This is the most distinctive part of the Waterman method. Annoyingly, this is also the part with the most algorithms; however, as some of these are commutators, they can be easily remembered.
The original notation that Waterman used to describe the cases is very cumbersome and confusing. I have attempted to simplify it here, by just showing the actual case on a cube. However, this may still prove confusing at times. If anyone is still confused, email me, and I'll try and simplify further.
The general strategy here is to solve two R edges simultaneously, and then solve the other two edges in the R layer while orienting all M edges.
Refer to the R turn page for information about the (R) turns.
Due to the number of algorithms, substeps 1 and 2 have been split into separate pages. See here: