Creating polyhedral stellations

A process for creating and displaying stellations of a given polyhedral solid is described. A stellation is one of many star-like polyhedra which can be derived from a single solid by extending its existing faces. A program has been implemented which performs the stellation process on an input object and generates a 3-dimensional image of the stellated object on a computer graphics display screen. Pictures of icosahedron and rhombictriacontahedron stellations generated by the program are included in the paper.