"David Fontaine" <dav### [at] faricynet> wrote in message
news:3AB28F0D.DAFE0512@faricy.net...
> 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

The only problem is that it isn't always self similar in proportion. What I
want is a spcific proprtion of the circles that will make it self imilar
proportionally as well.

>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... :(
>
It's been done...
 I got this from Greg M Johnson
news://news.povray.org/3a4e9ea8@news.povray.org. It'll fill any objct with
spheres but it takes some time to parse. But the equal proportions would be
another story...

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

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