; Date: Sun, 30 Sep 2007 22:34:28 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 01-10-07 (Powers and Dominions [6]) ; ; Id: <1.5.4.16.20070930223518.0dafff2a@pop.mindspring.com> ; --------- ; ; FOTD -- October 01, 2007 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is based on the formula Z^(2.005)+(2*Z)+C. This ; formula produces a parent fractal which, on the surface, ; resembles the Mandelbrot set, but is entirely different inside. ; ; The main spike of this parent is infinitely divided instead of ; being a single infinitesimally thin filament as is the spike of ; the M-set. Today's image is located in the debris associated ; with this divided spike. ; ; I named the image "Powers and Dominions". The only reason I ; can give for the name is that the phrase came to mind when I ; noticed the heavenly blues surrounding the hellish reds. I am ; currently reading a book about the traditions of angels in ; various cultures, and these are two of the traditional nine ; orders of angels. ; ; But there is nothing angelic about the image, which rates only a ; 6. We have seen similar images simply too many times to rate ; today's any higher. ; ; At least the image is a fast one, finishing in only 1-1/4 ; minutes on the fast machine and 7 minutes on the slow unit. The ; pre-calculated image is available for instant viewing on the ; FOTD web site at: ; ; ; ; The morning fog cleared away by 9am leading to a perfect day ; here at Fractal Central on Sunday. The fractal cats enjoyed the ; temperature of 75F 24C, while I enjoyed having nothing to do. ; The next FOTD will be posted in 24 hours. Until then, take ; care, and fractals are every bit as real as the angels. Or it ; could be that angels are as real as fractals. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= PowersAndDominions { ; time=0:01:15.85-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-1.72115541311189900/+0.057607899272470\ 40/6295098/1/-111.5/5.46746958873800537e-006 params=1/2.005/2/1/0/0/0/0 float=y maxiter=1250 inside=0 logmap=125 periodicity=10 colors=000F09G07I07G0AF0DF0GD0JD1MC4PC8QABT9EX9H_7\ Ka7Nd6Qg6Si4Wl3_o3cr1eu1ix0mz0rz0pz3ny6lv9ksChoFfl\ IeiLdfOacQ__TYXXXT_UQaTOdRJgPGjLDmIApG7sD3vA0y90z7\ 0z00z60zP0zU0zZ0zc0yh0vm0sr0px0mw0lu0ir1fo3cj4`g6Y\ d7Xa9T_AQXCOTDLPFMMFJOGGSGFVICZI9VJ7WJ4YL1hL0jM0kM\ 0lO0cM0lO0kO0cP3iP6hP9gQCZQGeQJdSMcSPcSTcTXcT_cVcc\ VgcVkcXocXtaXxcYzhYzm`zmYzmVzmTzmQzmPzmMziLzeIzcGz\ cDzdCzd9zf7yf4xg3wg0vi0ui0tj0sj0rl0rl0rl0oi0mg0lf0\ jd0ic0ga0f`0dY0cX0aV0`T0_S0YQ0XP0VM0TL0SJ0QI0PG0OF\ 0OA0MD0MG0LI0LL3LO7JPCJSGJVLIXPI_SIaXGc`GfdGiiFjmF\ mrFpvDrzDuzCxzDvzDvzDvyDvuDurDumDuiFudFu`FsYFsTFsP\ FsL4z0FsIPdf_QzdLzjFzpAyv4xz0zz0vp4sf9oYDlOJiDOd3S\ a0_Y0X_0V`1T`4Qa7PcCOcFMdIJfMIfPGgTFgXCi_Ajc9jh7km\ 4mr6mv8owAqwEswJuwNwwSxwWyw_zzdzzizzmzzqzzwzzxzzyz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint