Thinking of the labyrinth
43,252,003,274,489,856,000 possible combinations. Add game theory to that, RPG with a dash of FPS for good measure.
You have 9 x 6 rooms to create, and where the player goes defines the setup of the next room. Equate player moves to rotations, jumble the initial settings at start, and you've got a really infinite game (for practical values of infinite, of course).