Compound of great icosahedron and great stellated dodecahedron
From Wikipedia, the free encyclopedia
| 15th stellation of icosidodecahedron | |
|---|---|
 |
|
| Type | stellation and compound |
| 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.
[edit] 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 Kepler-Poinsot solid, and its dual.
It has icosahedral symmetry (Ih) and it has the same vertices as a rhombic triacontahedron.
 great icosahedron |
 great stellated dodecahedron |
[edit] 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 |
[edit] References
- Wenninger, Magnus (1974). Polyhedron Models. Cambridge University Press. ISBN 0-52-109859-9.
