Compound of dodecahedron and icosahedron

First stellation of icosidodecahedron
TypeDual compound
Coxeter diagram
Stellation coreicosidodecahedron
Convex hullRhombic triacontahedron
IndexW47
Polyhedra1 icosahedron
1 dodecahedron
Faces20 triangles
12 pentagons
Edges60
Vertices32
Symmetry groupicosahedral (Ih)

In geometry, this polyhedron can be seen as either a polyhedral stellation or a compound.