; Date: Fri, 21 Nov 2003 10:46:25 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 21-11-03 (Mandelbrot-09 [8]) ; Id: <1.5.4.16.20031121104753.29afb94a@pop.mindspring.com> ; --------- ; ; 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: ; ; ; ; and from Scott's site at: ; ; ; ; 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========================================= ;