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In geometry, this polyhedron can be seen as either a polyhedral stellation or a compound.
Contents
As a compound
It can be seen as the compound of an icosahedron and dodecahedron. It is one of four compounds constructed from a Platonic solid or Kepler-Poinsot solid, and its dual.
It has icosahedral symmetry (Ih) and the same vertex arrangement as a rhombic triacontahedron.
As a stellation
This polyhedron is the first stellation of the icosidodecahedron, and given as Wenninger model index 47.
The stellation facets for construction are:
In popular culture
In the film Tron (1982), the character Bit took this shape when not speaking.
References
Compound of dodecahedron and icosahedron Wikipedia(Text) CC BY-SA