Figure 6
Rotational versus dihedral symmetry. The critical difference is shown between cyclic patterns containing rotational combined with dihedral symmetry (left) and the same order of cyclic symmetry only (right), making the latter figure unbalanced and suggesting motion/rotation. This is illustrated for the simplest cyclic symmetry, order equal to 3. The correct symmetry-group symbols are D3 (or 32) and C3 (or 3), respectively. Tripod (left) versus triquetrum (right). Dashed lines indicate the positions and directions of the additional twofolds perpendicular to the main symmetry axis of order 3. The additional symmetry produces a `balanced' figure that will repeat any motif `left and right'. |