Fez is a 2D puzzle platform game set in a 3D world. The player, Gomez, lives peacefully on a 2D plane until he receives a red fez and witnesses the breakup of a giant hexahedron that tears the fabric of spacetime and reveals a third dimension. After the game appears to glitch, reset, and reboot, the player can rotate between four 2D views of the 3D world.
This rotation mechanic reveals new paths through the levels by connecting otherwise naccessible platforms, and is the basis of the game.