FOTD -- January 25, 2007 (No Rating) Fractal visionaries and enthusiasts: Another extremely busy day means another short discussion. Take 1/2 part of Z^(-3.5), subtract 1/2 part of Z^(3.5) from it, add C, and what do you get? You get the parent fractal of today's image. This parent is little more than a ring of fractal debris with 4 small Mandelbrot sets scattered through it. One of these M-sets has its east end partly cut off. Today's scene is located in a branch of the Seahorse Valley of this cut-off Mandelbrot set. The image has neither name nor rating, but it is still reason- ably enjoyable. The calculation time of 3 minutes will try the patience of only those with none to spare. But even better than calculating the image is going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and enjoying the image there without calculation. A partly cloudy day with occasional light flurries of snow and a temperature of 37F 3C went un-noticed by the fractal cats, who passed the day sleeping and romping. I passed the day working. Heaven only knows how I found the time for today's FOTD. The next FOTD will appear in 24 hours. Until then, take care, and hike through the forest of fractals with ease. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= FOTD_for_Jan_25_07 { ; time=0:03:01.59--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-0.96107013368038820/-0.883187728763267\ 80/445210.7/1/-136.5/7.17940630556856973e-010 params=0.5/-3.5/-0.5/3.5/0/0 float=y maxiter=1600 inside=0 outside=tdis periodicity=10 colors=000fMjjOlcLcYJW_JZaJacJcdUYedSfoMgzGhuJipLi\ kOjfQkaTkYVhSQfMMdGHbAD`59UARNEgHIxCozwxdbXQI6BO8J\ gAQZBYcDdiFlnGslJnkMijPdhR_gUVfXQeZLeZLd_Kd_Jd`Id`\ HcaHcaGcbFcbEcbEccGcdHceIXrucfJcgKchLciNciOcjPckQc\ lRcmScnUcoVcoWcpXcqYcrZcz`ctacubcuccvdcwecxgcyhczi\ czjczkczlcznzlTzn_zpgzrnztvzuzzryzovzlrziozflzchz`\ ezYbza`meZYhX_kcanjcqpetwgwzizzezzazxZzrVzlSzfOz`L\ zWSzfYjpclkingoobuqZzsUztQzwSzzUzzWwzYuz_szaqzcsza\ uz`wz_yvYzrXzoWzzzyzzpzzgxzZswQotbstnwtzztzztzxuus\ vlnvdhwWcxOZxUZy_ZzeZzkZzqZzwZzqVykRtfNo`JjWFeYQk_\ `qakwcvzezzjMJmd`owqtrrymszhtzcuzZvzUwz_zwdzmjzcoz\ eizfcxgZqiTijNbkIWpHWuHWzGWzGWzFWzFWzFWzKUxPTnTSdY\ RVbQLfPObSQZVTVYVR`YNc_JfmXkzjozwspgjTTb_OhfKmmGss\ CxuFrwImyLhzOczSfzWiyZlybnxfqxitwmwwpyyuzzyzzzzzzz\ uzznzxfzq_zjYzfWzcUz_SzXRzUUzTXxS_tRbpQdlQhjSlhTpf\ UtdWxbXz`YvY`qVclTfgQhbNk } 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=========================================