Compound of dodecahedron and icosahedron
From Infogalactic: the planetary knowledge core
First stellation of icosidodecahedron | |
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Type | Dual compound |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() |
Stellation core | icosidodecahedron |
Convex hull | Rhombic triacontahedron |
Index | W47 |
Polyhedra | 1 icosahedron 1 dodecahedron |
Faces | 20 triangles 12 pentagons |
Edges | 60 |
Vertices | 32 |
Symmetry group | icosahedral (Ih) |
File:Dodecahedron-icosahedron compound 01 Pengo.jpg
A rendering of a wooden dodecahedron-icosahedron compound.
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.
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
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