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

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)

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

gollark: I think the nice thing about Linuxen is that once you know some things the rest comes reasonably easily from there; unlike with Windows, where you can do the basic stuff easily but struggle to do complex things.

gollark: Probably mount configs, I think.

gollark: I mean, I think you can muck around with some option somewhere to not require chmod +x (or 755 or whatever), but you probably shouldn't.

gollark: If someone doesn't know the all the arcane lore of Windows, not their fault.

gollark: All is user error.

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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