# The Dodecadodecahedron

A non-convex semi-regular polyhedron.

The dodecadodecahedron is one of the stellated archimedians.

Vertex Symbol |
Wythoff Symbol |
No. of Vertices |
No. of Edges |
{5/2} Faces |
{5} Faces |
Symmetry Group |

5/2.5.5/2.5 | 3 | 3 5/2 | 30 | 60 | 12 | 12 | A_{5}×C_{2} |

Edge ratios:

- `e/rho = 2/sqrt(3)`
- `e/R = 1`
- `e/e_(12)^(-) = (2+sqrt(5))/2`
- `e/e_(12)^(+) = (3+sqrt(5))/4`

where `e` is the edge length, `rho` is the inter-radius, `R` is the circum-radius, `e_(12)^-` is the edge of the inner dodecahedron, and `e_(12)^+` is the edge of the outer dodecahedron,