Great rhombihexacron
In geometry, the great rhombihexacron is a nonconvex isohedral polyhedron. It is the dual of the uniform great rhombihexahedron. 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.
