Nekar Xenos wrote:

> Lovely!

Thank you!


> I've been thinking of using this self similar scaling technique you
> described for Apolloniian packing. In 2d if you have 3 large circles that
> are not the same size but in a certain proportion that would result in
> fitting exactly with sides touching when iterated at smaller sizes. Almost
> the same way that when you cut an A0 size pare in half you get A2 and so on
> until you get A4, A5 etc.  As far as I know appolonian packing has only been
> done starting with 3 equally sixed circles. The next step would be to do
> this in 3d.

I did a search for it and found, Start with a boundary and three circles tangent
to the boundary and each other. Then every gap left, make a maximum dimatere
circle in the middle, tangent to the three sides bounding the gap.
I've seen stuff like this before. Quite interesting patterns. I don't know how
you'd do it in 3d though. Every sphere would be tangent to 4 surfaces I would
think, but you wouldn't be able to make them close off areas of empty space like
in 2d. Maybe it can't be done... :(

--
David Fontaine  <dav### [at] faricynet>  ICQ 55354965
My raytracing gallery:  http://davidf.faricy.net/

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