design notes on lateral and diagonal bisects

I've been working on breaking 2-D composition down to its most basic components: line and shape.  There's a lot of different ways of looking at it, but I've found that the 3 foundational layouts on a rectangular canvas are vertical, horizontal and diagonal bisects.  Or in math terms, y = x, y = 0, and x = 0 in a Cartesian coordinate plane.

This is where the approach diverges.  The diagrammatic lines can be thought of as delineating interior shapes, or defining directional line segments (vectors).  In the case of shapes a diagonal bisect would give two opposing triangles.  In the case of vectors you would have the line denote a directional movement as in the example of a plane crash.

These are the basic frameworks.  For simplicity's sake I avoided talking about the types of geometric transformations that would move the bisecting lines away from the center axis.  I did, however, include the framework for a spiral built from vertical and horizontal bisects to show that these elements can be incredibly powerful for building complex structures to support interesting compositions.