compound of five tetrahemihexahedra
{{Short description|Polyhedral compound}}
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!bgcolor=#e7dcc3 colspan=2|Compound of five tetrahemihexahedra | |
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| bgcolor=#e7dcc3|Type | Uniform compound |
| bgcolor=#e7dcc3|Index | UC18 |
| bgcolor=#e7dcc3|Polyhedra | 5 tetrahemihexahedra |
| bgcolor=#e7dcc3|Faces | 20 triangles, 15 squares |
| bgcolor=#e7dcc3|Edges | 60 |
| bgcolor=#e7dcc3|Vertices | 30 |
| bgcolor=#e7dcc3|Symmetry group | chiral icosahedral (I) |
| bgcolor=#e7dcc3|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
File:5 thah in icosidodecahedron.png
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.
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See also
References
- {{citation|first=John|last=Skilling|title=Uniform Compounds of Uniform Polyhedra|journal=Mathematical Proceedings of the Cambridge Philosophical Society|volume=79|issue=3|pages=447–457|year=1976|doi=10.1017/S0305004100052440|mr=0397554}}.
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