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Compound of ten triangular prisms

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Compound of ten triangular prisms
Type Polyhedral compound
Index UC32
Polyhedra 10 triangular prisms
Faces 20 triangles,
30 squares
Edges 90
Vertices 60
Symmetry group chiral icosahedral (I)
Subgroup restricting to one constituent 3-fold dihedral (D3)

This uniform polyhedron compound is a chiral symmetric arrangement of 10 triangular prisms, aligned with the axes of three-fold rotational symmetry of an icosahedron.

It shares its vertices with the rhombidodecadodecahedron.

References

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