Compound of ten triangular prisms | |
---|---|
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.
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Transcription
Related polyhedra
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.
This page was last edited on 26 August 2022, at 20:47