FOTD 09-02-09 (Siegels on Parade [6])
FOTD -- February 09, 2009 (Rating 6) Fractal visionaries and enthusiasts: In yesterday's discussion I mentioned Siegel Disks. Actually, I'm not sure of the significance of Siegel Disks. The math encyclopedia defines the Siegel Disk Fractal as a Julia set (of the Mandelbrot set) with c=-0.390541,-0.586788i. But why this particular fractal is special is a mystery. I can see nothing unusual or unique about it. The corresponding point of the Mandelbrot set lies exactly on the boundary of the main bay, but other points on the boundary give similar fractals. The answer must lie somewhere in one of the fractal books I have not yet come upon. Today's image is an extension of the Siegel Disk idea, a Julia set of a point on the boundary of the Z^6+C Mandeloid. It is filled with things that closely resemble Z^2+C Siegel Disks, with six large disks and an infinity of smaller ones, their position made obvious by the coloring. The fractal is rather attractive, though its familiarity prevents it from earning a rating above a 6. I named the image "Siegels on Parade", and why not? After all, a parade with an infinity of marching Siegel Disks would take forever to pass the reviewing stand. Luckily, the march is only symbolic, and the fractal takes only 3-3/4 minutes to calculate. And even better, the already-calculated image is or soon will be posted on the FOTD web site for immediate and intense gratifica- tion. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Sunday brought a prelude of spring to Fractal Central, with total sun and a temperature of 55F 13C. The wind was a bit higher than ideal, but the fractal cats didn't mind a bit. My day was uneventful, though I heard that a rather sizable job will be coming in sometime Monday. The next FOTD will be posted in 24 hours. Until then, take care, and is skepticism always the most rational approach? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Siegels_on_Parade { ; time=0:03:45.73-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=JuliaN passes=1 center-mag=0/0/0.928 params=6/0/0/0/-0.4241305333947207/0.6631595440171\ 235 float=y maxiter=3200 inside=bof60 logmap=yes symmetry=origin periodicity=0 colors=000A4fA5eA6dA7cA8bA9aAA`AB_ACZADYAEXAFWAGVA\ HUBITBKSCMRDNQEPPoROpTLqUIrWFsYCtZAu_9v`9wa9xa8yb8\ zc8zc8zd7ze7ze7zf7zg6zh6zh6zi6zj5zj5zk5zl5zl4zm4zn\ 4zpUzqZztczwhzzjsZKgVOfRSfNWfJ_iFbfGcdGdbGe_GeYGfW\ GgTGgRGhPGiLDjNGiOJiPMhRPhSSgTVgVYgW`fXcfZfe_ie_ng\ `keaidbfccdadb`e__fYZgWXhTWiRVjPTkMSlKRlHNmIQmITmI\ WmIZnIanIcnIfnIioIloIooIrpJvoItnIrmHqlHokHmjGliGjh\ GihFggFefFdeEbdEacE_bDYaDX`DV`CT_CSZCQYBPXBNWBLVAK\ UAIW7GUAHTDIRGJQIKPLKNOLMQMLTNJWOIZOH`PFcQEfRPvUDh\ REgTEfUFfVFeWGeXGdYHdZHc_Ib`IbaJacJadK`eK`fL_gL_hM\ ZiMYjNYkNXlOXmOWoPWpPVqQUrQUsRTtRTuSSvSSwTRxTRyQWt\ N_oLdjIheEmZGl`HlaJkbKkcMkdNjePjfQigSihTiiVhkWhlYh\ mZgn`goafpcfqdfrfesgetheugctfbsf`se_rdZrdXqcWqbUpb\ TpaSo`Qo`Pn_Nn_MmZLlYJlYIkXGkWFjWEjVCiUBiU9hT8hS7g\ S5gR4fR3fO5dL7bJ9aGB_DDYBEXFFYIGYLGYOHYRHYUIY7Jh6I\ j6Hk6Gl6Fm6En5Do5Cp5Bq5Ar } frm:JuliaN {; Jim Muth b=p1, z=p2+pixel, c=p3: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================
Jim Muth wrote:
FOTD -- February 09, 2009 (Rating 6)
........ The next FOTD will be posted in 24 hours. Until then, take care, and is skepticism always the most rational approach?
If nobody is aware of the "Orbit Trap" blog, which Terry Wright has been running for a couple of years, or they have not kept up lately, then you may wish to read his review on Jim Muth's FOTD postings: http://orbittrap.blogspot.com/ I found it a quite interesting read, and very insightful (from both parties involved).
Paul.N.Lee@Worldnet.att.net wrote:
Jim Muth wrote:
FOTD -- February 09, 2009 (Rating 6)
........ The next FOTD will be posted in 24 hours. Until then, take care, and is skepticism always the most rational approach?
If nobody is aware of the "Orbit Trap" blog, which Terry Wright has been running for a couple of years, or they have not kept up lately, then you may wish to read his review on Jim Muth's FOTD postings:
http://orbittrap.blogspot.com/
I found it a quite interesting read, and very insightful (from both parties involved).
That's a very well written, very well-thought-out essay. Duly bookmarked for repeated enjoyment! And I smack myself for never realizing how the FOTD is a blog ... congrats, Jim! -- David gnome@hawaii.rr.com authenticity, honesty, community
David wrote:
Paul N. Lee wrote:
If nobody is aware of the "Orbit Trap" blog, which Terry Wright has been running for a couple of years, or they have not kept up lately, then you may wish to read his review on Jim Muth's FOTD postings: http://orbittrap.blogspot.com/ I found it a quite interesting read, and very insightful (from both parties involved).
That's a very well written, very well-thought-out essay. Duly bookmarked for repeated enjoyment! And I smack myself for never realizing how the FOTD is a blog ... congrats, Jim!
There is a lot of really good stuff to read on that blog. I thought the wood burning was pretty cool. And finding out what all has been going on within those "fractal contests" and other fractal adventures was very eye-opening. Also found out that Stephen Ferguson has been making videos.
participants (4)
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david -
Jim Muth -
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Paul.N.Lee＠Worldnet.att.net