Compound of great icosahedron and great stellated dodecahedron

15th stellation of icosidodecahedron
Typestellation and compound
Coxeter diagram
Convex hullRhombic triacontahedron
Polyhedra1 great icosahedron
1 great stellated dodecahedron
Faces20 triangles
12 pentagrams
Edges60
Vertices32
Symmetry groupicosahedral (Ih)

This polyhedron can be seen as either a polyhedral stellation or a compound.

As a compound

It can be seen as a polyhedron compound of a great icosahedron and great stellated dodecahedron. It is one of five compounds constructed from a Platonic solid or Kepler-Poinsot solid, and its dual.

It has icosahedral symmetry (Ih) and it has the same vertex arrangement as a rhombic triacontahedron.


great icosahedron

great stellated dodecahedron

As a stellation

This polyhedron, is the 15th stellation of the icosidodecahedron, and given as Wenninger model index 61.

The stellation facets for construction are:


Facets from triangle

Facets from pentagon

References

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