; Date: Fri, 28 Oct 2011 16:34:51 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 28-10-11 (Ring Around the Minibrot [8]) ; Id: <1.5.4.16.20111028163551.2b87f814@pop.mindspring.com> ; --------- ; ; FOTD -- October 28, 2011 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is unusual enough to rate an 8. Its generating ; expression is (Z^3)-0.355(Z^4)+C, which creates a parent fractal ; consisting of a small Mandelbrot set rotated 180 degrees and ; surrounded by holes. Just beyond the main spike, which points ; east, lies a large butterfly-shaped hole partly filled with ; something resembling the East Valley of a much larger but mostly ; hidden Mandelbrot set. Curiously, this area of the parent is ; extremely sensitive to small changes in the real(p2) parameter. ; ; Today's image lies just north of the X-axis, rather deep in this ; phantom East Valley. The image strikes me as an unusually ; well-defined circular ring of pink clouds surrounding an orange ; minibrot, spectacular enough to rate an 8. ; ; But perhaps the most unusual feature of today's image is not in ; the frame at all. It is the phantom East Valley of the parent ; fractal in which today's image lies. The larger minibrots in ; this phantom valley come in all shapes and sizes, as well as in ; all orders from quadratic to quintic. Many of the minibrots are ; of a never-before seen, random variety. I might feature a few ; of these weird semi-critical minibrots in the FOTD's over the ; next week or so. ; ; The actual name I gave the image is "Ring Around the Minibrot". ; This name did not fit into the allotted space in the parameter ; file however, so I cut off the 'brot' part. ; ; The calculation time on the inactive 2000mhz machine would have ; been an estimated 52 seconds, quite a bargain considering the ; quality of the image. ; ; The image is posted for instant viewing on the questionably ; official FOTD web site at: ; ; ; ; It is posted in high definition at: ; ; ; ; The original, now venerable, FOTD web site may be accessed at: ; ; ; ; Lots of sun prevailed here at Fractal Central today, but later ; in the afternoon, clouds started moving in, preparing for the ; major snowfall expected tomorrow. The temperature of 45F +7C ; was cold for the season, causing the fractal cats to seek extra ; warmth. The humans had a typical day. I spent a half hour or ; so lining up the snow removal tools, though it remains to be ; seen if they will be needed -- at least for this storm. ; ; The next FOTD is not in doubt however. It will be posted in 24 ; hours. Until then, take care, and I must have over-estimated ; the number of working brain cells remaining in the general ; population. When I commented this morning on the quality of ; today's popular music, the immediate reply was, "what's wrong ; with it? It's great." I shook my head and thought, it's great ; for the brain-dead. I guess this makes me an old fuddy-duddy. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= RingAroundTheMini { ; time=0:00:52.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident inside=0 center-mag=+0.49827164808178630/-0.000969928530694\ 85/6.81019e+011/1/165/0 params=1/3/-0.355/4/0/0/0/0 float=y maxiter=1000 logmap=131 mathtolerance=.05/1 colors=000A0cA1cA4aA7_A7YA7WA7UF7RG9MLBLQGDVH7_H3z\ zzzpzzjxtcopZdhTZZHKPAAH20EGCAVO6i_2wl9siFpgKkfQgd\ YfkcemefmhfnjfqofuifxkfzHwdfZNzB5sCGfEQVEaQHZOLWKO\ UHSQFVO9d_4pj6gd9__BUVELPGEKJ7FFFCCLAAU97_64f41n20\ u00z02z09z0Fz0Kz0Qz0Xz0cz0iz0az2VxCOrNHmXBhg5cs0_z\ 1Uw4Oq5Hl7CfA6_B1VE0PF0KJ0LNANQKOUVOXdPapQczQimVmb\ XsSawGcz6gz0jx0iq2ii6ib9iWBgOFgHHgBKgOlzFNtHFVALZ2\ Qb0Wd6XbGZ_Q_XaaVlaSdUX_LaVFdO7jJ0nE0s0jB0ab9Sz6Px\ 4Nt1Kn0Hj0Fd0Ca0BX0AS09N07H27E569754A40B40C70CA0EE\ 0EG0EK0FN0FQ0FU0GS6GSFGSOHSXHSfHSpHSzFZwCcuAjt9pq6\ wp4zn2zmW0da2cdAbiHbmPaqX_ud_zmZzuZzxVzzQzzOzzKzzG\ zzEzzAzz7zx9znAzdBzWCxNEwEFu5Gt0Gp0Jm0Kj0Ng0Od0Qb0\ SW00_00c60gE1kK4oS6sZ7wjEzuKzjAza1zS0z0gz7ZzOQzUQz\ XQz_KzaEzc7zd1zg0zi0zd1zbCz_NzXZzVizSuzPzzWzzauzfp\ zllzcjzXizQgzKfzEdz7cz1bzcbzcXzFSzOOzZJziEzsAzdNzS\ ZzFlz2xzBzzJzzQzz_zzgzzpz } 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 ;