Compound of five tetrahemihexahedraTypeUniform compoundIndexUC18Polyhedra5 tetrahemihexahedraFaces20 triangles,15 squaresEdges60Vertices30Symmetry groupchiral icosahedral (I)Subgroup restricting to one constituentchiral tetrahedral (T) A compound of five tetrahemihexahedra is a uniform polyhedron compound and a symmetric arrangement of five tetrahemihexahedra. It could be also called a hemirhombichiricosahedron. It is chiral with icosahedral symmetry (I).
Related polyhedra
Its convex hull is an icosidodecahedron. Hence it is a faceting of an icosidodecahedron, shown at left. It shares its edges and triangular faces with the compound of five octahedra.
IcosidodecahedronCompound of five octahedraCompound of five tetrahemihexahedra See also Compound of twenty tetrahemihexahedra
References .