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 | A5×C2 |
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,