The Surgient platform doesn't keep chaining snapshots, one on top of another. We only go "one deep" with our snapshots, to eliminate the need to have to be cognizant of the snapshot chain depth. This means you avoid the management headaches, performance constraints, and virtualization vendor length limitations.
When you deploy a snapshot taken via the Surgient platform, you actually get a writeable copy of the snapshot. "Snapshotting the snapshot" is simply the act of saving that writeable copy back to the library, this time including the blocks changed during the most recent deployment.