; Date: Wed, 23 Jun 2004 08:24:54 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 23-06-04 (Siegel Disks-1 [5]) ; Id: <1.5.4.16.20040623082856.2d1fb9da@pop.mindspring.com> ; --------- ; ; FOTD -- June 23, 2003 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; The graphic work is still pretty far behind, but I decided to ; slip in a fractal quickie for today. ; ; Today's average-rated image shows a screen full of almost-Siegel ; Disks. These disks appear in the Julia sets that correspond to ; points on the exact egde of the Mandelbrot set, where the peri- ; odicity is infinite. As far as I can determine, a siegel disk ; consists of infinitely many tendrils going in circles around the ; central point. This number of tendrils is not achieved in ; today's fractal, nor could it be achieved in any finite fractal, ; making the orange areas of today's image not quite siegel disks. ; ; Luckily, Fractint's type=julia fractal is very fast. If it were ; not, today's image, with its maxiter of 10-million, could take ; many hours to render. ; ; I named today's image "Siegel_Disks-1". I have two more ; fractals ready that will continue the almost-Siegel theme. I ; rated the image an average 5, which combines with the render ; time of under 15 minutes to give an absolute value of 34. ; ; To see the disks in quicker time, download the completed image ; from the FOTD web site at: ; ; ; ; Things here at Fractal Central have been quite pleasant for the ; dynamic cats for the past several days. But it has been very ; busy for me. I still have quite a load of work to catch up on, ; so it's time to get started. Until the next FOTD, which will ; appear in a few days, take care, and how many bytes of informa- ; tion could a siegel disk hold? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Siegel_Disks-1 { ; time=0:14:48.25--SF5 on a P200 reset=2003 type=julia passes=1 center-mag=0/0/3.534818/1/-10/3.885780586188e-016 params=-0.543268/0.564772 float=y maxiter=10000000 inside=255 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 } ; END PARAMETER FILE========================================= ; ;