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// Workers AI · dad joke modeWhat did the octahedron say? I'm a sharp dresser.

From Wikipedia, the free encyclopedia
Compound of eight triangular prisms
TypeUniform compound
IndexUC31
Polyhedra8 triangular prisms
Faces16 triangles,
24 squares
Edges72
Vertices48
Symmetry groupoctahedral (Oh)
Subgroup restricting to one constituent3-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.