# The Cuboctahedron

A semi-regular polyhedron with two squares and two triangles alternating around each vertex.

The cuboctahedron is one of the thirteen archimedian solids. It can be created by slicing suitable sections off the vertices of either a cube or an octahedron and thus may be inscribed in either solid.

Vertex Symbol |
Wythoff Symbol |
No. of Vertices |
No. of Edges |
{3} Faces |
{4} Faces |
Symmetry Group |
Dual Polyhedron |

3.4.3.4 | 2 | 3 4 | 12 | 24 | 8 | 6 | S_{4}×C_{2} |
Rhombic Dodecahedron |

Edge ratios:

- `e/rho = 2/sqrt(3)`
- `e/R = 1`
- `e/(e_6) = 1/sqrt(2)`
- `e/(e_8) = 1/2`

where `e` is the edge length, `rho` is the inter-radius, `R` is the circum-radius, `e_6` is the edge of the circumscribing cube, and `e_8` is the edge of the circumscribing octahedron.