# The Snub Cube

A semi-regular polyhedron with four triangles and a square meeting at each vertex.

The snub cube is one of the thirteen archimedian solids. The square faces lie on the surface of the circumscribing cube, and eight of the triangular faces lie on the circumscribing octahedron.

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

3.3.3.3.4 | | 2 3 4 | 24 | 60 | 8+24 | 6 | S_{4} |
Pentagonal Icositetrahedron |

Edge ratios:

- `e/rho = 0.80178`
- `e/R = 0.74421`
- `e/(e_6) = 0.43759`
- `e/(e_8) = 0.366`

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.