Compound of twenty octahedra

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Compound of twenty octahedra
Type Uniform compound
Index UC14
Polyhedra 20 octahedra
Faces 40+120 triangles
Edges 240
Vertices 60
Symmetry group icosahedral (Ih)
Subgroup restricting to one constituent 6-fold improper rotation (S6)

This uniform polyhedron compound is a symmetric arrangement of 20 octahedra (considered as triangular antiprisms). It is a special case of the compound of 20 octahedra with rotational freedom, in which pairs of octahedral vertices coincide.

It shares its edge arrangement with the great dirhombicosidodecahedron and the great disnub dirhombidodecahedron, and may be constructed as the exclusive or of the two enantiomorphs of the great snub dodecicosidodecahedron.

[edit] References

  • John Skilling, Uniform Compounds of Uniform Polyhedra, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 79, pp. 447-457, 1976.
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