# The Great Stellated Dodecahedron

A non-convex polyhedron bounded by twelve intersecting pentagrams; three meeting at each vertex.

The great stellated dodecahedron is one of the four Kepler-Poinsot Star Polyhedra, and is also the third and final stellation of the dodecahedron.

Vertex Symbol |
Wythoff Symbol |
No. of Vertices |
No. of Edges |
No. of Faces |
Symmetry Group |
Dual Polyhedron |

(5/2)^{3} |
3 | 2 5/2 | 20 | 30 | 12 | A_{5}×C_{2} |
Great Icosahedron |

Edge ratios:

- `e/r = sqrt(50+22sqrt(5))`
- `e/rho = 3 + sqrt(5)`
- `e/R = (1+sqrt(5))/sqrt(3)`
- `e/e_(12) = (11+5sqrt(5))/2`

where `e` is the edge length, `r` is the in-radius, `rho` is the inter-radius, `R` is the circum-radius, and `e_(12)` is the edge of the inner dodecahedron.