Parts I and II of the Report concern research in autonomous networks of the basis for the statement that life evolves in half-chaos. This part III, the last, completes this research in open networks. The report is a documentation of research, but it was completed after two publications on the occurrence of half-chaos in growing networks and shielding tendencies, which contained a significant part of this information, so it is only mentioned here for completeness and slightly supplemented. The main topic here is the verification of already published structural tendencies, with a newer, much less simplified algorithm. Structural tendencies in the evolution of complex networks are the cause of the classic, though currently controversial due to the lack of a known explanation, regularities in the evolution of ontogenesis. The presented research confirms the earlier theses, although the current picture of these phenomena turns out to be much more complex and requires the indicated further research.