Compound of the small stellated dodecahedron and the great dodecahedron
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| Compound of the small stellated dodecahedron and the great dodecahedron | |
|---|---|
 | |
| Rank | 3 |
| Type | Dual compound |
| Elements | |
| Components | 1 great dodecahedron, 1 small stellated dodecahedron |
| Faces | 12 pentagons, 12 pentagrams |
| Edges | 30 + 30 |
| Vertices | 12 + 12 |
| Petrie polygons | 10 + 10 skew hexagons |
| Holes | 20 + 20 triangles |
| Related polytopes | |
| Dual | Compound of the small stellated dodecahedron and the great dodecahedron |
| Convex hull | Icosahedron |
| Abstract & topological properties | |
| Flag count | 240 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3, order 120 |
| Convex | No |
The compound of the small stellated dodecahedron and the great dodecahedron is a polyhedron compound made from the dual pair of the small stellated dodecahedron and the great dodecahedron.
This compound is abstractly regular, being the compound of two abstractly equivalent polyhedra. Its realization can be considered regular if one also counts conjugacies as symmetries.
External links[edit | edit source]
- Weisstein, Eric W. "Great Dodecahedron-Small Stellated Dodecahedron Compound" at MathWorld.
- Wikipedia Contributors. "Compound of small stellated dodecahedron and great dodecahedron".