title: Efficient generation of the cartesian coordinates of truncated icosahedron and related polyhedra.
abstract: Efficient algorithms for deriving the analytical expressions of the rectangular coordinates of the vertices of regular polyhedra and truncated icosahedron inscribed in a cube is described and the results are exposed. Various characteristic quantities of the geometrical structure of truncated icosahedron are obtained. Kaleidoscopes for projecting the truncated icosahedron are discussed.
authors.affiliation: Department of Information Sciences, Ochanomizu University, Bunkyo-ku, Tokyo 112-8610, Japan. hosoya@is.ocha.ac.jp
authors.forename: H
authors.initials: H
authors.lastname: Hosoya
authors.forename: Y
authors.initials: Y
authors.lastname: Maruyama
mesh_terms: D002244:Carbon / Q000737:chemistry*; D008958:Models, Molecular
chemical_list: D002244:Carbon