Compound of four triangular prisms

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Template:Short description

Compound of four triangular prisms
File:UC30-4 triangular prisms.png
Type Uniform compound
Index UC30
Polyhedra 4 triangular prisms
Faces 8 triangles,
12 squares
Edges 36
Vertices 24
Symmetry group chiral octahedral (O)
Subgroup restricting to one constituent 3-fold dihedral (D3)

This uniform polyhedron compound is a chiral symmetric arrangement of 4 triangular prisms, aligned with the axes of three-fold rotational symmetry of an octahedron.

Cartesian coordinates

Cartesian coordinates for the vertices of this compound are all the even permutations of

(±1, ±(1+Template:Radic), ±(1−Template:Radic))

with an even number of minuses in the '±' choices, together with all the odd permutations with an odd number of minuses in the '±' choices.

References

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