Gomez lives peacefully on a two-dimensional plane. One day he receives a red fez that changes his world to three dimensions, opening up a grand vista where he can adventure about.
A pixel creature known as "Gomez" is visited in the 2nd dimension by a 3rd dimensional being called "The Hexahedron". The Hexahedron explodes however, and Gomez is set on a quest with a companion called "Dot" to retrieve The Hexahedron's parts and repair him.