Date: May 8, 2013 11:40 AM
Author: Joe Niederberger
Subject: Re: Based on the quadrilateral tree
What bugs me about this post is the the taking of the *tree* structure to be fundamentally important, rather than investigating the properties of 4-gons and seeing what structure they naturally lead to, all labels aside.
The notion of a (graph-theory) tree, though, being both mathematical and ubiquitous even through non-math circles as a organizing principle, lends a pseudo-mathematical "rigor" and officious weight to the whole misbegotten proceeding.
Get the (correct, non-tree) structure of properties across, put the labels on afterwards, note the historic confusions for what they are.