The Great Dodecahedron

A non-convex polyhedron bounded by twelve intersecting pentagonal faces. It has twelve '5/2' star vertices.

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

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
No. of
Faces
Symmetry
Group
Dual Polyhedron
(5)5/2 5/2 | 2 5 12 30 12 A5×C2 Small Stellated
Dodecahedron

Edge ratios:

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.