On the Square (poker)
1) Describing a deck all four of whose edges are smooth, that
is, having no trimmed cards to be identified by feel by a thief
(such as belly strippers or end strippers or any other form
of strippers).
2) By extension, describing an honest game, someone playing
honestly, or, in the "real world," any honest situation.
"He's playing on the square" means he's not cheating