In order to increase the ways that users can intuitively interact with a tabletop display, we developed UlteriorScape. This system integrates two major functions of its predecessors. As with Tablescape Plus, UlteriorScape uses tabletop objects as both projection screens and input interfaces. As with the Lumisight Table, the tabletop is physically single, but visually multiple with a view-dependent display, which can show different images to each user around the table. We developed several applications that demonstrate the advantages of UlteriorScape. In one, a single user can hold a simple screen-object over the tabletop and see additional images projected onto its surface. Those images change interactively based on the position of the object, which is fracked by ID. In another application, multiple users can simultaneously work with a single mountain-shaped object that displays separate images on each side. In this paper, we describe the system design of UlteriorScape and its applications.