Compound of five tetrahemihexahedra
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[]
![](http://upload.wikimedia.org/wikipedia/commons/thumb/a/a2/5_thah_in_icosidodecahedron.png/150px-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 |
![]() Compound of five octahedra |
![]() Compound of five tetrahemihexahedra |
See also[]
References[]
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79: 447–457, doi:10.1017/S0305004100052440, MR 0397554.
Categories:
- Polyhedral compounds
- Polyhedron stubs