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Compound of eight triangular prisms

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Compound of eight triangular prisms
Type Uniform compound
Index UC31
Polyhedra 8 triangular prisms
Faces 16 triangles,
24 squares
Edges 72
Vertices 48
Symmetry group octahedral (Oh)
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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  • Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457, Bibcode:1976MPCPS..79..447S, doi:10.1017/S0305004100052440, MR 0397554, S2CID 123279687.