This paper demonstrates the use of Geometer's Sketchpad to construct 3-dimensional pop-up polyhedra for students to handle in the study of Platonic and Archimedean solids. It explores some history of the use of pop-up polyhedra to illustrate mathematical shapes, as well as survey strategies for construction. A cloth book for a new granddaughter Eleanor inspired this project. Its pop-ups were an early favorite of Eleanor and her parents.