Prismatic compound of prisms with rotational freedom explained

bgcolor=#e7dcc3 colspan=2Compound of 2n p/q-gonal prisms with rotational freedom
align=center colspan=2 (n=2, p=4, q=1)
TypeUniform compound
IndexUC20
Polyhedra2n p/q-gonal prisms
Faces4n, 2np squares
Edges6np
Vertices4np
Symmetry groupnp-fold prismatic (Dnph)
Subgroup restricting to one constituentp-fold rotation (Cph)
Each member of this infinite family of uniform polyhedron compounds is a symmetric arrangement of prisms sharing a common axis of rotational symmetry. It arises from superimposing two copies of the corresponding prismatic compound of prisms (without rotational freedom), and rotating each copy by an equal and opposite angle.

This infinite family can be enumerated as follows:

References