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This polyhedron can be seen as either a polyhedral stellation or a compound.
Contents
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.
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:
References
Compound of great icosahedron and great stellated dodecahedron Wikipedia(Text) CC BY-SA