; Date: Tue, 29 Apr 2014 17:42:33 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 29-04-14 (The Fourth Dimension [A-6,M-7]) ; Id: <1.5.4.16.20140429174228.2a7710b0@earthlink.net> ; --------- ; ; FOTD -- April 29, 2014 (Rating A-6,M-7) ; ; Fractal visionaries and enthusiasts: ; ; Today's scene in the East Valley area of the Z^2+C Julibrot was ; created by the 'ranges' feature of Fractint, a feature that I ; very rarely use. It is such a rarely used feature that I am not ; even sure the more current Fractint-emulating programs have the ; ability to reproduce it. As far as I know, the 'ranges' feature ; can be accessed only through a command-line entry. The 'ranges' ; instructions, which are rather complicated, are available in the ; program documentation. ; ; The image slices the Julibrot in an orientation halfway between ; the Elliptic and Rectangular. The vaguely elephant-shaped open ; area in the foreground shows that we are roaming the East Valley ; area. The brilliantly blue bars in the background show that ; regardless of where the points in the Mandelbrot set begin their ; journeys, if they do not escape first, they will eventually ; settle into the same orbits as points that begin at 0,0. And if ; we look closely, we can actually see the dull red, low iteration ; foreground stuff gradually merging into the high iteration stuff ; making up the horizontal blue bars in the background. ; ; There is no problem with the colors section of the parameter ; file. Since the final 242 color registers are all solid black, ; I have combined them into a single register to save space. ; ; I named the image "The Fourth Dimension". After all, the ; Julibrot certainly does exist in four spatial dimensions. The ; art earns a rating of an acceptable 6, while the math, which ; involves four dimensions, rates an improved 7. ; ; The calculation time of 1-2/3 minutes is fast enough to keep ; impatience under control and slow enough to give time to watch ; the scene unfold on the screen. But calculation is still a ; chore, and this chore may be avoided by checking the finished ; image on the web sites. ; ; To avoid calculation, check the web sites at: ; ; ; ; ; ; ; ; ; ; Clouds and rain made today a day to be forgotten here at Fractal ; Central. The temperature of 48F +9C did nothing at all to help ; make the day more pleasant. The fractal cats, who are now ; getting hard to tell apart, spent a little time sulking about ; the poor weather, but a lot of time working off their ; dissatisfaction tussling with each other. The humans spent the ; day pondering the world's human problems. The next FOTD will ; likely be posted in 24 hours. Until then, take care, and one ; person can hardly worry about every over-hyped problem on earth. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= TheFourthDimension { ; time=0:01:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=slicejulibrot4 passes=t float=y center-mag=+0.00204706073105023/+0.004429358557815\ 21/109.0324/3.3256/-88.4965877662025093/32.6921823\ 891347145 params=90/90/0/45/0.30025/-0.02526/0.765\ /-0.567/2/0 maxiter=18000 inside=0 periodicity=6 ranges=0/-1/425/500/600/800/1100/1500/2200/3300/60\ 00/18000 sound=off colors=000C00XKKKmzPqzUuzZwzcwz\ hwzmzzzzzzzz000<242>000 } 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 ;