Compound of ten triangular prisms

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.

Compound of ten triangular prisms
TypeUniform compound
IndexUC32
Polyhedra10 triangular prisms
Faces20 triangles,
30 squares
Edges90
Vertices60
Symmetry groupchiral icosahedral (I)
Subgroup restricting to one constituent3-fold dihedral (D3)

This compound shares its vertex arrangement with three uniform polyhedra as follows:


convex hull

Rhombidodecadodecahedron

Icosidodecadodecahedron

Rhombicosahedron

Compound of ten triangular prisms

Compound of twenty triangular prisms

References

  • Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457, doi:10.1017/S0305004100052440, MR 0397554.


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