; Date: Tue, 29 Jan 2008 23:04:43 -0500 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 30-01-08 (Minibrot Madness [7]) ; ; Id: <1.5.4.16.20080129225446.0d9fb020@pop.mindspring.com> ; --------- ; ; FOTD -- January 30, 2008 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is a scene somewhere in HyperSeahorse Valley. The ; area of near total chaos at the center of attraction is the ; remains of a perfectly normal M-set minibrot. (To see the true ; minibrot, reset all parameters to zero.) ; ; As I continue to experiment with the HyperMandelbrot2 formula, I ; am becoming more convinced that the images it draws are true ; slices of the 4-D HyperMandelbrot set, and not mere artifacts. ; In the true classic M-set version of today's image, there are 8 ; well-defined yellow-orangish elements surrounding the minibrot, ; while in today's version, there are 14. What has happened is ; that the original 8 elements have each split into two, but two ; of the split pairs overlap in such a manner that they both ; appear as a single broader element, giving the impression of ; only 14 elements in all. ; ; Inside the space that once was the original minibrot, much the ; same thing has happened, but the area is so chaotic that little ; sense can be made of it. I will continue to work with this ; formula for a while, trying to figure it out. ; ; The image is named "Minibrot Madness", which is a fair name for ; it. The rating of a 7 means that I think it is above average, ; though not exceptional. The calculation time of 2-1/2 minutes ; may be eliminated by viewing the finished image on the FOTD web ; site at: ; ; ; ; Tuesday began with freezing rain and icy pavements here at ; Fractal Central. But by midday the temperature rose above ; freezing, and the rest of the day brought just plain rain. The ; fractal cats enjoyed the view for a while, then went to sleep. ; ; My day was busy enough for satisfaction, but not too busy for a ; fractal. The next FOTD will appear in 24 hours. Until then, ; take care, and it was hard enough to think in four dimensions. ; Now we have eight dimensions to worry about. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Minibrot_Madness { ; time=0:02:34.26-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-0.748072864967/+0.071474507622/773813/\ 1/-5/0 params=0/0/0/0/0.08/0/1e-012/0 float=y maxiter=1200 inside=255 logmap=316 periodicity=0 colors=000P28P38P48P58P68P88P98PA8QB8RC8TD8WG9ZJA`\ LBaOBbSCcVDc_EccEdgFdlGdnGanLZlPXkTUiXSg`PfeNdiKbm\ IaqF_uDZyEYtFXoGWjGVfHUaITXISTJROKQJKPFLOAMN5MN1RM\ 4WL6_K8dJBiIDmJFnOEoSEpXEqaDrfCsiApfAmaAjXAgSAdNAZ\ PAZRAZUAZXAY_AYbAYdAYgAYj9Ym7Yp5Yr4Zs7Zs9_tC_tE_uG\ `uJ`vLavOawQawSbxVbxXbxZawaavcaue`tg`si`rk_qn_pp_o\ rZntZmvZlxRhqJdjBadBdXBgPBjHCeMDaQEXVFTZGPbHKgIGkJ\ BpK7tK3xM7uOBrQFoSJmTKmUKmUKmUKmUKmUKmUKmUKmUKmUKm\ UKmUKmUKmUKmUKmUHmUAmU4lW8jYCi_FgaJfcNdeQcgUaiY`k`\ _hb`edcbgm`jrYnvVqzTuzQzzNzzLzzOnmRicUdZWZYZUXaPWc\ KVdMWeNWfOWgQWhRWhSWiNQiJKiFFhGGgGHfGIeGIdGJdHKcHL\ bHLaHM`HN`HNYIRWJUUKYRL`PMdNNgKOkIPnGQrEQuFVpG_lHd\ hIicJn_KsWUxScvRmuQzsPzrOmpNcoMYmL_lKajJciIdgHffGh\ dFjcElaDm`DnZCoXBpVAqT9rR8sP7tN6uL5uK4rM3pN3nO3lQ3\ jR3gS3eU3cV3aW3_Y3XZ3V_3Ta3Rb3Pc3O_5OX7OU8ORAOOBOK\ DOHEWJ7YF7_B8a78c39e09JFS } 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