In geometry, this polyhedron can be seen as either a polyhedral stellation or a compound.
It has icosahedral symmetry (Ih) and the same vertex arrangement as a rhombic triacontahedron.
This polyhedron is the first stellation of the icosidodecahedron, and given as Wenninger model index 47.
The stellation facets for construction are: In the film Tron (1982), the character Bit took this shape when not speaking.
In the cartoon series Steven Universe (2013-2019), Steven's shield bubble, briefly used in the episode Change Your Mind, had this shape.