 Compound of five tetrahemihexahedra

Compound of five tetrahemihexahedra Type Uniform compound Index UC_{18} Polyhedra 5 tetrahemihexahedra Faces 20 Triangles,
15 squaresEdges 60 Vertices 30 Symmetry group chiral icosahedral (I) Subgroup restricting to one constituent chiral tetrahedral (T) A compound of five tetrahemihexahedra is a uniform polyhedron compound and a symmetric arrangement of five tetrahemihexahedra. It is chiral with icosahedral symmetry (I).
Related polyhedra
Its convex hull is an icosidodecahedron. It shares its edges and triangular faces with the compound of five octahedra.
Icosidodecahedron
Compound of five octahedra
Compound of five tetrahemihexahedraReferences
 Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society 79: 447–457, doi:10.1017/S0305004100052440, MR0397554.
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