; Date: Mon, 18 Jun 2007 22:11:41 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 19-06-07 (Siegel-Disk Sunrise [7]) ; ; Id: <1.5.4.16.20070618221638.2d1fa050@pop.mindspring.com> ; --------- ; ; FOTD -- June 19, 2007 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Yesterday's image showed Siegel Disks. Today's image wreaks ; havoc with those disks. Siegel disks are spirals that circle ; forever but never draw any closer to the center. Today's image ; not only changes the disks into star-like objects, it totally ; obliterates the lower halves of them. ; ; This craziness came about when I duplicated yesterday's image ; but rotated the orientation of the slice about 2 degrees from ; the Julia direction of the Julibrot. To do this it was ; necessary to use a special Julibrot formula which rotates the ; slices. I think this is the first time I have used this ; particular formula in an FOTD image. BTW, the Julibrot is the ; 4-dimensional assemblage of all the Julia sets and all the ; perturbed Mandelbrot sets. ; ; In four-dimensional space, all kinds of crazy and unimaginable ; things can happen, and today's image is one of them. In today's ; image, the lower half of the remnants of the Siegel disks is ; obscured by a grossly enlarged and distorted view of the part of ; the Mandelbrot set that corresponds to the Siegel disks. ; ; I named the image "Siegel-Disk Sunrise" because that's what it ; reminds me of. Then I rated it at a 7 to reward myself for the ; extra 10 minutes or so I spent working on the colors. ; ; The calculation time of 1-3/4 minutes can be sidestepped by ; going to the FOTD web site at: ; ; ; ; and viewing the finished image there. ; ; Monday proved to be a lovely sunny day here at Fractal Central. ; True, the temperature of 88F 31C could have been a bit cooler, ; but the humidity was not all that bad, and a gentle breeze kept ; the air stirred. All in all, the fractal cats approved. ; ; My day was busier than I would have liked, but the work was ; finished in plenty of time for the day's FOTD to be completed. ; The next FOTD will appear in 24 hours. Until then, take care, ; and choose wisely. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= SiegelDisk_Sunrise { ; time=0:01:49.35-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2a passes=1 center-mag=0.0337456/0/0.9146906/1/-37.5 params=88.512/1.442/92.381/-1.198/-0.390541/-0.586\ 788/0/0/-5/0 float=y maxiter=3600 inside=bof60 logmap=yes symmetry=none periodicity=0 colors=00000006C0AE0CG5EIAGKFIMKKOPMPUPQZSMcVIhYLm\ _OraQwcTweWwfYwg`whbwicwjdwkewlfwmgwnhwoiwpjwqkwrl\ wsmwtowuqwvsxwvyzzzzzKqgIpeGnbEm_CkYAjV8hS6gQ4eN2d\ K0cILWOeOTYIOQCKIMAMIIQEQXCWbAah8fn6lt4qvEpwNpyWoz\ dotXgoP`iHTdAMLPb2csrkhqfmqbqqYvqUzkVseVl_VeUVZOVS\ IVLCVE7V8IPBTJDbEGm8Iw3Kp2Gj2Dd2A_8BVEBQJBLPBGVBB_\ B6eB1jBHd9W_7kV5zQ4mZC`fKOnSBvZGtYKrYOpYSnYWlY_jYc\ hYggYbb_ZYaVTbROdMJfIEgE9iA5j99e9Da9HX8LT8PO8TK8WG\ KXDVXBeX9pX7`0lmT5lR3TYqYWcEB6HMIJXTLgdNroSlpXfqa`\ qeVrjProJssDswJhzOZoNSeNMWNGVH_UCsXIl_NfaT_dYUgcNi\ hHgjGflGemGdoFcpFbrFasFaaMaLSa4Y_7cYAiWCnUFtTHySNr\ RTkQYdPcYOhRNnKNsEUoI`kMfgQ9wBJh9SU7`F5i04zaDvXKrT\ QnPWjLafHgbDmZ9sV5yYAu`EqbIneMjhRfjVcmZ_obXnXTnRPn\ MMmGImBFm5Bm08hF7dT6`f6Xh5Tj5Ql4Mm4Io4Fq3Bs38t3GnA\ OhHWbOcXVbUWbSWaPWaNWMXU7eSMaP`ZMoWJj_RecY`geWklSn\ sOlmKkhHibDhYAfSimelqfoug } frm:SliceJulibrot2a {; 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|<=real(p5+9) } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint