Excavated dodecahedron

The 30 other internal edges are longer and belong to a great stellated dodecahedron.

Each face is a self-intersecting hexagon with alternating long and short edges and 60° angles.

The 20 vertices of the convex hull match the vertex arrangement of the dodecahedron.

With six six-sided faces around each vertex, it is topologically equivalent to a quotient space of the hyperbolic order-6 hexagonal tiling, {6,6} and is an abstract type {6,6}6.

It is one of ten abstract regular polyhedra of index two with vertices on one orbit.