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.

Related polyhedraEdit

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

ReferencesEdit

  • 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.