Compound of great icosahedron and great stellated dodecahedron

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15th stellation of icosidodecahedron
Compound of great icosahedron and stellated dodecahedron.png
Type stellation and compound
Coxeter diagram CDel node 1.pngCDel 5-2.pngCDel node.pngCDel 3.pngCDel node.pngCDel node.pngCDel 5-2.pngCDel node.pngCDel 3.pngCDel node 1.png
Convex hull Rhombic triacontahedron
Polyhedra 1 great icosahedron
1 great stellated dodecahedron
Faces 20 triangles
12 pentagrams
Edges 60
Vertices 32
Symmetry group icosahedral (Ih)

This polyhedron can be seen as either a polyhedral stellation or a compound.

As a compound[edit]

It can be seen as a polyhedron compound of a great icosahedron and great stellated dodecahedron. It is one of five compounds constructed from a Platonic solid or Kepler-Poinsot solid, and its dual.

It has icosahedral symmetry (Ih) and it has the same vertex arrangement as a rhombic triacontahedron.

Great icosahedron.png
great icosahedron
Great stellated dodecahedron.png
great stellated dodecahedron

As a stellation[edit]

This polyhedron, is the 15th stellation of the icosidodecahedron, and given as Wenninger model index 61.

The stellation facets for construction are:

Second compound stellation of icosidecahedron facets.png
Facets from triangle
Second compound stellation of icosidecahedron pentfacets.png
Facets from pentagon

References[edit]

External links[edit]