compound of eight triangular prisms
{{Short description|Polyhedral compound}}
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!bgcolor=#e7dcc3 colspan=2|Compound of eight triangular prisms | |
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| bgcolor=#e7dcc3|Type | Uniform compound |
| bgcolor=#e7dcc3|Index | UC31 |
| bgcolor=#e7dcc3|Polyhedra | 8 triangular prisms |
| bgcolor=#e7dcc3|Faces | 16 triangles, 24 squares |
| bgcolor=#e7dcc3|Edges | 72 |
| bgcolor=#e7dcc3|Vertices | 48 |
| bgcolor=#e7dcc3|Symmetry group | octahedral (Oh) |
| bgcolor=#e7dcc3|Subgroup restricting to one constituent | 3-fold dihedral (D3) |
This uniform polyhedron compound is a symmetric arrangement of 8 triangular prisms, aligned in pairs with the axes of three-fold rotational symmetry of an octahedron. It results from composing the two enantiomorphs of the compound of 4 triangular prisms.
References
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- {{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|bibcode=1976MPCPS..79..447S |mr=0397554|s2cid=123279687 }}.
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