Rubik's Cube techniques

Once you understand how to construct corner 3-cycles it is quite easy to extend the same idea to corner/edge pairs by treating pairs as single units. In the table below, the first column illustrates standard 3-cycles of corners, while the next three columns illustrate similar 3-cycles of pairs:

Note that (v2) and (v3) really achieve the same effect as (v1) when conjugated by a rotation of the bottom face. This means that it is not really necessary to use (v2) or (v3) unless you wish to save 1 move by choosing the column that already has the bottom face at the optimal starting rotation.