A One-Parameter Family of Polyhedra with Two Kinds of Symmetries
This Demonstration shows a one-parameter family of polyhedra with two kinds of symmetry. The two-fold symmetry is called symmetry, that is, tetrahedral rotational symmetry with a mirror plane.
The Demonstration illustrates Figure 8.24 in [1, p. 310]. The polyhedra in the family are face-transitive [1, p. 370].
 P. R. Cromwell, Polyhedra, Cambridge: Cambridge University Press, 1997.