Deltoidal Hexecontahedron
In geometry, a deltoidal hexecontahedron (also sometimes called a ''trapezoidal hexecontahedron'', a ''strombic hexecontahedron'', or a ''tetragonal hexacontahedron'') is a Catalan solid which is the dual polyhedron of the rhombicosidodecahedron, an Archimedean solid. It is one of six Catalan solids to not have a Hamiltonian path among its vertices. It is topologically identical to the nonconvex rhombic hexecontahedron. Lengths and angles The 60 faces are deltoids or kites. The short and long edges of each kite are in the ratio 1: ≈ 1:1.539344663... The angle between two short edges in a single face is arccos()≈118.2686774705°. The opposite angle, between long edges, is arccos()≈67.783011547435° . The other two angles of each face, between a short and a long edge each, are both equal to arccos()≈86.97415549104°. The dihedral angle between any pair of adjacent faces is arccos()≈154.12136312578°. Topology Topologically, the ''deltoidal hexecontahedron'' is identica ...
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