High Quality Content by WIKIPEDIA articles! The Fifty Nine Icosahedra is a book written and illustrated by H. S. M. Coxeter, P. Du Val, H. T. Flather and J. F. Petrie. It enumerates the stellations of the regular convex or Platonic icosahedron, according to a set of rules put forward by J. C. P. Miller. There can also be more stellations, including one with Chiral Tetrahedral symmetry known as "Tetrahedron minus Icosahedron".