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 nâÂÂ¥1 and for each rational number p/q>2 (expressed with p and qcoprime), there occurs the compound of np/q-gonal prisms, with symmetry group D<sub>nph</sub>.