The Small Stellated Dodecahedron
A non-convex polyhedron bounded by twelve intersecting pentagrams; five meeting at each vertex.
The small stellated dodecahecahedron is one of the four Kepler-Poinsot Star Polyhedra, and is also the first stellation of the dodecahedron.
| Vertex Symbol |
Wythoff Symbol |
No. of Vertices |
No. of Edges |
No. of Faces |
Symmetry Group |
Dual Polyhedron |
| (5/2)5 | 5 | 2 5/2 | 12 | 30 | 12 | A5×C2 | Great Dodecahedron |
|
Edge Inter-Radius |
= |
1 +  5
|
Edge Circum-Radius |
= |
(10 + 25)5
|
|
Edge In-Radius |
= |
(10 + 25)
|
Edge Dodecahedral Edge |
= |
3 + 5 2 |