There is a famous topological theorem that holds that if you put your left hand on the entrance to the wall as you enter a maze, continue walking while touching the wall with that hand, you will eventually find the outside exit. (This works for your right hand too, but you might want to keep your right hand free to hold a flashlight.) The theorem is based on the observation that you will never touch the same portion of wall twice and there is only a finite amount of wall. The trouble is that this makes mazes mathematically uninteresting. To make them interesting again, one may consider the puzzle of creating a maze with no solution but giving the solver the right to pierce holes in interior walls in some number, say three, places. The question then -- even to a solver who had an entire map of the maze written down before him -- is, "Which walls and where?" That is the game you are going to play.
Given a rectangle roughly 20 cm on a side, there will be two players: Daedalus the maze creator and Rambeseus the explosions expert/maze solver. Daedalus creates a maze having the property that there is no exit, but where piecing three walls is sufficient to get to an exit. Rambeseus has to identify those holes and where they can be found.
The Imperial Team will be Daedalus.