Fractal of the Day
by Jim Muth

Siegel Disks-3 ©
Jim Muth's fractal image in GIF format (640x480).

FOTD -- June 28, 2004   (Rating 5)

Fractal visionaries and enthusiasts:

Today we go from one of the slowest images of all time to one of the fastest, for a kind of look at a real Siegel Disk Fractal.   (At least that's what the math encyclopedia calls its mirror image.)   And this will be our last look of the current Siegel series.

When the maxiter of today's image is raised to 100-million, the inside does start to fill with some kind of debris, but then the image takes several days to render.   As a compromise between having a real siegel disk fractal that takes days to render and an almost-siegel disk fractal that renders in a more reasonable time, I lowered the maxiter to a miserly 300 and rendered today's image with the inside set to 'bof61'.   When this was done, the siegel disks appeared as flowers set against a clear blue sky.   This doesn't quite make the invisible visible, but it helps a bit.

I named the image "Siegel Disks-3".   It is the third and last in the current series of these quasi-objects.   Now, if someone knows where to find Herman Rings, whatever they are, I will do the same with them.

The rating of an average 5 explodes to a whopping 970 when the very short 30-second render time is figured in.   In this case, the download will likely take longer than the rendering, but visiting the FOTD web site at:is still a very convenient way of seeing the FOTD images.

With the near-perfect weather continuing Saturday and Sunday, the fractal duo found near-perfect happiness both days, hiding in the holly thicket, wondering where the cicadas went.   The good weather made no difference to me, however.   I spent most of the weekend trying to get the work under control.   Some progress was made, but much more needs to be done before I can totally relax.   Until next FOTD, take care, and we think, therefore we might exist.

Jim Muth

START PARAMETER FILE=======================================

Siegel_Disks-3     { ; time=0:00:30.93--SF5 on a P200
  reset=2003 type=julia passes=1 center-mag=1.11022e\
  -016/0/0.964 params=-0.390541/0.586788 float=y
  maxiter=300 bailout=9 inside=bof61 outside=1
  logmap=yes symmetry=origin periodicity=10
  _Xk`Zkazmbznczodzpezrfzrg }

END PARAMETER FILE=========================================

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