Great hexagonal hexecontahedron
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
ϕ
, the hexagons have one angle of
They have two long edges, two of medium length and two short ones.
If the long edges have length
, the medium ones have length
The dihedral angle equals
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