; Date: Thu, 05 Jul 2007 01:26:06 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 05-07-07 (A Fractal Basin [5]) ; ; Id: <1.5.4.16.20070705013118.2b47a484@pop.mindspring.com> ; --------- ; ; FOTD -- July 05, 2007 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; Due mostly to my laziness, the FOTD image is 2 hours late. But ; it's no problem. The FOTD for July 06 will appear on schedule ; in around 22 hours. ; ; The parent fractal of today's image is an un-spectacular thing ; that results when an unlikely but very critical amount of Z^4, ; (that amount is 0.4699315), is subtracted from Z^3. This parent ; appears as a Mandelbrot set rotated 180 degrees, with a huge ; open triangular-shaped area beyond East, or in this case, West ; Valley. Today's scene is located in some extra decorations that ; lie on the main (in this case the positive) stem of the parent. ; ; The trip back out to the parent fractal is quite interesting, ; but with an image maxiter of 15000, it is rather slow. ; ; I rated the image at a 5 and named it "A Fractal Basin", which ; was the only thing I could think of at the time. The image ; calculates in under 6 minutes on the fast P2000 machine. It ; would take around 1/2 hour on the worn-out P200 machine. The ; fastest and easiest way to see the image is to pay a visit to ; the FOTD web site at: ; ; ; ; and view it there. But before visiting the site, give Paul a ; bit of time to calculate and post it. ; ; The weather here at Fractal Central on Wednesday left much to be ; desired. The clouds hung heavy all day, while occasional ; showers of rain wet the pavement and dampened the local fire- ; works displays scheduled for this evening. The temperature of ; 73F 23C was not quite warm enough for comfortable summer outdoor ; activities, and last and perhaps least, the continuing random ; firecracker explosions kept the fractal cats skittish. ; ; All this made for a less-than-ideal holiday, but fractals never ; take a holiday, and the next one will be along in a brief 22 ; hours. Until then, take care, and when things are going wrong, ; cheer up with an infinite fractal. They give endless fun. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= A_Fractal_Basin { ; time=0:05:50.55-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+1.27508427101656600/0/3207997/1/90/\ -1.23373533611e-014 params=1/3/-0.4699315/4/0/0/0/0 float=y maxiter=15000 inside=0 periodicity=10 colors=000_IVaJWbJXcJYdK_eK`gLahLbiMcjMdkMemNfnNgo\ OhpOipMlqOjqPhqQfrRdrScrTasU_sWYsXXtYVtZTt_Ru`QuaO\ ucMvdKveJvfHwgFwhDwiCwkFxmHxoKxqMysPyuRzwUzxWzrRzm\ NN`LP_KQZKRYKSXKUWKVVKWUKXTKYSK_RJ`QJaPJbOJdNJeMJf\ LJgKJhJJP4RR5RU5RW5RY6R_6Rb6Rd7Rf7Rj3Si5Rh7Rh8RgAQ\ gBQfDQfEPeGPi7KgCNeHPcMRaRT_VWY_YWd_c`BebCgdEifFkh\ HmjIolKqnLhPakYVngPppJlnNhlRekVaiZZhaRgZSeXTdVUcTV\ aQW`OX_MYYKZXI_WGXVFUUFSTFPSFMRFKQFHPEEOECNEgYmW`m\ Kcm9fmBhcDiVFjLGkCIiBJgBKeBLdAMbAN`AOZAQY9RW9SU9TS\ 9UR8VP8WN8XM8ZNA`NCbODdOFfPGhPIjQJkQLmQNoROqRQsSRu\ STwTUyTWzTXwUUtVSqWQnXNkXLhYJeZGb_E__CX`9Ua7Rb5Pb3\ R`4TZ5UX6WW6XU7ZS8_R8ZQAZQCYQEYQGYQIXPKXPMWPOWPQWP\ RUSSUUSZWScYSh_TmaTmcTmeTmgUmiUmkUnmUooVpqVqsVruVR\ Kc7KcAKcDKcJKAKK9Lm8Mm7Nm6Om5Pm4Qm3Rm2Rm3Rf4Re5Rc6\ Rb7R`8R_9RYARXBRVCRUDRSERRFRPGROHRMIRLJRJKRILRGMPE\ LRFNSFOTGPUGQWHRXHSYHTZIU } 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