Compound of five tetrahemihexahedra

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Compound of five tetrahemihexahedra
UC18-5 tetrahemihexahedron.png
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[edit]

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

References[edit]

  • Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79: 447–457, doi:10.1017/S0305004100052440, MR 0397554 .