Energy has a shape.
A given amount of energy traveling in some direction for a certain amount of time is called a "vector".
By experimentation it can be demonstrated that the only self-stabilizing combination of vectors is the triangle.
So nature is building everything out of triangles.
For some thing to be called "matter" it must have an inside and an outside, otherwise it is called "radiation".
Anything with an inside and an outside is called a "system".
By experimentation it can be demonstrated that the tetrahedron is the minimum shape or structure that energy can take.
The minimum "thing" or system in the universe has to be a tetrahedron.
Anything less is not a system and does not have the properties of a system.
Systems can be made out of triangles.
By experimentation it can be demonstrated that only 3 basic systems can be constructed out of equilateral triangles: tetrahedra, octahedra, & icosahedra.
Therefore, all of nature must be built up from some combination or multiple of only those three basic systems.
Synergetics is the geometry of energy.