TRIANGLE CONCEPT

There are geometric bodies known as polyhedra, which are assembled from regular repeating unit shapes, each of which are interchangeable.  Each of these polyhedron approximates a sphere, or spherical section.  The regular geometric shapes which assemble into and constitute a polyhedron are triangles, squares, pentagons hexagons, and a few other polygons.  It is critical to note that any polygon with more than three sides can be made into triangles.   For example, a pentagon can be assembled from 5 triangles; a hexagon can be assembled from 6 triangles, etc.
 

 
This means that all regular polyhedra can be assembled from triangular shapes.  Each of these triangular shapes is interchangeable across the assembled dome or sphere.  This is in direct contrast with rectangular or square shapes which lines of latitude and longitude describe on a sphere or spherical section, such as a dome.  This means that the number of different shapes is reduced to a bare minimum, and that blocks are interchangeable in a structure.   This feature makes for a much easier and greatly simplified method of construction.