Now let us provide a concise overview of the spectrum of our most important expectations:

1. The orbits shall fit to spherical surfaces (simplest case).


2. The orbits shall consist partly of flat circle segments with always the same radius


3. The orbits shall be continuous, kink-free and closed.


4. The space curves shall be completely composed of parts that allow self-interaction in any spatial direction; i.e. at each point of the orbit there must be at least one spatial direction in which an orbital segment already travelled is parallel to the orbital segment being examined. Moreover, the continuation of this parallel orbital segment must result in a closed continuous space curve (satisfying the magnetic field theorem) in this spatial direction.

These requirements lead to the five regular polyhedrons that are known to inscribe, escribe and circumscribe spheres. Since the surfaces and vertices of these polyhedrons are congruent one can be sure that flat arc segments of a circle that escribe or circumscribe the faces or edges of these polyhedrons can lead to closed, continuous and kink-free space curves. In fact: our model studied thus far really circumscribes an octahedron and simultaneously escribes a tetrahedron because one only has to consider the four planes in which the four small circle arcs of our model are located. We see that these four planes form a tetrahedron. Consequently, we have to assume that this model of the tetrahedron/octahedron type can again be found among the elementary particles.

But before we start constructiing the elementary particles models, we want to add a fifth requirement:

5. The orbital segments of self-interaction, which have been travelled parallel in any spatial direction, shall be travelled by charged particles moving in any case in the same sense of revolution because otherwise self-interaction would not be imaginable if the rotational senses were contrary to each other.