; Date: Sun, 16 Sep 2007 23:11:29 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 17-09-07 (Lawbreaker [8]) ; ; Id: <1.5.4.16.20070916231206.0daf95dc@pop.mindspring.com> ; --------- ; ; FOTD -- September 17, 2007 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Today's fractal is a true lawbreaker, which is what I named it. ; Everyone knows that the number of elements in the patterns ; around quadratic minibrots increases in the series 2,4,8... as ; the midget is approached. So how do we explain the midget at ; the center of today's image, which is obviously quadratic, but ; is surrounded by a 3,6,12... series of elements? ; ; I will not even try to explain it. I'll leave the explanation ; to the geniuses of fractal mathematics. To me it's just one of ; the unexpected things that make fractal exploration so ; fascinating. ; ; The parent fractal is another thin ring of radius 1 centered on ; the origin. This time to get the ring I combined 0.0003 parts ; of Z^(1001) with 0.0003 parts of Z^(-999) and added straight C. ; Today's scene is located in the critical detail where the ring ; intersects the positive X-axis. ; ; The rating of an 8 might seem a bit generous, but I think the ; mathematical curiosity makes the image worth the rating. ; ; The calculation time of 1-3/4 minutes is no problem. Viewing ; the completed image on the FOTD web site is even less of a ; problem. The web site may be accessed at: ; ; ; ; Despite a chill in the air, Sunday was near perfect here at ; Fractal Central. Blue skies and a temperature of 64F 18C are ; hard to beat. The fractal cats spent a good part of their day ; on mouse duty, checking every suspicious little hole where a ; mouse might get in. ; ; I did little but take it easy all day. Why do more? The next ; FOTD will appear in 24 hours. Until then, take care, and don't ; be a fractalist who has lost his faith. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Lawbreaker { ; time=0:01:49.08-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.99754831985625280/+0.000073916471693\ 98/1.967133e+007/1/165/3.64419725437659103e-006 params=0.0003/1001/0.0003/-999/0/0/0/0 float=y maxiter=1800 inside=0 logmap=143 periodicity=10 colors=000DALFBMFCNFDOFEPFFQGGRHHSIIUOKWUPZcUcmZht\ cmzhrzmvzqzzqzzqzzqzzszzuzzwzzzzzzzzzzzvzzrzvmzriz\ mgzhhzchzaiz_iz_jz_jzZkzZkzZlzZlzYmvYmrYnmXnhXocXo\ ZXpUWpTWqSWqSVrRVrQVsPVsPPvEKy4Iw5Hu6Fs7Eq8Do8Bm9A\ kA8iB7gB6eC4cD3aE2_E3aK4bc4gp5iz5nz6rz6oyBkzFgzJbz\ NVzRRvVPrZUmbYhfXcjVZnUUrTPvSNzUOzVOzWOzXPzYPzZPz_\ Qz`QzbQzcRzdRveRrfSmgShhSfiTekTdlTcmUbnUaoU`pV_qVZ\ rV`oUamUbkTchTdfSedSfaRg_RhYQiVQjTPkRPlOOmMOnKNoIN\ iMOdQPZTPUXQO`RJcRDgS8jS9hQAfPBdNCbMDaLE_JFYIGWGHU\ FITEJRCKPBLN9ML8NK7OI5PG4QE2RC1SB0QE1OG1MJ1LL2JO2H\ Q2GT2EV3CY3A_39b47d45g44i44g64f74e94dA4cC4bD4aF4`G\ 4_I4ZJ4XL4WM4VO4UP4TR4SS4RU4QV4PX4OY6P`8Qc9RdASdBT\ dBUeCVeDWeEXeEYfFZfG_fH`fHagIbgJcgKdgKehLfhMghMhhP\ ieSjbUk_XlXZmUanRcnOfnLinIknFnnCpn9sn6um4on8ioCcpF\ YqJSrMMsQHtTKuSUvRcwPmxOvyNzzLzzKzzJzzIzzGzzFzzEzz\ CzzBzzAzz9zz7zzSzzTzzUzzW } 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