Compound of five tetrahemihexahedra explained

bgcolor=#e7dcc3 colspan=2	Compound of five tetrahemihexahedra
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Type	Uniform compound
Index	UC18
Polyhedra	5 tetrahemihexahedra
Faces	20 triangles, 15 squares
Edges	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. Hence it is a faceting of an icosidodecahedron, shown at left. It shares its edges and triangular faces with the compound of five octahedra.

See also

• Compound of twenty tetrahemihexahedra

References

• .