title: Prismatic compound of prisms
text: # Prismatic compound of prisms
  
  Compound of n p/q-gonal prisms :
  
  | (n=2, p=5, q=2) ||
  | - | - |
  | Type | Uniform compound |
  | Index | $UC_{21}$ |
  | 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:
  
  