Compound of great icosahedron and great stellated dodecahedron
| 15th stellation of icosidodecahedron | |
|---|---|
 | |
| Type | stellation and compound |
| Coxeter diagram |     ∪ |
| 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
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 |
 great stellated dodecahedron |
As 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 pentagon |
References
- Wenninger, Magnus (1974). Polyhedron Models. Cambridge University Press. ISBN 0-521-09859-9., p. 90.
- Wenninger, Magnus (1983). Dual Models. Cambridge University Press. ISBN 0-521-54325-8., pp. 51-53.
- H. Cundy and A. Rollett Great Icosahedron Plus Great Stellated Dodecahedron. §3.10.4 in Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., pp. 132-133, 1989.
External links
- Weisstein, Eric W., "Great Icosahedron-Great Stellated Dodecahedron Compound", MathWorld.
- Great Stellated Dodecahedron plus Great Icosahedron - metallic paper model
- VRML George Hart: VRML transparent model
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