FOTD -- November 21, 2003 (Rating 8) Fractal visionaries and enthusiasts: Today's image takes us to the region of the Mandelbrot set that produces Siegel disks when sliced in the Julia direction. It is not exactly Siegel disk territory however. True Siegel disks are found in the Julia sets of the total chaos on the exact edge of the main bay, and are of infinite iterations, which makes them impossible to calculate even though they do exist. Today's image contains things that are almost Siegel disks however. The things that resemble stuffed olives are about as close as one can come to Siegel disks in the M-set. By striking the space bar twice with today's image on the screen, one may draw a Julia fractal that is virtually a 'Siegel disk' fractal, but that's another story. (Still another story is the appear- ance of this part of the Julibrot when sliced in the odd direc- tions.) Yet another story is the things known as 'Herman's rings', which I remember being discussed on one of the fractal lists a number of years ago. Unfortunately, I have no idea what 'Herman's rings' are. Today's image is actually a rather new appearing fractal in the M-set, and deserves its rating of an 8, especially since the parameter file renders in a speedy 3 minutes plus 1/100 of one second, at least on my tired old machine with the exhaust fan that must be started by hand. The location of today's image is in the tip of a curving area of chaos in a valley of a tiny bud on the northwest shoreline of the main bay. Much of its impact is due to the coloring, on which I spent some extra time. This would appear to make it somewhat a work of art, though I claim no credit for the things actually done by the numbers. The three-minute render time may be escaped by downloading the image from Paul's web site, which hopefully is up and running at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and from Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Thursday here at Fractal Central dawned brilliant and stayed brilliant all day. The afternoon temperature of 59F 15C was perfect for cats and man alike, with a wind that stayed within reason. While the cats enjoyed these great conditions in the yard, the man finished the nominal amount of work that had accumulated since the preceding day ended. The day came to a close with everyone happy, which is quite an unusual event. Today and tomorrow promise to be repeats, so it looks like happi- ness will be the rule. Until next FOTD, take care, and the old M-set is not exhausted yet. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Mandelbrot-09 { ; time=0:03:00.01--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=-0.4166\ 3907681894050/+0.57331389272568470/2.33453e+007/1/\ -102.5/9.46314000424552937e-008 params=0/0 float=y maxiter=30000 inside= logmap=-712 periodicity=10 colors=000nRznUznVznYzn_znazncznezngzniznkznnznosn\ rmnsfnvenwekucjubisbfsafrafr_foUfoNfoUfoYfoXfq__rf\ UrmSssRszQszOszNssMsmKrfJr_IrUHrNFmMEfKD_KEUMENN0K\ 30J30J20I20I20E00F20H20I20J20K20M22N23N33O34Q36R37\ S37U38V3AV4BX4BY4DZ4E_4Fa4Fb4Hb6Ic6Je6Jf6Kg6Mi6Nj6\ Ok6Om6Nj6Mi6Mg6Mg6Mf6Mf6Ke6Ke6Kc6Kb6Kb6Ja6Ja6J_6J_\ 6JZ6JY6IY6IX6IX6IV6IV6HU6HS6HS6HR6HR6HQ6FQ6FO6HO6I\ N6JM6KM6MK6NK6OJ6RJ6UI6UH6UH6XF6ZF6aE6cE6fD6fB6fB6\ fA6fA6f86f86f76f76f66f46f46f36f36f26f26f06f06f06f0\ 6f0Af0Hf0Nf0Of2Qf3Rf4Sc6Ua7VZ8XXAYUBZOD_JEaEFb8Hc8\ Ie8JfAKgAMiANjBOkBQmDRnDSoEUqEXrEYsFZvF_wHayHbzIcz\ IezIfzJgzJizKjzKkzMmzMnzMozNqzNrzOszOszQszQszRszRs\ zRszSszSszUszUszVszVszVszXszXszYszYszZszZszZsz_sz_\ szaszaszbszbszbszaszasz_sz_sz_szZszZszZszYszYszZsz\ YszYszXszXszVszVszUszUszUszSszSszRszRszQszQszOszOs\ zOszNszOszQszRszSszUszVsz } END PARAMETER FILE=========================================