; Date: Sat, 30 Aug 2008 08:21:13 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 30-08-08 (A Cubic Conundrum [7.5]) ; ; Id: <1.5.4.16.20080830082212.2b7715e8@pop.mindspring.com> ; --------- ; ; FOTD -- Aubust 30, 2008 (Rating 7.5) ; ; Fractal visionaries and enthusiasts: ; ; Today's image shows an unusually rich cubic minibrot, which I ; named "A Cubic Conundrum". The parent fractal is an oversized ; Mandelbrot set, just starting to morph into a cubic Mandeloid. ; Today's scene is located in an extra valley pushing into the ; second bud along the negative X-axis. ; ; The generating formula divides the Z^2 Mandelbtot set by (-Z+3), ; or something like that. At least I think I've got it right this ; time. Bur regardless of how it happened, the image, which rates ; a 7.5, is well worth the 1-1/2 minutes it takes to run the ; included parameter file. And even this small task may be ; avoided by viewing the finished image on the FOTD web site at: ; ; ; ; Friday turned out to be a strange day here at Fractal Central. ; The temperature of 70F 21C was fair enough, and the overcast ; skies were not too bad, but it was too wet to be a dry day and ; too dry to be a rainy day. The occasional showers of mist kept ; it undecided. The fractal cats were not undecided however. ; They definitely want that intruding manx tomcat out of the area ; for good. ; ; My day was definitely not filled with loitering. The work was ; somewhat heavy, and the leisure, somewhat limited. But the ; fractal is acceptable, and that's what matters, at least as far ; as the FOTD goes. The next fractal will be posted in 14 hours. ; Until then, take care, and what is that heavy feeling in the ; air? . . . I just realized that Fractal Central is filled with a ; million tons of dark matter and energy. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= A_Cubic_Conundrum { ; time=0:01:31.56-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideJulibrot passes=1 center-mag=-3.945176537568527/+0.00000000678488286\ /5.016586e+011/1/72.5/0 params=0/0/0/0/0/0/0/0/3/3 float=y maxiter=1800 inside=0 logmap=114 periodicity=10 mathtolerance=0.05/1 colors=00000H00J10M10P10S10U40V60V90VB0WD0XG0ZI0aL\ 0cN0eM0iQ0kR0mT0nU0nV0nT0lR0jP2iN4gL6fJ8dHAcECaBE`\ 8GZ5IY2IW0KV9Uezcezmfzsfzzgzz0zz0zz06zhBzdFzaKwZOu\ WztTzzzzzzzzzzzzzzzzzFzzEzwDzwCzwBbwzawz`wz_wzZwzY\ wzWvzVvzUvzTvzSvzRuzQuzPuzOuzNuzMuzNrzOoTPlTQjTQgT\ RdTSbTT_UUXUUUUVSUWPUXMUXKUXKUZNS_QQaSObVMdYKe_Igb\ GheEjgCkjAll9jj8ii8hh7gg7ff6de6cd5bc5ab4`a4_`4aZ5b\ Y5dX5eW5gU5hT5iS6kR6lP6nO6oN6pM6qL9qLBrLDrLFsLHsLJ\ tLLtLNuKPuKRvKTvKVwKXwKZxK`xKbtIdqHenFgkEhgDidBkaA\ lZ9mW7oS6pP5qM3sJ2tG1uH2qH3mH4iH5fH6bz7Zz8Wz9SzAOI\ zLzzHIzDzzAHzBGzBzzBFzBzzBEzCzzCCzCCbCBdCAgDAjD9mD\ 8pD8sDMv9Zx6lz3yz0qz7jzEbzKWzRPzYzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzVzwVzwWzxWzxXzxXzxY\ zyYzyZzyZzybzyezyizylzypzyszywzyzzyrzvkztczrXzpQzn\ PziPzdOz_OzVNzQNzLMzGMzBLz6Lz2Mz7MzBMzGNzKNzPNzTOz\ YOzaOzeZziizl9zN9zQ9zUAzY } 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