"Fredrik Eriksson" wrote:
> On Mon, 23 Nov 2009 17:51:37 +0100, Stefan Viljoen wrote:
> > The one at the bottom, the fractal to the 2nd from left looks the most
> > interesting.
>
> It is simply the power 2 Mandelbulb. It does not look quite like the one
> Daniel White showed for power 2; it may be that my version suffers from
> accuracy issues. I will try a close-up of that one later.

I also think the power two is the most interesting, and have been exploring it
the last few days.  I attached a 10-iteration "top" view, which looks more like
what you posted than Mr. White's.  I don't know why that is.  My first thought
was that voxel discretization doesn't capture the fine detail, but it appears
yours begins to do so.

In the attached view, I particularly like the Heraldic Frog on the extreme left,
and wonder what the Butterfly toward the middle right will look like after a few
more iterations.  The trees are also interesting, but elsewhere on the surface
(not visible in this view) I found what appear to be a recursively infinite
number of angels, presumably dancing on the head of a pin.

I think I can get a paper out of this.

David Wagner

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