The Great Icosahedron
A non-convex polyhedron bounded by twenty intersecting triangular faces. It has twelve '5/2' star vertices.
The great icosahedron is one of the four Kepler-Poinsot Star Polyhedra, and is also a stellation of the icosahedron.
| Vertex Symbol |
Wythoff Symbol |
No. of Vertices |
No. of Edges |
No. of Faces |
Symmetry Group |
Dual Polyhedron |
| 35/2 | 5/2 | 2 3 | 12 | 30 | 20 | A5×C2 | Great Stellated Dodecahedron |
|
Edge Inter-Radius |
= |
1 +  5
|
Edge Circum-Radius |
= |
(10 + 25)5
|
|
Edge In-Radius |
= |
(10 + 25)
|
Edge Icosahedral Edge |
= |
7 + 35 2 |