; Date: Sun, 24 Aug 2008 17:25:02 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 24-08-08 (Seven from Eight [6.5]) ; ; Id: <1.5.4.16.20080824172555.2bf7d1f6@pop.mindspring.com> ; --------- ; ; FOTD -- August 24, 2008 (Rating 6.5) ; ; Fractal visionaries and enthusiasts: ; ; Today's FOTD is very late because on Saturday I somehow got ; involved in another of FL's antiquing expeditions. But all was ; not lost. We found an oriental-style lamp for $15, which FL ; claims is worth over $250. To me it looks like an old lamp, but ; who knows . . . ; ; Today's image came about when I divided Z^2 by (Z^(6)+3). The ; parent fractal resembles a Mandelbrot set starting to morph into ; the Z^8 Mandeloid. Today's scene is located in some island ; debris that has appeared in the northwest interior of the large ; period-2 bud. ; ; The image is extremely fast, taking only 24 seconds to run on ; the fast machine. The name "Seven from Eight" refers to the fact ; that, though the central minibrot has only 7 lobes, the surround- ; ing pattern is a series of powers of 8. The rating of a 6.5 ; could be a little liberal for such a hasty image, but the image ; is still better than average for one of order-8. ; ; The finished image will be available on the FOTD web site as ; soon as Paul can calculate and post it. The FOTD web site may ; be accessed at: ; ; ; ; The weather was near perfect here at Fractal Central on Friday. ; Need anything more be said. The fractal cats enjoyed the great ; conditions to the best of their ability. My day was busier than ; expected, yet still within reason. Expect the next FOTD in ; about 6 hours. But do not be too disappointed if it does not ; make it. Until next time, take care, and look for those extra ; iterations. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Seven_from_Eight { ; time=0:00:24.58-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideJulibrot center-mag=-3.653068462538817/+0.2509654289884953/\ 1.06659e+010/1/-85/0 params=0/0/0/0/0/0/0/0/8/3 float=y maxiter=750 inside=0 logmap=47 periodicity=10 mathtolerance=0.05/1 colors=000GACKAFOAISALWAN_AVcAbgAjkArnGygWo`ccWmUh\ xKztAqp8mjBhfDcbGZ_IUYKPVLKRMGOMKHNOBOS6OXjZayiWjn\ QXsRTpRPnRLlRHiRDgR9eR5cX9XbDQhHJnLCsO5nS5jW5fZ5bb\ 5Ze5aZGdSRgMajFlm9vbFZTLBPLQLLdOOgRQiTSlWUnZXq`Zsc\ `vebxCAyIFtNJpTNkYRgbVcnXEj_LgaRdcXaebZghWinaglgej\ mcisagy_frahlbifck`elVfnPgoOirOluNmxNozMpmLp`KpOJZ\ YIIgI1pM9iPHbTPWWXQ_dJblCes6dtBcuFbvJawO`xS_zWZzUY\ zSXzQWzOVzMUzKTzITzGTzSTzcTzoMzmGzlAzj4ziHzZTzOezD\ qz2NzKmzV7zZ9zSAzLBzEszXdzOQzGSzPMzJHzDSzzMzzHzzkz\ zUzzFzzczzXzzQzzJzzmzz`zzOzzYzzSzzNzzHzz9zzAzzBzz2\ zz7zzQzzUzzazzizzgzzezzdzz`zz`zz`zz`zz`zzgzzlzzqzz\ vzz0zz4zz8zzCzzGzzQzzZzzhzzqzzbzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots 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), aa=-(real(p5)-2), bb=(imag(p5)+0.00000000000000000000001), 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)/(z^(aa)+bb)+c |z|< 1000000 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint