Stellation forms complex polyhedra from more basic polyhedra. The best way to study and appreciate these beautiful forms is to examine a three-dimensional model. I will discuss the geometry of the models that can be made from the pages of my new book, Cut and Assemble Icosahedra: Twelve Models in White and Color [1]. The models in this book are designed to allow one to construct complex polyhedra using the fewest steps possible. They allow both the mathematician and the lay reader to study the structure of these polyhedra in three dimensions.