An multi-dimensional game comprises a physical component including a game board and game pieces and a virtual component including a virtual environment displayed on a display device. A user is able to play the game by interacting with the virtual or physical component, wherein in order to complete tasks in the game the user must transition between interacting with the virtual component and the physical component. The physical component comprises game blocks, which are able to couple to each other and form objects that are then represented in the virtual component.