Compound of dodecahedron and icosahedron

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First stellation of icosidodecahedron
Compound of dodecahedron and icosahedron.pngFirst stellation of icosidodecahedron.png
Type Dual compound
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)
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[edit]

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[edit]

This polyhedron is the first stellation of the icosidodecahedron, and given as Wenninger model index 47.

The stellation facets for construction are:

First stellation of icosidodecahedron facets.pngFirst stellation of icosidodecahedron pentfacets.png

In popular culture[edit]

In the film Tron (1982), the character Bit took this shape when not speaking.

References[edit]

External links[edit]