; Date: Mon, 30 Aug 2010 22:11:48 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 31-08-10 (Multi-Elephantine [7]) ; Id: <1.5.4.16.20100830221150.169715ec@pop.mindspring.com> ; --------- ; ; FOTD -- August 31, 2010 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's image takes us on another trip into the abstract fourth ; dimension. It is a near-Julia set of the East Valley area of a ; minibrot located on the main spike of the Mandelbrot set, rather ; close to the set's main body. ; ; The image is not a Julia set, nor is it a Mandelbrot set. It is ; a hybrid, with both Mandelbrot and Julia characteristics. The ; outer shape is obviously a Julia set of an East Valley. The ; brilliant innermost parts however are a very oblique slice of ; the Mandelbrot aspect of the area. The buds in this brilliant ; area are purely Mandelbrot buds, though at this extreme angle ; they are partially obscured. ; ; I named the image "Multi-Elephantine" because of an abundance of ; the beasts hiding throughout the scene, which is chock full of ; both elephants and bits and pieces of elephants. In today's ; image however, the ponderous pachyderms are less apparent than ; they usually appear. ; ; The rating of a 7 is far enough above average to make the ; 6-1/3 minute calculation time worth the wait. ; ; The calculation wait may be totally eliminated however by ; viewing the already-calculated image on the FOTD web site at: ; ; ; ; Near perfect late summer weather prevailed here at Fractal ; Central on Monday. The day began with fog, but by 9am the sun ; broke through, and for the rest of the day not a single cloud ; was seen. The high temperature of 90F 32C was a bit too warm ; for total comfort in the sun. The dry air made it quite ; pleasant in the shade however. ; ; It's too bad we could not spend the day outside in this perfec- ; tion. The fractal cats enjoyed their perfection however. They ; found perfection on the kitchen floor and on their shelf in the ; sunny window -- while the sun was not there, of course. ; ; The next FOTD will be posted in 24 hours. Until then, take ; care, and why philosophize about the meaning of existence, when ; we don't even know the meaning of fractals. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Multi-Elephantine { ; time=0:06:22.13-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 maxiter=32767 center-mag=0/0/38/1/90/0 params=89.96/0/89.96/0/\ -1.416653/3.1e-005/0/0/2/0 float=y inside=0 logmap=28 periodicity=7 colors=000AFUAGWAHYAI_AJaAKcALeBMgCNiDOkEPmGQoIRqK\ SsMTsOUpQVkSWfUXaYYX_ZRa_Mc`HeaCgb7ic2kd7meBofFmgK\ lhOkiSijXhk`gkdddYbZR_TLYMEVG7TA1WB7ZCDaCIdDOgDTjE\ ZmFdpFisGouGtqFpmEmjDjfCfcBc_A`X9XT9UP8RM7NI6KF5HB\ 4D83A427124HVPXwhYteYqcYnaZk_ZhYZeW_bU_`U_YU_VU_SU\ _TUZUUZVUZWUZXUZYUZZUZZUZZVZZWZZXZZYZZZZZ_ZX`ZZ_ZZ\ ZZZYZZXZZWZZWZZXZZYZZZZZ_ZZ`YZaXZbWZcVZcU_cQ_cN`cQ\ acSacU`cWZcYXc_VbaT`dQYfOVgMShKQiINjGKkEIlGIlIIlKI\ nLIoNIpPIrRIsSIsUItWItYItZIu`IubIucIqaJn`KkZLgYMdX\ NaVOZUPVTQSRRPQSLPTINUFMVCLVNTOX_HffBgdGgcLgaPg`Uh\ _ZhYbhXghWkfZieagdcecfdchbck`cm_clackbcjcciechfcgg\ cficejcdkcdlcckcbkcakc`jc_jcZjcYicXicWjcVkcVlcWmcX\ ncYocZpc_qc`rcascbtccuccvccwccxccycczcczcczcczcczc\ czcczcczcdzcezcfzcgzchzcizcjzckzclzcmzcnzcozcpzcqz\ crzbszatz`uzZvzXwzVxzTyzRzzQzzOzzMzzKzzIzzGzzFzzDz\ zBzz9zz7zz5zz0zz1zz1zz1zz } frm:SliceJulibrot4 {; draws all 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } ; END PARAMETER FILE========================================= ; ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;