Geometric Model by A. Harry Wheeler, Stellation of the Icosadodecahedron, Described by Wheeler as a Stellated Icosahedron

Extending the sides of polygons can produce a variety of complex polyhedra, including this one. It has twelve relatively sharp points, each with five triangular edges converging. These points alone would form a twelve-pointed star that is itself a stellation of the icosahedron. In addition, there are twenty three-sided points—not as sharp. These faces alone are like those of a great stellated dodecahedron. Wenninger refers to this model as the thirteenth stellation of the icosidodecahedron.