After ignoring much of the silliness of what was posted above, we just took a
picture of the ball without the blue glass pieces.
The inside structure is made from 2 polycarbonate hemispheres, each 1/16" thick.
Andy B.
(edit... on second thought, I could post something similar to Karthik's convoluted solution and said that we used some 7-axis CNC welding process to do this. But, I didn't.
)