An experimental paper game.
The material is just a bunch of squares to cut out, which you then fold into triangles (half/diagonal folds).
Now the paper is a bird! (Because a square—with two triangles and a fold in the center—looks like a bird flapping its two wings.)
During the game, you’re placing your birds in formation trying to score points in … some way.
Putting one wing up (one side up) is necessary to trigger actions and get stuff done. But if a bird ever has both sides up, then it just flies away, leaving your flock!
Alternatively, turn it into a game about mirrors. If you put one side up, it’s a mirror, deflecting sight in the other direction. By rotating the pieces, you change what you can see. (The only problem? This is prone to human errors, as you might collectively miss a mirror or two and think you’ve won/lost because of that mistake.)