky to stay ex- ; posed for too long. The fractal cats never expose themselves to ; the weather however. They were quite satisfied to lie near the ; large radiator in the hallway, which was going full blast. ; ; As today's super-quick fractal shows, my day was very busy. And ; to make things worse, the heavy work will likely continue for ; another week at least. So far I have been able to keep the FOTD ; going. Hopefully, I'll be able to keep it going during the ; coming week. The next in the long series of never-before-seen ; fractals will almost certainly appear on schedule in 24 hours. ; Of course, 'almost' is no 100-percent guarantee, so check back ; tomorrow at this same time. Until then, take care, and if time, ; like space, is quantized, how long is the present moment? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= FOTD_for_Feb_06_07 { ; time=0:02:57.02--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-0.3004690/0/1.344086/1/-90/3.88576e-016 params=0.65/-1.4142/0.65/1.4142/0/0 float=y maxiter=1500 inside=0 logmap=yes periodicity=10 colors=0005R`5Q_5QZ5PY5PY4OX4OW4NV4MU4MT3LT3LS3KR3\ KQ3JP3JP4IQ5IQ6IR7IR7IR8IS9ISAISBITBITCITCITDIUEIU\ FIUcIVcIVcIVcIWcIWcIWcIXcIXcIXcHYcHYcHYcHZcHZcHZcH\ _SH_TH_TH`UH`VH`WHaXHaXHaYHbZHb_Hb`Hc`HcaHcbHdcHd_\ Yz`Xz`Xz`Xz`Xz`Wz`Wz`Wz`Wz`Vz`Vz`Vz`Vz`Uz`Uz`Uz`Uz\ `Uz`TzaTzaTzaTzaSzaSzaSzaSzaRzaRzaRzaRzaRzaQzaQzaQ\ zaQzaPzaPzbPzbPzbOzbOzbOzbOzbNzbNzbNzbNzbNzbMzbMzb\ MzbMzbLzbLzbLzcLzcKzcKzcKzcKzcKzcJzcJzcJzcJzcIzcIz\ cIzcIzcHzcHzcHzcHzUKzWKzXKzYKzZKv`KraPmbPhiUchZZhc\ UhhPhmKhrFhvAhz8gz9gzAgzBgzCgzDgzEgzEgzmfzmfzmfzmf\ zmfzmfzmfzmfzmezmezmezmezmezmezmezmdmmdmmdmmdmmdmm\ dmmdmmdmmcmmcmmcmmcmmcmmcmmcmmGmmHmzImzImzJmzJmzKm\ zKmzLmzLmzMmzMmzNmzOmzOmzPmzPmzQmzQmzRmzRmzSmzSmzT\ mzUmzUmzVmzVmzWmzWmzXmzXmzYmzYmzZmz_mz_mz`mz`mzamz\ amzbmzbmzcmzdmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcm\ zcmzcmzcmzcmzcmzcmzcmzcmz } 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========================================= ; ;