; Date: Tue, 18 Oct 2005 11:56:11 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 18-10-05 (Mandel Variation-7 [7]) ; Id: <1.5.4.16.20051018115734.2a8f68fc@pop.mindspring.com> ; --------- ; ; FOTD -- October 18, 2005 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; What can be said about a fractal that takes less than one second ; to finish? Not much I fear. But today's soft, wavy image does ; just this. It renders in an impossible 7/8 of one second on my ; tired old machine. I doubt that it could render faster, even on ; the newest units, since it will take them about one second to ; shift into the chosen vesa video mode. ; ; Today's resurrected old formula, named Test-01, is something I ; wrote back in 1996. Having not seen it for nine years, I have ; no idea of what I was trying to accomplish when I wrote it. ; Possibly, I was investigating the four odd planes of the Juli- ; brot. After all, the small open area at the center of today's ; image does rather resemble the Elliptic slice of the Julibrot. ; But whatever its original purpose was, I soon laid the formula ; aside and forgot it -- until yesterday, that is. ; ; With its two changeable functions, the formula actually draws ; some quite interesting fractals. Today's image, which somewhat ; resembles a reflection in a puddle of water, is a sample of what ; it does. In keeping with the trend of recent days, I named the ; image "Mandel Variation-7" ; ; The rating of a 7 is largely due to the extra effort I put into ; the coloring, which, at least on my monitor, is almost but not ; quite perfectly smooth. ; ; There is little more to be said about the image, which speaks ; for itself, using light waves instead of sound waves of course. ; As I said earlier, the image is faster than light, but those ; without the 7/8 of one second to spare can visit the FOTD web ; site at: ; ; ; ; and download the finished product from there. ; ; A temperature that was slightly too chilly and a wind that was ; a little too brisk kept the fractal cats from being perfectly ; happy on Monday. But they still managed over an hour in the ; holly patch, checking the holly berries, which are just starting ; to turn red. Once I finished the day's work, my day was equally ; satisfactory. Today is starting a bit milder, and with no wind. ; It looks like a better day coming for the cats. The next FOTD ; will appear in 24 hours. Until then, take care, and then have a ; bit of fun. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Mandel_variation-7 { ; time=0:00:00.87--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=Test-01 function=cos/sqr center-mag=-0.459436/0/0.02901848 params=1/0/1/0/2/0 float=y maxiter=1000 inside=0 outside=summ logmap=yes periodicity=10 colors=000NIVR4XR4TR4QS3MS3JS3FS3CS39Q8APDAOHAMMAL\ QAKVAI_BHcBGhBElBDqBCuBHnDLgEP`FTVHXOI`HJdBKeHLfNM\ gSMhYNhcNihOjnOktPkyPdpTZhXS`_MTcGLfJP_LSTNVMQYFS`\ 8Uc1Re7OgCLhHIjNFlSCmXEhZFd_H_`IWaJSbHUcGWcFXcEZdD\ _dCadBcdAde9fe8ge7ie6kf5lf4nf3of9lbEiZJgWPdSUbOZ_L\ dYHiVDnTAhVFbXKXZPR`ULbZFdcAfgBjfCnfCqfGlbJhZMdVQ_\ RTWOWSKS7gO8dKAaGCZCDW8FT4GQEBcN6pOAnPElQHjRLhSOfT\ SdUVbUZaVa_WeYXhWYlUZoS_sQ_vPWsQSqRPnSLlTHjUEgVAeW\ 7cWJfXUiXdlXooXoeUoXSoOQiX`ddkffihghihgkifljenkdol\ cqmbrnato`up_sk`qfaoabmXclScjNdhIefDfe9fOYS7vEBtHF\ rKJpNNnQRmTVkWZiZbgaffdjdgnbjr`mu_oqYpnXqjWqgVrcUs\ `TsXStURtQQuNPvJOvGNwDMwIQrNTnSXjX_facbffYkjUpmQuq\ MztIYjS6a`4`X2_T0_P5ZR9ZSEYTIYUNXVRXWWXX_WZdW_hV`m\ VaqUbvUczUdyWcxYbx_aw``vb_vdZufYtgXtiWskVrmUrnTqpS\ ppRppRnnSmlSliTjgThdUfbUd`VbZUaYU`WU_VUZUUYTUXSUWR\ UVQUUPUTOUSNURMUQLUPKUOJU } frm:Test-01 {; Jim Muth z=real(pixel)+(p1*(fn1(imag(pixel)))) c=p2*real(pixel)+fn2(imag(pixel)): z=z^p3+c |z|<=100 } ; END PARAMETER FILE========================================= ; ;