FOTD -- April 05, 2009 (Rating N.A.) Fractal visionaries and enthusiasts: Today's image is a slightly redone FOTD from the past. (I leave it to the viewer to find the original version.) It's all I had time for after FL and I spent most of the day Saturday exploring an antique emporium near Chambersburg, PA. (The trip was not wasted. FL found an old carpet that she insisted we simply had to have.) Today's image shows "The Great Mandelbrot Set", floating in the sky above a world it has just created but to which it has not yet added the details. (Any resemblance to the assumed Deity of our universe is purely intentional.) The proportions of the Great Mandelbrot Set are slightly different than those we are used to, but there can be no mistaking that it is a Mandelbrot set. The nascent universe and its creator were created by subtracting some Z^(0.45) from about twice as much Z^(0.98) and adding straight C. Since basically the same image is being posted for the second time, I could give it no rating, but even so, I think it's a bit more striking than average. The calculation time will cause no impatience. At a godlike speed of 25 seconds, it will finish before boredom even thinks of arising. Those with over-challenged computers may view the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Gusty winds, thick clouds and a temperature of 48F 9C took all the fun out of life here at Fractal Central on Saturday. At least, that's what the fractal cats told us when we returned from the antiquing expedition around 9pm. A quick treat of tuna cheered the cat duo, though I had to go into my archives to find today's fast FOTD. The next FOTD is due in a mere 8 hours. But whether the FOTD actually appears on schedule is a matter of chance. Until next time, take care, and seek union with the great fractal. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= The_Great_Mand-Set { ; time=0:00:25.91-SF5 on P4-2000 reset=1960 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=ident passes=t center-mag=+0.01248328825047417/0/557.041/1/-90/0 params=0.98/0.76/-0.23/0.45/1.00087/0/0/0 float=y maxiter=95 inside=bof61 logmap=yes periodicity=10 colors=0000000000000000000000000000000000000000000\ 00000zzgzHbzzXzQSzzNzZHzbCzzIzWNzzTzPZzLdzzjzFozzu\ z8zrCxnGwiKueOtaSrYWpT_oPcmQdjRegSfdTgbTh_UiXVjUWk\ RWbOWE_XFaYGcZHe_Ig`JiaKkbLmcModNqeOrfPrgQrhQqiSoi\ UihUhbUgcUhcUecUdcUccUbcUacU`cU_cUZcUYcUXcWWdYVg_c\ jacnccqectgcwiczkczmczmczmczmczmcmUwmKwmRwmUwmUwmU\ wmUwmUwmUwmUwmUwmUwmUwmUwmUwmUwmUwmUwmUwmUwAjZHhVO\ gSVeOk0IhAJfLKcVLFmpLkhRh`XfTRDSxmkrjdlhYffRbmqah`\ P9DWPHduQMExSNjXWYGgyxOKlXLJ0cQEXWSRYi3Zh8_fC`eHY4\ 7_HC`THORLTWLY`Lc_LbaLacLpgnDT6JWAQZEWaIPOvUUiY_X2\ KsBPjKVaT_T18DKPHORfSMkWTbZZUPQ9SUCWYFZaIjVrnWiiZ`\ eaTxLjpSahZTUTvp_MkaLfcLL2kPCdUMYYWRlATfQPHEHSSJkM\ dhR_fWVc`QFzDLtFRoHXiJYFaZMY_ST`ZPRequxRnqPgjNbyqa\ n`3YCagNafMaeL4QVGVRR_OkwAcS9m5wgNchd7VEiXLcZSX`ZR\ W_UY`SZbP`cNkPRQFUWSPbJYbPVaURa_ODinRlqVifZfWFPvNV\ iV_XFhSLgQRfOXeM_OCWIASC8 } frm:MandAutoCritInZ {; 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)+(p4)), 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=========================================