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 (Dnph)
Subgroup restricting to one constituent p-fold prismatic (Dph)

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 Dnph.

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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