; Date: Sun, 16 Oct 2005 10:12:40 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 16-10-05 (Mandel Variation-5 [4]) ; Id: <1.5.4.16.20051016101402.23578500@pop.mindspring.com> ; --------- ; ; FOTD -- October 16, 2005 (Rating 4) ; ; Fractal visionaries and enthusiasts: ; ; Can a fractal be used as a wallpaper design? Today's image ; shows that the answer is yes. The old formula I resurrected for ; today is named "Wallpaper", and the only thing it aparently does ; is create a wallpaper-like pattern. Since the formula is based ; on the Mandelbrot set, I named the image "Mandel Variation-5". ; ; Like is true of so many of these old forgotten formulas, I have ; no idea where it came from or what it was originally supposed to ; do, though with the way the functions are piled on in the ; iteration part, I doubt that I wrote it. ; ; The (p1) parameter is set to a point some distance north of ; Seahorse Valley. Bits and pieces of this valley form the ; smaller, more intricate parts of today's wallpaper sample. The ; larger flat diamond shapes are simply parts of the iteration ; bands in the area. ; ; Is there a market for wallpaper with a fractal design? Who ; knows. Maybe it has already been tried. I myself prefer the ; peaceful feeling a smoothly painted wall induces, expecially ; when the color is a pastel tint of blue. But some people enjoy ; the liveliness that a busy wallpaper pattern can create. There ; might be a place for fractals on the walls of our homes, but ; surprisingly enough, not here at Fractal Central. ; ; After giving today's image careful consideration, I rated it a ; below-average 4. This is no reflection on the worth of the ; formula. The formula might have far better images in it, but ; wallpaper is just not my thing, so I will not work with the ; formula long enough to find out. ; ; One very good point however is the speed of the image, which ; with its XY-axis symmetry, renders in an incredible 3 seconds. ; It will take several times as long to stop by the FOTD web site ; at: ; ; ; ; and download the completed image from there. ; ; Lots of sun and a high temperature of 75F 24C here at Fractal ; Central on Saturday was just what the cats have been waiting ; for. Only a rather brisk wind kept the day from being ; absolutely perfect. Today is starting sunny but not quite as ; warm. The day will probably be good enough for the duo. For me ; things look peaceful. Hopefully they will stay that way until ; the next FOTD appears in 24 hours. Until then, take care, and ; spare no fractal. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Mandel_Variation-5 { ; time=0:00:03.18--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=Wallpaper center-mag=0/0/0.04266667 params=-0.75/0.49/16/0 maxiter=95 inside=255 float=y logmap=yes symmetry=xyaxis periodicity=0 colors=000qmmnibkdSSEKYMJcUIQXR1NTNUNrp3ol7mhAjdEb\ KIXr8_mBbiDedFjAciOSmrWjiONGXYRPim4hi8hfBhcEiqWhkR\ heM6vlQkXgmWhiSjbelikecXZZIWi9Tt0MPgnN6ZYPJggKx_TX\ k`5w`Wq`ukwzokyp`xqPwrEvrAnZ7gGF_KMTNTMQ_FTaKNbPId\ UCeZ7rwllmcgcWaUNXKFPLKHMP9MUDQLGUCJY3RX5ZX7fW9nWA\ xCvZpTViaRbiNWrJPzLcqNqhGbg9Pg2Bgt3Ih8MhIKhSITRzZH\ oj23iKA40EIDFWPGt0jnJWoZVl_Qj`LJpaSjV`eOasEdlFffGt\ zUpqPlhL1KBGQDVWF0OqFTdUXTZBMlAhJSfQV_WXUbZNAV7PkP\ WgMbcJkXIiZHuMypRjlWWvSSrVPoXMkZJcGmeNbgUSsh8pfBmd\ DjbF7UCAMMJQKSUJ`YIjTViWQhZLpO9lVD4_NLTsTWf`ZU2htD\ fjOd`ZbRqY8f7OgFMgMKhUIReIWcH_bHdaHVEbaQS`xbdlSVgr\ ih6heAhbEhXThYQhZNh_KyYlp_XZM0cU9nholecjbSemF8eELy\ TXlNGUxQXi_ZVhEehMXhUPCczLbnTac``SWhEkpkOSFVVGaYHE\ xLPpJZhIvFWoQOj5DiGFhRGIr6Pm9WiCbdF6meJhXWdPRHa_RR\ RMo_UYy1usDgmPUJJJQOIWSIbXHjnligXbvXdpTekPgeLo2kkK\ Wv1YoJPNb6aeaccWebRgaMtry } frm:Wallpaper { ; ; use fp math, no periodicity, XY symmetry ; p1=location in M-set ; p2=magnitude z=c=p1+(1/p2)*(tan(cos(real(pixel)))\ +flip(tan(cos(imag(pixel))))): z=z*z+c, |z| <= 64 } ; END PARAMETER FILE========================================= ; ;