In geometry, the great hexagonal hexecontahedron (or great astroid ditriacontahedron) is a nonconvex isohedral polyhedron. It is the dual of the uniform great snub dodecicosidodecahedron. It is partially degenerate, having coincident vertices, as its dual has coplanar pentagrammic faces.
The faces are nonconvex hexagons. Denoting the golden ratio by
\phi
\arccos(-\phi-1) ≈ 128.17270762701\circ
360\circ-\arccos(-\phi-1) ≈ 231.82729237299\circ
90\circ
2
1+\phi-3/2 ≈ 1.48586827176
1-\phi-3/2 ≈ 0.51413172824
90\circ