Generations have been inspired by Edwin A. Abbott's profound tour of the dimensions in his novella "Flatland: A Romance of Many Dimensions" (1884). This well-known satire is the story of a flat land inhabited by geometric shapes trying to navigate the subtleties of their geometric, social, and political positions. In this article, the authors introduce the Flatland game and a related project, which inspire repeated trips between Flatland and our three-dimensional world. Both activities are effective vehicles for students' exploration of the geometric interplay between the dimensions. (Contains 7 figures.)