FOTD -- June 26, 2004 (Rating 5) Fractal visionaries and enthusiasts: No, there is no mistake in the 14-hour render time of today's parameter file. It is the slowest in several years, and close to the slowest of all time. This is an unintentional tribute to the speed of Fractint's type=julia fractal. The scene is identical to that of the most recent FOTD, with one tiny but very important exception -- it has been sliced in a direction 0.0019 degree removed from the Julia direction. To do this, I had to use one of my own formulas, which is the main reason that today's image is so slow. This tiny rotation makes a world of difference to the image. Some of the Siegel Disks are still there; some are gone, but now, looking into the background, we can actually see the relation of the Julia set to the Mandelbrot set. The orange part of the image is a hugely enlarged view of the shore of the M-set. The orange valley is not a familiar one. It is an extremely tiny one, which has been enlarged over 30,000 times until it overfills the entire Julia set. The center of symmetry of the Julia set locates the exact corresponding point of the M-set. I named the image "Siegel Disks-2", and rated it at a 5. When the render time of over 14 hours is considered, the overall value rates a pathetic 0.6, the lowest rating of all time. It goes without saying that the image has been sent on ahead to Paul, who will post it to the FOTD web site, from where it may be downloaded and 14 hours of computer time saved. The FOTD web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Thursday here at Fractal Central was partly cloudy with a high temperature of 84F 29C -- perfect conditions for cats. The dynamic duo spent several hours in the yard; the not-so-dynamic individual spent most of the day trying to get the work done. When the day ended, the cats were happy, but the individual had accomplished less than he had intended. By contrast, Friday was cloudy and oppressive, with a lively thunder-shower in the late afternoon. Luckily, by the time the rain arrived, the cats had been outside long enough to become satisfied, and they dashed indoors eager to stay dry and eat. This morning, the rain has moved out, it is cooler, and a clearing is on the horizon. I expect happy cats. For me, much more work waits to be done. The third and final Siegel Disk fractal will appear in a day or two. Until then, be patient and think fractals. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Siegel_Disks-2 {; time=14:02:45.68--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip passes=1 center-mag=0/0/3.453802/1/-10/3.885780586\ 1880479e-016 params=90.0019/89.9981/2/0/0/0/-0.543\ 268/0.564772 float=y maxiter=10000000 inside=0 logmap=yes periodicity=10 colors=000PSeQTfRUgSVhTWiUXjVYkWZlX_mY`nZao_bp`cqa\ drbes`etaftbgtbhtchtcitditditeiteitfjtfjtgjtgjthkt\ hktiktiktjktjltkltkltlltllthkrejpcipbhoagn`fm_elZd\ kZcjYciXciWchVcgVcfUceTcdSccRcbQcdRcbRcaR`_SZZSWXS\ UWTRUTPTTMRX77TKQP0cL0cH0cE0aATQ7OE6PH6QJ6RL6RN6SQ\ 6TS6UU6UW6VZ6W`6Wb6Xd6Yf6Zi6Zk6_m6`o6ar6at6bv6cx6c\ z5dy5ex5fw5fv5gu4ht4it4is4jr4kq3lp3lo3mn3nn3om2ol2\ pk2qj2ri2ri3qj4qj5qk6qk7qk8ql8ql9qmAqmBqmCqnDqnEqo\ EqoFqoGqpHqpIqqJqqJmqEilAag6Ub2MY4OT5HO7IJ8LEAN9BP\ 4GQ3KS3OT3SV3XW3`X3dY3hZ3m_3qa3uc3yd3xc4xc3xb2x`1x\ Y0wW0wU0wS0wR0wP0wO0vN0vM0vK0vJ0vI0vG0uE0uC0uA0uA0\ uA0wA0uA0tA0rA0qA0oA0nA0mA0mA0mA0mA0mA0mA0mA0mA0mA\ 0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0m\ A0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0\ mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA0mA\ 0mA0mA0mA0mA0mA0mA0mA0mA0 } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END 20.0 PAR-FORMULA FILE==================================