> For each face, your SDL uses 2D components of 4 points to generate a flat 
> prism object that lies parallel to the XZ plane, then you re-orient it based 
> upon vectors defined using only the first 3 of the 4 points. Because the 
> fourth point 3D that you pass into the routine doesn't lie on the same plane 
> as the first 3 3D points you pass into the routine, your surface ends up 
> sticking up in the air and doesn't stand a chance of touching the fourth 
> point.

*slaps head repeatedly*

Duh!

Of *course* it's not gonna work with a non-plannar surface...! >_<

God, sometimes I think I should just go crawl into a hole somewhere...

OK, now let's see what happens if I feed it some coordinates which 
actually describe a feasible polyhedron...

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