Small hexagrammic hexecontahedron
Introduction 3D model of a small hexagrammic hexecontahedronIn geometry, the '''small hexagrammic hexecontahedron''' is a nonconvex isohedral polyhedron. It is the dual of the small retrosnub icosicosidodecahedron. It is partially degenerate, having coincident vertices, as its dual has coplanar triangular faces.
Geometry Its faces are hexagonal stars  with two short and four long edges. Denoting the golden ratio by  and putting , the stars have five equal angles of  and one of . Each face has four long and two short edges. The ratio between the edge lengths is :. The dihedral angle equals . Part of each face is inside the solid, hence is not visible in solid models.
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