The Great Rhombicuboctahedron
A semi-regular polyhedron with a square, a hexagon, and an octagon meeting at each vertex.
The great rhombicuboctahedron is one of the thirteen archimedian solids. Each of its faces belongs to one of three circubscribing solids: the cube, the octahedron and the rhombic dodecahedron.
| Vertex Symbol |
Wythoff Symbol |
No. of Vertices |
No. of Edges |
{4} Faces |
{6} Faces |
{8} Faces |
Symmetry Group |
Dual Polyhedron |
| 4.6.8 | 2 3 4 | | 48 | 72 | 12 | 8 | 6 | S4×C2 | Hexakis Octahedron |
|
Edge Inter-Radius |
= |
 (6 – 32)3 |
Edge Circum-Radius |
= |
2(13 – 62)97
|
|
Edge Cubic Edge |
= |
22 – 1 7 |
Edge Octahedral Edge |
= |
2 – 2 3 |
Edge Long Rhombic Diangonal |
= |
3 – 2 7 |