Prismatic compound of prisms

Compound of n p/q-gonal prisms
(n=2, p=5, q=2)
Type	Uniform compound
Index	UC₂₁
Polyhedra	n p/q-gonal prisms
Faces	2n {p/q}, np squares
Edges	3np
Vertices	2np
Symmetry group	np-fold prismatic (D_nph)
Subgroup restricting to one constituent	p-fold prismatic (D_ph)

Each member of this infinite family of uniform polyhedron compounds is a symmetric arrangement of prisms sharing a common axis of rotational symmetry.

This infinite family can be enumerated as follows:

For each positive integer n>1 and for each rational number p/q>2 (expressed with p and q coprime), there occurs the compound of n p/q-gonal prisms, with symmetry group D_nph.

References

Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society 79: 447–457, doi:10.1017/S0305004100052440, MR 0397554 .