Sensor and network topologies of formations with direction, bearing, and angle information between agents

Sensor and network topologies of formations of autonomous agents are considered. The aim of the paper is to suggest an approach for such topologies for formations with direction, bearing and angle information between agents in the plane and in 3-space. A number of results are translated from prior work in this field and in the study of constraints in CAD programming, in rigidity theory, in structural engineering and in discrete mathematics. Some new results are presented both for the plane and for 3-space. A number of unsolved problems are also mentioned.