Compound of five tetrahemihexahedra

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Compound of five tetrahemihexahedra
UC18-5 tetrahemihexahedron.png
Type Uniform compound
IndexUC18
Polyhedra5 tetrahemihexahedra
Faces20 triangles,
15 squares
Edges60
Vertices30
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 could be also called a hemirhombichiricosahedron. It is chiral with icosahedral symmetry (I).

Contents

Five tetrahemihexahedra in an icosidodecahedron 5 thah in icosidodecahedron.png
Five tetrahemihexahedra in an icosidodecahedron

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.

Icosidodecahedron.png
Icosidodecahedron
Compound of five octahedra.png
Compound of five octahedra
UC18-5 tetrahemihexahedron.png
Compound of five tetrahemihexahedra

See also

References