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 | A5×C2 | 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.