Concept

Compound of dodecahedron and icosahedron

Summary
In geometry, this polyhedron can be seen as either a polyhedral stellation or a compound. 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. This can be seen as the three-dimensional equivalent of the compound of two pentagons ({10/2} "decagram"); this series continues into the fourth dimension as the compound of 120-cell and 600-cell and into higher dimensions as compounds of hyperbolic tilings. 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. In the cartoon series Steven Universe (2013-2019), Steven'
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