In this paper, we generalize George Hart’s slide-together sculptures as edge-based intersected polyhedral paper sculptures. Edge-based intersected polyhedra are also a conceptual generalization of Kepler’s Small Stellated Dodecahedron. These sculptures are constructed by interlocking slitted planar pieces without using glue. We present a simple procedure to construct slitted planar pieces for any given polyhedron. These sculptures can easily be constructed by children and can be used to teach properties of Platonic or Archimedean Solids through hands-on experience.