- Compound of four triangular prisms
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Compound of four triangular prisms 
Type Uniform compound Index UC30 Polyhedra 4 triangular prisms Faces 8 triangles,
12 squaresEdges 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+√2), ±(1−√2))
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
- 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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