Compound of four octahedra | |
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Type | Uniform compound |
Index | UC12 |
Convex hull | Nonuniform truncated cube |
Polyhedra | 4 octahedra |
Faces | 8+24 triangles |
Edges | 48 |
Vertices | 24 |
Symmetry group | octahedral (Oh) |
Subgroup restricting to one constituent | 3-fold antiprismatic (D3d) |
The compound of four octahedra is a uniform polyhedron compound. It's composed of a symmetric arrangement of 4 octahedra, considered as triangular antiprisms. It can be constructed by superimposing four identical octahedra, and then rotating each by 60 degrees about a separate axis (that passes through the centres of two opposite octahedral faces).
Its dual is the compound of four cubes.