Figure 3.

The Procrustes fit of the transformed and relabelled copies of a single triangle to the symmetric consensus. The diagram shows the symmetric mean shape (bold solid triangle) and six copies of the triangle that have been transformed and relabelled using six symmetry transformations: the identity, rotations of order 3, and combinations of reflection with rotations (i.e. this is the same symmetry group as in Figure 2). Copies of the triangle for which the transformation does or does not include reflection about the vertical axis are distinguished by dashed and dotted lines.