Prismatic compound of prisms
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| 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, there occurs the compound of n p/q-gonal prisms, with symmetry group Dnph.
[edit] References
- John Skilling, Uniform Compounds of Uniform Polyhedra, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 79, pp. 447-457, 1976.
