  In 2010 Santos described the construction of a counterexample to the Hirsch
conjecture, and in 2012 Santos and Weibel provided the coordinates for the 40
facets of a 20-dimensional counterexample. In this paper we explore technical
details of the construction using Santos and Weibel's work as the motivating
example.
  Santos presented the construction in the dual setting. Here we return to the
primal setting, in which Santos' construction calls for repeated application of
a perturbed wedge operation, a wedge over a facet followed by a perturbation of
one or more other facets. We show that the starting point for the construction
is a counterexample "P5" to the nonrevisiting conjecture in dimension 5.
However, this polytope P5 is not a simple polytope; it contains two nonsimple
vertices. As we repeatedly apply the perturbed wedge, the nonsimplicities grow
in dimension while their excess is reduced. Finally in dimension 20, the
resulting polytope is simple and its diameter exceeds the Hirsch bound by 1.
  These notes are a technical companion to the work of Santos and Weibel.
