A One-Parameter Family of Polyhedra with Two Kinds of Symmetries

parameter

reset rotate to 0 to change axis of rotation

axis of rotation

three-fold

two-fold

rotate

0

This Demonstration shows a one-parameter family of polyhedra with two kinds of symmetry. The two-fold symmetry is called

T

h

symmetry, that is, tetrahedral rotational symmetry with a mirror plane.