Compound of five tetrahemihexahedra
Appearance
Compound of five tetrahemihexahedra | |
---|---|
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]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
[edit]References
[edit]- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457, doi:10.1017/S0305004100052440, MR 0397554.