# The Snub Dodecahedron

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

The snub dodecahedron is one of the thirteen archimedian solids. The pentagonal faces lie on the surface of a circumscribing dodecahedron, and twenty of the triangular faces lie on a circumscribing icosahedron.

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

3.3.3.3.5 | | 2 3 5 | 60 | 150 | 20+60 | 12 | A_{5} |
Pentagonal Hexecontahedron |

Edge ratios:

- `e/rho = 0.47686`
- `e/R = 0.46386`
- `e/(e_12) = 0.562`
- `e/(e_20) = 0.364`

where `e` is the edge length, `rho` is the inter-radius, `R` is the circum-radius, `e_12` is the edge of the circumscribing dodecahedron, and `e_20` is the edge of the circumscribing icosahedron.