The Small Rhombicuboctahedron
A semi-regular polyhedron with three squares and a triangle meeting at each vertex.
The small 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 |
{3} Faces |
{4} Faces |
Symmetry Group |
Dual Polyhedron |
| 3.4.4.4 | 3 4 | 2 | 24 | 48 | 8 | 6+12 | S4×C2 | Trapezoidal Icositetrahedron |
|
Edge Inter-Radius |
= |
 (2 – 2)
|
Edge Circum-Radius |
= |
2(5 – 22)17
|
|
Edge Cubic Edge |
= |
2 – 1
|
Edge Octahedral Edge |
= |
32 – 2 7 |
Edge Long Rhombic Diagonal |
= |
2 – 1
|