# The Great Ditrigonal Icosidodecahedron

A non-convex semi-regular polyhedron.

The great ditrigonal icosidodecahedron is one of the stellated archimedians.

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

(3.5)3/2 | 3/2 3 | 5 | 20 | 60 | 20 | 12 | A_{5}×C_{2} |

Edge ratios:

- `e/rho = sqrt(2)`
- `e/R = 2/sqrt(3)`
- `e/e_(12) = (7+3sqrt(5))/2`
- `e/e_(20) = (5+3sqrt(5))/10`

where `e` is the edge length, `rho` is the inter-radius, `R` is the circum-radius, `e_(12)` is the edge of the dodecahedron, and `e_(20)` is the edge of the icosahedron,