Using a Rivet Script with Overlapping UVs

When working on my facial rig test, I ran into the problem where I had overlapping UVs, which caused issues in the script.  My solution was to move the overlapping UVs into a different UV quadrant.  Since the texture tiles at a 1:1 ratio, moving the UVs into the (-x, y) quadrant means they function the exact same, but their coordinates are different for the sake of the script.  Clever.

I used the djRivet script for Maya.