The following organizational structures involve nodes, edges, directed edges, upward/downward/lateral connections, circularity, and incorporation.
They can be applied to many different biological, psychological, and sociological domains.
Individual
Anarchy
Linearchy
CircularLinearchy
Friendship
Employment
Family
Monarchy
Oligarchy
Democracy
Hierarchy
Union
Incorporation
Heterarchy
CircularHeterarchy
Organic (densely interconnected with multiple unions/organs)
This site was created in order to illustrate alternatives to hierarchies with unidirectional flow (of power, money, etc), which are convenient but often suffer from problems of scale.