Disclosed is an electronic gaming machine that includes an electronic data store storing game data for a given game; an electronic 3D-enabled gaming display; and one or more processors. The processors are configured to: generate, with at least a three-dimensional graphics processor, game surfaces using the game data, each of the game surfaces for displaying at least one game symbol thereon; present a three-dimensional view of the game surfaces on the electronic display, the game surfaces arranged in layers such that a foreground game surface appears to be closer to the user than a background game surface; and in response to a game trigger event: remove at least one game symbol displayed on the foreground game surface from the game; and integrate at least one game symbol displayed on the background game surface into the game such that the integrated game symbol interacts with remaining game symbols displayed on the foreground game surface.