Compound of ten triangular prisms

Compound of ten triangular prisms
Compound of ten triangular prisms
UC32-10 triangular prisms.png
Type Uniform 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.

Relatde polyhedra

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

Rhombidodecadodecahedron convex hull.png
convex hull		 Rhombidodecadodecahedron.png
Rhombidodecadodecahedron		 Icosidodecadodecahedron.png
Icosidodecadodecahedron
Rhombicosahedron.png
Rhombicosahedron		 UC32-10 triangular prisms.png
Compound of ten triangular prisms		 UC33-20 triangular prisms.png
Compound of twenty triangular prisms

References

  • Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society 79: 447–457, doi:10.1017/S0305004100052440, MR0397554 .


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