Clipping pane precision

I have a BIG problem with clipping panes in JOGL, but only on certain systems. (Mainly ATI and Linux drivers seem to be causing the problem if that makes any difference) What happens is I have a cube with the normals pointed inward, so you look inside it, and spheres will pass through the walls, so I have 6 clipping planes set up just outside the cube, so that you don’t see the part of the sphere that’s outside of the cube.

This works just great on most systems. but on a few cards (namely ATI Radeon 9600 XT Mac OS X 10.3.8) or just about any Linux system with the Mesa OpenGL drivers) the walls of the cube are partially clipped, not like one side is clipped. but rather very random triangles within the plane itself.

The URL to my program is:
http://www.chem.byu.edu/Plone/people/rbshirts/research/Boltzmann3DHome.html

Switch to 3D mode (Under the Simulation->Dimension menu) then to rotate the camera click on the scale panel to the right or bottom of the GLPanel, then use the arrow keys to rotate.

Has anyone had simmilar problems?? I can post code if it will help, but I’m fairly sure it’s not a code issue because it works fine on MOST computers.