I personally find the bagua applications the hardest to fathom. Peter Southwood quotes Wang Shu Jin to Sifu regarding bagua; explaining how the student must find the applications for themselves. Accordingly, Peter expected Sifu to produce at least 7 applications for every form posture (tai chi & bagua), and then he assessed them for viability.
This emphasis upon martial credibility was at the heart of Peter's teachings and is the centre of Sifu's as well.