Systems and methods interacting with tabletop models are provided herein. A display system includes a tabletop model, including a horizontal display that is configured to display a two-dimensional digital map and a three-dimensional physical model that is configured to overlay the two-dimensional digital map. The display receives a selection of an object from a device of a display system and synchronizes a change to the tabletop model and the three-dimensional digital model that reflects the selection of the object.