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Great dodecahedron
| Great dodecahedron | |
|---|---|
 | |
| Type | Kepler–Poinsot polyhedron |
| Faces | 12 |
| Edges | 30 |
| Vertices | 12 |
| Symmetry group | icosahedral symmetry |
| Dual polyhedron | small stellated dodecahedron |
| Properties | regular, non-convex |
| Vertex figure | |
 | |
In geometry, the great dodecahedron is one of four Kepler–Poinsot polyhedra. It is composed of 12 pentagonal faces (six pairs of parallel pentagons), intersecting each other making a pentagrammic path, with five pentagons meeting at each vertex.
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