There are many deffinitions of a "correct and accurate bound".  In general you should 
not be specifying bounds explcitely unless your geometry is changing rapidly, 
whereupon you could turn off autocompute and set the bounds yourself.  In general a 
bounding sphere is the best way to go and that is what Java3D will construct for you 
if you let it autocompute the bounds.  Remember that the more complex your bounding 
volume is, the slower bounds checking will be.  So a complex bounding polytope could 
really hurt your performance.

If you are interested in efficient bounds computation for arbitrary geometry then 
there are many different algorithms, but I prefer Jack Ritter's "Efficient Bounding 
Sphere" algorithm, which is a two pass approach.

Dave Yazel

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