Oliver & Spike is a beautiful indie game still in development. This video gives you a quick look at how you’ll use dimension jumping as actual game-play on the first world. It’s very simple to start with, but the dimensions and their rules will get increasingly complex and involved.
Please keep in mind that all graphics, and specially the user-interface design, are mostly for development purposes in this early development stage. The quality of the graphics is in no way an indication for the final game.