Abstract: Provided is a game with moveable play space that allows a player to modify the play space. Spaces within the play space may be wildcard spaces that initiate modification. Game play space modifications include manipulations such as column shuffling, rotating, and flip-flopping. The selection of which portion of the game play space to modify may be made by the players of the game, by the space on which a game piece resides, or by the particular type of game piece that is moved or used. In some embodiments, different types of players govern modification to the game play space. In volumetric games, certain volumetric portions are exchanged with one another during the modification. Modification of the game play space is performed along various surfaces within the volumetric game play space, or within certain individual game sub-volumes that together integrate to form the entire volumetric game play space.