FOTD -- (Rating 8) Fractal visionaries and enthusiasts: Who would ever guess that an exponent of Z so close to unity as 0.003 could make such a great difference in the appearance of the finished fractal? When the effect is multiplied 100 times however, the result is significant. The most obvious change is that the parent fractal is shifted far out to -100 on the X-axis, and must be tracked down in its hiding place. Once the elusive little thing is found, we see a rather distorted Mandelbrot set, rotated 45 degrees, with much extra chaos on its partially obscured southern side. Today's scene lies in this southern chaos. After a bit of consideration, I gave today's image a rating of an 8. I think it is quite a pleasant image, even if not the most striking of all time. The patches of smooth color were achieved by setting the inside to 'fmod' with a proximity factor of 0.045. The outside was rendered with the standard 'iter'. I named the image "Sinuous Pinwheel" because I rather enjoy the sinuous curves that I have intentionally colored in brilliant hues. The 5-1/2 minute render time is well within reason for an image that rates an 8. And as always, the finished image is posted, ready for viewing, on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Fairly normal weather prevailed here at Fractal Central on Friday, with partly cloudy skies and a temperature of 50F 10C. The fractal cats passed the day in the normal manner -- seeing how much trouble they could get into and waiting for their evening treats to be served. Except for my slowly mending ankle which still greatly curtails my physical activity, my day was close to average. The next FOTD will appear in 24 hours. Until then, take care, and how can we find the answer when we don't even know the question? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Sinuous_Pinwheel { ; time=0:05:27.36--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-100.04837879302560000/-0.3513619668016\ 5800/6.564136e+009/1/67.5/0.00249588730994233093 params=1/2.5/100/0.003/0/0 float=y maxiter=750 inside=fmod proximity=0.045 periodicity=10 colors=0008cJ9dHAfEAhCBj9Bk7Dh6Ee5Fb4H_4IX3JU2KR2O\ N9SJGVFNZBUa7`dKYfWWhgUjsSkpTlmTmjUngUodUpaVqZVqWV\ l_XhcYdgZ`k_XoaTsbPwcLzdOxbRv`UtZWrXZpVanTcmSVoPNp\ NMpSMpWMp_VifbbljXrSZjA`cKSQTKDUNEVQFWTGXWHYZIZaJ_\ cKXdGVeDTfARf7OgDLgIIgNGgTDgYAgb8ggLMjQOfUPcYQ`bRY\ fSVjTS_9jgDroGziGtcGnZGhTGbNGXIGRCGL7GFADNDAVG7bMD\ bSJcYOccUdi_doeeujelcfdXfWRgOKgGEgOTqVfzZcrbakfZdj\ XYnURrSKvPDpoMUcKjmIgUGdkE`aNzmKSJdN9mzzuK4nL7fLAZ\ mzVhvWctWarW_pWYmX_kXbhXdeXZbVXZUVWSTTRQRPNQOLgTvz\ XGzVzUU0zzRTKSSMTRNUPPVORXNTYLVZKW_JY`H_aGabFccEde\ I_gLViORkSMmVIoYDqa9sd4tg0pi2mk4il6fn7bo9_qBXrCPl9\ If7A`43W29_AFbHLeORiWXlbboigrphskhsgiscisZjsVjtRkt\ NktIltEltAlt6iuAguEduIbuM`vQYvUWvYUvaRvePwiNwmKwqI\ wuGwxFwrEKmDKjCKgBKdBIaDBZF5WH6TJ7QL8NN9MPALRBKTCN\ VCQXDTZEW`FZbG`dHbfIdhJfjJggKedLcaLaZM_WMYUNWRNUOO\ TLPRIPP2fTHnJVu96YR7_O8aM } 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=========================================