Prismatic compound of prisms
Each member of this infinite family of uniform polyhedron compounds is a symmetric arrangement of prisms sharing a common axis of rotational symmetry.
Compound of n p/q-gonal prisms | |
---|---|
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) |
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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