; Date: Thu, 27 Oct 2011 16:40:31 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 27-10-11 (The Mystic Minibrot [IMO-9]) ; Id: <1.5.4.16.20111027164131.2bf7b3e0@pop.mindspring.com> ; --------- ; ; FOTD -- October 27, 2011 (Rating 9.5) ; ; Fractal visionaries and enthusiasts: ; ; The minibrot in today's image does not really exist. Yes, I ; know it can be seen in the image, hovering mystically above an ; alien horizon, but is it really there? I think not. Since the ; minibrot consists totally of 'inside' stuff, it is a virtual- ; virtual thing in the virtual world of fractals. Anyone who ; doubts this can change the 'inside' setting from the 'bof61' of ; the image to 'numb' and observe the incredible vanishing ; minibrot. ; ; The parent fractal came about when I subtracted a very unlikely ; portion of Z^(0.45) from an equally unlikely portion of ; Z^(0.76), then added C on each iteration. When rendered in the ; usual manner, this parent fractal is certainly the least ; promising fractal in FOTD history -- an egg-shaped oval with a ; pinched-off west edge, straight edges devoid of any detail, and ; a blank inside. But in fractal land things are not always as ; they seem, and the apparently blank inside of this parent holds ; a surprise. ; ; The surprise lies at the point where the X-axis crosses the ; eastern edge of the parent fractal, where a tiny minibrot lies ; hidden, an etheric thing that barely exists in the empty inside ; of the parent. This minibrot is revealed by the active inside ; fills, especially the 'bof61' of today's image. The 'fmod' ; inside option also creates an interesting image, and this image ; may be adjusted by changing the proximity factor. ; ; The rating of a whopping 9.5 reflects the surprise I felt when I ; found the hidden minibrot. It also includes the standard ; half-point for the coloring. It might have rated a perfect 10 ; if I had not posted a different version many years ago. The ; name "The Mystic Minibrot" was inspired by the overall feeling ; of the image -- that of a strange alien landscape with mystic ; forces invisibly at work in the infinite blue depths of the sky. ; ; The image is a very fast one, finishing in 42 seconds on the ; 200mhz machine and an estimated 12 seconds on the 2000mhz unit, ; which is currently out of action, and will remain out of action ; until I get a chance to try some of the suggestions I recently ; received from the list. ; ; Calculation time may be saved by viewing the already-calculated ; image on the official FOTD web site at: ; ; ; ; The image may be viewed in high definition at: ; ; ; ; The original FOTD web site, which has been online for 14-1/2 ; years, may be accessed at: ; ; ; ; Heavy clouds darkened the sky here at Fractal Central all day ; today. And to make things worse, light but steady rain fell ; most of the time, keeping things unpleasantly wet. The ; temperature started at 52F 11C at daybreak, but fell through the ; day to 43F +6C at post time. The fractal cats were totally ; disgusted with these conditions, and spent the time pondering ; what kind of distracting trouble they might get into. ; ; The humans had a rather busy day, which is good for the ; pocketbook if not the soul. The next FOTD will be posted in 24 ; hours. Until then, take care, and would the Mandelbrot set ; exist if we had never invented complex numbers? Did the world ; vanish when men showed that our concepts of atoms are mental ; models based on the quantum math, and that there are no actual ; tiny solar systems down there, with real balls circling a real ; bubbling raspberry like planets circling a sun? ; ; Of course it did not! ; ; ; Jim Muth ; jamth@mindspring.com ; ; ; START PARAMETER FILE======================================= The_MysticMinibrot { ; time=0:00:12.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident center-mag=+0.01221343/0/557/1/-90/0 float=y params=1.9608526/0.76/-0.4602001/0.45/0/0/0/0 maxiter=95 inside=bof61 logmap=yes periodicity=6 colors=00000000000A02C03G03L04Q05V06_07b08f09j09n0\ Ap0Br0Ct0Hn0Lg0Qa5UWAZPFbJKcOPhSUmYcrcovhqzmszqtzv\ vzzrzxnzwizueztazrYzpTzoPzmQzjRzgSzdTzbTz_UzXVzUWz\ RWzOWzLV0KV0MV0OW0QX0SY1UZ2W_3Y`4_a5cb6hc7md8re9wf\ AtgBuhCuiDvjEvkFvlGvmHwmIwmJwmKwmLwmMwmNwmOwmPwmQw\ mRwmSwmTwmUwmUwmUwmUwmUwmUwmUwzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzAjZHhVO\ 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========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;