; Date: Mon, 24 Nov 2008 22:10:39 -0500 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 25-11-08 (Mandelbrot Mystery [7.25]) ; ; Id: <1.5.4.16.20081124221149.2e3f15e0@pop.mindspring.com> ; --------- ; ; FOTD -- November 25, 2008 (Rating 7.25) ; ; Fractal visionaries and enthusiasts: ; ; I named today's FOTD image "Mandelbrot Mystery" because I'm not ; sure if it's a real fractal or some kind of artifact. But ; whatever it is, the image lies in the Seahorse Valley area of ; its parent fractal, which is a Mandelbrot set with lots of extra ; detail around the edges of the main bay and buds. ; ; The ridiculous real(p4) parameter of 10^(-45) seems far too ; small to produce such a change in a normal Seahorse Valley ; scene, but maybe that's the way the four-dimensional Hyper- ; complex Mandelbrot set is actually shaped. Changing this ; parameter to zero reduces the image to the expected Mandelbrot ; scene. ; ; Much of the coloring effect was achieved by rendering the scene ; with the outside set to 'summ', though the normal 'iter' setting ; gives almost as good a result. ; ; The rating of a 7-1/4 includes 1/4 point for the 5 minutes extra ; coloring time I put into the image. And the calculation time of ; under 2 minutes is quite nominal. ; ; As always, the finished image is posted for instant ecstasy on ; the FOTD web site at: ; ; ; ; Increasing clouds in the morning led to a cloudy afternoon and a ; cold evening rain here at Fractal Central on Monday, with a cold ; temperature of 37F 3C. The fractal cats were most disappointed ; with the lack of sun and got into a tussle when Cassie would not ; give up her spot on the scratching post by the warm radiator. ; After the spat, the duo sulked at each other for a half hour. ; ; My day was quite busy, and from the look of things tomorrow will ; be the same. But the next FOTD will be posted in 24 hours ; regardless. Until then, take care, and solve the Mandel-Mystery. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Mandelbrot_Mystery { ; time=0:02:50.00-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=hypermandelbrot2 passes=1 float=y center-mag=-0.749525773313297/+0.058824468328704/\ 79121.91/1/85/0 params=0/0/0/0/0.32/0/1e-045/0 maxiter=3200 inside=0 outside=summ periodicity=0 colors=000kDrq9ur9vr8vz8wz8xz7xz7yz7yz8xz9wz9vuAuo\ AtkBsfCrcCq_Dp_DoXEnVFmSFlMGkBGjiHihIhgIgdnNapOZqP\ WsQTuRQvSNxTKyTJrXIk`HdcGYgGSkFLnEErD7vD1yF5wH9uJD\ tKHrMLpOPoPTmRXkT`jVdhWhfYle_pc`sbatcatdbtebufcufc\ ugdvhdvievjewjfwkfmlgcmgUngUncKj`KfYKbV7_W8ZX8ZY8Y\ Z8Y_8Y`9Xa9Xb9Xc9Wd9Wd9W`DQXHLTLGPPBLT6OR8QQASPCUO\ EXNGZMI`LKbKMdJOgIQiHSkGUmFWoEYmIXlLWjPViSUgWTfZSe\ aRceQbhP`lO_oNYsMXvLWyKYxN_mQ`cSbUVdKXe0_gwbiwdjwg\ lwinwlownmvokvpiuqhurzd0zm0zs0zzizzmzzz`qtbqqdpnep\ kgpiiofjocln`nnZonWqmTsmQtmOsjMrgKrdIqaGq_EiZLY_RV\ ZXOZbS`_WcY_fWcjTgmRkqPntNosQosTosWosZoszoszprzprz\ prmpzppzspzuqwsqsrqpqqlophlpbjoXhmTflOdjJciFbhCagD\ _gGZiHYjKXkLWhOWeOUcPSbPQdOOeONcNLgNJeNHgOFgOEhPLg\ RJfTHfVFeXEeYCfZAf_8g_7f_KgXXdRh`OeYNcVMaRL_OKYLJV\ HITEHRBGP8FN7IO6KO6NP5PP5RP4UQ4WQ3YQ2`R2bR1dR1gS0i\ S0kS6fWCbZIZaOUeUQh_MkeHo } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint