In this intermediate research report, we sum up the current state of our work concerning the Affinity module of project Biose. The intent is to design a mathematical object representing an abstract shape: the matching key. Keys can be matched against each other to produce a match value. Keys can be mutated into other close, random keys. If we associate each node in a graph with one of these keys, then the relations between nodes only derive from the matching of the keys together. If we successively mutate the keys, the graph relations layout will take every possible configuration.