; Date: Thu, 26 Jan 2012 14:40:51 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 26-01-12 (A Strange Mini Indeed [8?]) ; Id: <1.5.4.16.20120126144222.2b573562@earthlink.net> ; --------- ; ; FOTD -- January 26, 2012 (Rating 8?) ; ; Fractal visionaries and enthusiasts: ; ; NEW FORMULA! ; ; Giving in to curiosity, I spent most of the day writing a new ; version of the SliceJulibrot formula, which applies the MultiExp ; expression to the four-dimensional Julibrots it draws. The ; formula appears on the list today for the first time. ; ; Getting the formula to work took up most of the day's fractal ; time, so the image I finally found is not much of an example of ; what the formula might be able to do. Tomorrow's image should ; be better however. ; ; I named the image "A Strange Mini Indeed". Actually, it's not a ; minibrot, nor is it a Julia set. It's a hybrid, sliced in the ; Oblate direction, determined by the imag(C) and real(Z) axes. ; Some directions in the image are Mandelbrot, others are Julia, ; most are somewhere in between. ; ; The parent fractal is an oversized Mandelbrot set corrupted in ; its depths by order-7 energies. Today's scene is located well ; off to the side of the east edge of the large minibrot on the ; main stem of the parent, in the real(Z) direction. ; ; Some stretching and skewing was needed to eliminate the natural ; distortion of the image. This distortion exists in nearly all ; the odd planes of the Julibrots, and can be only partially ; eliminated by stretching trickery such as I used in today's ; image. ; ; The rating of an 8? is a guess, based on what the formula might ; have in it. The mathematical interest is there, though the ; artistic worth of at least today's image leaves something to be ; desired. ; ; The calculation time of a speedy 38 seconds means that little ; effort will have been wasted if the image lays an egg. ; ; The task of setting up and calculating the parameter file may be ; eliminated by surfing to the official FOTD web site at: ; ; ; ; and viewing the finished image there. ; ; And while you're at it, check the hi-def version at: ; ; ; ; The original FOTD web site may be accessed at: ; ; ; ; Morning clouds led to afternoon rain here at Fractal Central ; today. The temperature of 39F +4C was mild enough to keep away ; all danger of ice. The fractal cats, who wish they had the ; outdoor life of the old, now departed, fractal cats, would have ; preferred more sun. The humans, FL and I, simply made it ; through another day, which sounds boring, but actually is not. ; ; The next FOTD will be posted in 24 hours. Until then, take ; care, and everything looks richer in the fullness of four ; dimensions. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= AStrangeMiniIndeed { ; time=0:00:38.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot6 function=recip float=y center-mag=-1.566172639248917/-0.00216596994206138\ /8873.693/0.4301/3.2405430019023771/0.0379459741\ 650980814 params=7/10/0/0/90/0/-17.4550736/0/0/0 maxiter=1800 inside=255 logmap=34 periodicity=6 colors=00000G00I00K00M00O00Q00S10U30W50Y70_A0aC0cF\ 0eG0dI0cK0bN0`P0ZS0YT5WWDUYKT`URbcPZmO`rMbxKcyJbxK\ axLaxL`xM_xN_xNZxOZwOYwPXwQXwQWwRWwRVwSUwTUvTTvUTv\ USvVRvWRvWQvXQvXRsVRqTRnRSlQSiOSgMSdKTbJT_HTYFTWES\ XGRYIRYJQZLQZMP_OO`QO`RNaTNaUMbWLcYLcZKd`KdaJecIfe\ IffHghHgiGhkFimFinEjpEjqDksCluCpvBjxBkyAcmATaACQ09\ E033012U01i01U01E01F_1F01Gc3Ha4mz5JY7KW8LU9MSBNQCO\ ODOMEPKDQJDRICRHCSGBTFBTEAUDAVCAVB9WA9X98X88Y77Z67\ Z57Y78Y99XB9XDAWFBWHBVJCVLDUNDUPEURETTFTVGSXGSZHR`\ IRbIQdJQfKPhKPjLPkLpz9oyAoyBoyCoyDoyEoyFoyGoyHoyIo\ yJoyKoyLoyMoyNoyOoyPoyQoyRoySoyToyUoyVoyWoyXoyzoyz\ oyzoyzoyzoyboybnwcmudlsekqfjogimhhkigijfhjefkddlcb\ mb`naZo`Xp_VqZTrYSrXRoWQlVPiUOfTNcSM`RLYQKVQKSPJPO\ IMQHJSGGUFDXEA_D7bC4eC1iE2mF2mG2mI2mJ2mK3mM3mN3mO3\ mP3mRmmSmmTmmVmmWmmXmmZmmYmzXzzWzzVzzVzzUzzTzzSzzR\ zzRzzQzzPzzOzzOzzWzzVzzUz } frm:SliceJulibrot6 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p2*0.0055555555555556), b=pi*imag(p2*0.0055555555555556), g=pi*real(p3*0.0055555555555556), d=pi*imag(p3*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), aa=-(real(p1)-2), bb=imag(p1)-0.0000000000000000001, c=p+flip(q)+p4, z=r+flip(s)+p5: z=z*z*fn1(z^(aa)+bb)+c |z|< 100000000 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;