Great rhombihexacron
Introduction In geometry, the '''great rhombihexacron''' (or '''great dipteral disdodecahedron''') is a nonconvex isohedral polyhedron. It is the dual of the uniform great rhombihexahedron (U21). It has 24 identical bow-tie-shaped faces, 18 vertices, and 48 edges.It has 12 outer vertices which have the same vertex arrangement as the cuboctahedron, and 6 inner vertices with the vertex arrangement of an octahedron.As a surface geometry, it can be seen as visually similar to a Catalan solid, the disdyakis dodecahedron, with much taller rhombus-based pyramids joined to each face of a rhombic dodecahedron.
Proportions Each bow-tie has two angles of  and two angles of . The diagonals of each bow-tie intersect at an angle of . The dihedral angle equals .The ratio between the lengths of the long edges and the short ones equals .
Notes
References **  uniform polyhedra and duals