Compound of ten octahedra
The compounds of ten octahedra UC15 and UC16 are two uniform polyhedron compounds. They are composed of a symmetric arrangement of 10 octahedra, considered as triangular antiprisms, aligned with the axes of three-fold rotational symmetry of an icosahedron. The two compounds differ in the orientation of their octahedra: each compound may be transformed into the other by rotating each octahedron by 60 degrees.
Compounds of ten octahedra | |
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Type | Uniform compound |
Index | UC15 and UC16 |
Polyhedra | 10 octahedra |
Faces | 20+60 triangles |
Edges | 120 |
Vertices | 60 |
Symmetry group | icosahedral (Ih) |
Subgroup restricting to one constituent | 3-fold antiprismatic (D3d) |
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