Great stellated dodecahedron
| Great stellated dodecahedron | |
|---|---|
 | |
| Type | Kepler-Poinsot solid |
| Faces | 12 pentagrams |
| Edges | 30 |
| Vertices | 20 |
| Vertex configuration | {5/2,3} |
| Wythoff symbol | 3|25/2 |
| Symmetry group | icosahedral Ih |
| Dual polyhedron | Great icosahedron |
| Properties | concave |
In geometry, the great stellated dodecahedron is a Kepler-Poinsot solid. It is one of four concave regular polyhedra.
It is composed of 12 pentagrammic faces, with three pentagrams meeting at each vertex.
The 20 vertices match the vertices of a dodecahedron.
Shaving the pointy things off results in an icosahedron.
It is counted by Wenninger as model [W22] and the third and last stellation of the dodecahedron.
Animated
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