A system for allowing a virtual object to interact with other virtual objects across different spaces within an augmented reality (AR) environment and to transition between the different spaces is described. An AR environment may include a plurality of spaces, each comprising a bounded area or volume within the AR environment. In one example, an AR environment may be associated with a three-dimensional world space and a two-dimensional object space corresponding with a page of a book within the AR environment. A virtual object within the AR environment may be assigned to the object space and transition from the two-dimensional object space to the three-dimensional world space upon the detection of a space transition event. In some cases, a dual representation of the virtual object may be used to detect interactions between the virtual object and other virtual objects in both the world space and the object space.