 Compound of great icosahedron and great stellated dodecahedron

15th stellation of icosidodecahedron Type stellation and compound Convex hull Rhombic triacontahedron Polyhedra 1 great icosahedron
1 great stellated dodecahedronFaces 20 triangles
12 pentagramsEdges 60 Vertices 32 Symmetry group icosahedral (I_{h}) This polyhedron can be seen as either a polyhedral stellation or a compound.
Contents
As a compound
It can be seen as a polyhedron compound of a great icosahedron and great stellated dodecahedron. It is one of four compounds constructed from a Platonic solid or KeplerPoinsot solid, and its dual.
It has icosahedral symmetry (I_{h}) and it has the same vertex arrangement as a rhombic triacontahedron.
great icosahedron
great stellated dodecahedronAs a stellation
This polyhedron, is the 15th stellation of the icosidodecahedron, and given as Wenninger model index 61.
The stellation facets for construction are:
Facets from triangle
Facets from pentagonReferences
 Wenninger, Magnus (1974). Polyhedron Models. Cambridge University Press. ISBN 0521098599., p. 90.
 Wenninger, Magnus (1983). Dual Models. Cambridge University Press. ISBN 0521543258., pp. 5153.
 H. Cundy and A. Rollett Great Icosahedron Plus Great Stellated Dodecahedron. §3.10.4 in Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., pp. 132133, 1989.
External links
 MathWorld Great Icosahedron Great Stellated Dodecahedron Compound
 Great Stellated Dodecahedron plus Great Icosahedron  metallic paper model
 VRML George Hart: VRML transparent model
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