# The Great Ditrigonal Dodecicosidodecahedron

A non-convex semi-regular polyhedron.

The great ditrigonal dodecicosidodecahedron is one of the stellated archimedians.

Vertex Symbol |
Wythoff Symbol |
No. of Vertices |
No. of Edges |
{10/3} Faces |
{3} Faces |
{5} Faces |
Symmetry Group |

3.10/3.5.10/3 | 3 5 | 5/3 | 60 | 120 | 12 | 20 | 12 | A_{5}×C_{2} |

Edge ratios:

- `e/rho = sqrt((10+2sqrt(5))/15)`
- `e/R = sqrt((34+6sqrt(5))/61)`
- `e/e_(12)^(-) = (17+7sqrt(5))/22`
- `e/e_(12)^(+) = (5+3sqrt(5))/10`
- `e/e_(20) = (8+3sqrt(5))/19`

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, `e_(12)^+` is the edge of the outer dodecahedron, and `e_(20)` is the edge of the icosahedron.