Because synergetics defines the tetrahedron to serve as the prime unit of volume, instead of the cube, other polyhedra, traditionally presented with irrational volumes, have whole number or simple fractional volumes in the context of the concentric hierarchy. For example, canon balls and grocery store oranges are typically stacked in a tetrahedral conformation. The number of intervals between spheres along an edge is identified with the concept of Frequency in synergetics, and formulae relating Frequency to sphere counts provide a quick way of counting canon balls and oranges. Isotropic Vector Matrix Synergetics embeds polyhedra in a space-filling grid pattern known as the isotropic vector matrix. Geodesic Domes and Spheres Fuller derived geodesic spheres and domes within the context of more general geometric investigations.
Artifacts make a tremendous difference to living standards, both positively and negatively.
A design science approach to econospheric evolution is about accentuating the positive. Synergetics aims to support design science toward this end, along with any other self-disciplines aimed at boosting humanity into a sustainable, high living standards phase. The Fuller Projection, like the geodesic dome, derives from synergetic geometry. It features very low distortion and shows all the earth's landmasses in a continuous layout, without any interruption by the map's edges. To assist humans to break loose from their more parochial viewpoints, he copy-protected his map against being used to display political boundary data, i.e. the Fuller Projection is inherently nationless.