; Date: Sun, 09 Oct 2011 18:57:49 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 08-10-11 (Deep-Purple Scene [minus 6]) ; Id: <1.5.4.16.20111009185752.1237bfac@pop.earthlink.net> ; --------- ; ; FOTD -- October 08, 2011 (Rating minus 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is not as bad as its rating would suggest. ; ; The image has a negative rating of -6 because it's a negative ; image. Most fractals, with their bright pinks and yellows, ; produce a feeling of positivity and elation; but today's image, ; with its somber blues and purples, creates a feeling of ; negativity and depression, thus the negative rating. ; ; The name "Deep-Purple Scene" describes the image quite ; thoroughly. The depression the image evokes is due to the ; colors. With more cheerful colors, the image would be not at ; all depressing. ; ; The image is simply a near-Julia set of a point in the north ; branch of Seahorse Valley of the large minibrot on the main ; spike of the Mandelbrot set. It is only a 'near' Julia set ; because the Julibrot slice is double rotated 0.2,0.2 degrees ; from the true Julia direction. It is impossible to imagine ; such a double rotation, but by actually doing the rotations, ; one can observe that the double rotation does exist. ; ; The somber deep blue wedge slicing through the middle of the ; open Julia shape is actually a grossly enlarged view of the ; Mandelbrot aspect of the area. It is possible to enlarge the ; 4-D Mandelbrot shapes to infinity because the stuff Mandelbrot ; shapes are made of is compact in the Mandelbrot 'C' planes but ; extends to infinity in the Julia 'Z' planes. ; ; The calculation time of 3-3/4 minutes is perhaps a high price to ; pay for such a downer of an image. Once again, thank goodness ; for the FOTD web site, which I believe is back in action again. ; ; The official FOTD web site may be accessed at: ; ; ; ; The high definition version of the image is posted at: ; ; ; ; The original FOTD web site is at: ; ; ; ; After a gray and foggy start, today turned into near perfection ; here at Fractal Central. The sun shone constantly, while the ; temperature reached 72F 22C, which made the fractal cats happy ; and sent them scrambling to their sunny shelf in the southwest ; window. ; ; With the real work winding down, the humans took it easy doing ; other things. The next FOTD is due to be posted in 24 hours, ; but from the way things have been going lately, I would not be ; surprised if it was sooner or later. Until whenever, take care, ; and there's a new world coming, where time travel into the past ; is an everyday reality. (Want to bet?) ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Deep-Purple_Scene { ; time=0:03:42.06-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot2 passes=t center-mag=0/0/6.666667 params=89.8/0/89.8/120/\ -1.7685524/0.0008063/0/0 float=y maxiter=16000 inside=0 logmap=6 periodicity=0 colors=000002002002003113223335447859A6BC7DD7EF8GH\ 9IJAKLBMNCOOCPQDRSETUFVWGXYHZZH_`IabJcdKefLghMiiMj\ kNlmOnoPpqQrsRttRurTtpUtnVtlWtkXtiZtg_te`tcatbbt`c\ tZesXfsWgsUhsSisQjsOlsNmsLnsJosHpsGqsHpqIooJnmKmkL\ liMkgNjeOicPhaQg_RfYSeXTdXUcYVcZWcZXc_Yc`Zc`_ca`ca\ acbbbcbacb`dc_ecZecYfcXfdWgdVhdUhdTieUjeUjeUkeVkfV\ lfVmfWmfWngWogXogXphYqgXpgXpgXpfYpfYpfYoeYoeZoeZoe\ _odZod_nd_nc_nc_nc_nb_nb_mb_mb`ma`ma_ma`m``l``l`al\ ``l``laalaakabkbckdckddkfdkfejedkbej`fjZdjWbiW_iWZ\ iVXiVWiVViUVhUVhUUhUUhTThTShTRgSPgSOgSNgRNgRNgRNfR\ MfQMfQMfQMfPMfPLePLeOLeOLeOLePMdOLeOLeOLeOLfNLfNLf\ NKgNKgNKgMKhMKhMKhMJiMJiLJiLJjLJjLHjLHkKHkKHkKHkKH\ lKHlJGlJGmJGmJFmJFnIFnIEnIGoICoIAoHApHApHApHAqHAqG\ AqGArGArGArFAqGArGArGArGArGArG0rG0rG0sG0sG0sG0sG0s\ G0sG0sG0tG0tG0tG0tG0tG0tG0tG0tG0uG0uG0uG0uG0uG0uG0\ uG0vG0vG0vG0vH0vH0vH0vH0v } frm:SliceJulibrot2 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=9 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;