The Great Rhombicosidodecahedron
A semi-regular polyhedron with a square, a hexagon, and a decagon meeting at each vertex.
The great rhombicosidodecahedron is one of the thirteen archimedian solids. Each of its faces belongs to one of three circubscribing solids: the dodecahedron, the icosahedron, and the Rhombic Triacontahedron.
| Vertex Symbol |
Wythoff Symbol |
No. of Vertices |
No. of Edges |
{4} Faces |
{6} Faces |
{10} Faces |
Symmetry Group |
Dual Polyhedron |
| 4.6.10 | 2 3 5 | | 120 | 180 | 30 | 20 | 12 | A5×C2 | Hexakis Icosahedron |
|
Edge Inter-Radius |
= |
 2 tan18°3
|
Edge Circum-Radius |
= |
2(31 – 125)241
|
|
Edge Icosahedral Edge |
= |
5 – 1 6 |
Edge Dodecahedral Edge |
= |
1 + 5 10 |
Edge Long Rhombic Diagonal |
= |
7 – 5 22 |