About: Cayley configuration space
In mathematics, the Cayley configuration space of a over a set of its non-edges , called Cayley parameters, is the set of distances attained by over all its , under some -norm. In other words, each framework of the linkage prescribes a unique set of distances to the non-edges of , so the set of all frameworks can be described by the set of distances attained by any subset of these non-edges. Note that this description may not be a bijection. The motivation for using distance parameters is to define a continuous quadratic branched covering from the configuration space of a linkage to a simpler, often convex, space. Hence, obtaining a framework from a Cayley configuration space of a linkage over some set of non-edges is often a matter of solving quadratic equations.
