The Great Dodecahedron
A non-convex polyhedron bounded by twelve intersecting pentagonal faces. It has twelve '5/2' star vertices.
The great dodecahedron is one of the four Kepler-Poinsot Star Polyhedra, and is also the second stellation of the dodecahedron.
| Vertex Symbol |
Wythoff Symbol |
No. of Vertices |
No. of Edges |
No. of Faces |
Symmetry Group |
Dual Polyhedron |
| (5)5/2 | 5/2 | 2 5 | 12 | 30 | 12 | A5×C2 | Small Stellated Dodecahedron |
|
Edge Inter-Radius |
= |
 5 – 1
|
Edge Circum-Radius |
= |
(10 – 25)5
|
|
Edge In-Radius |
= |
(10 – 25)
|
Edge Dodecahedral Edge |
= |
1 + 5 2 |