This paper describes a spatio-temporal configurations building approach, which has been applied to dynamics points in 1-dimensional space. In this approach, a temporal logic, Allen’s time intervals, is crossed with a new spatial logic based on topology called spatial states. These spatial states are derived from topological relationships and a new concept of degenerate topological relationships. This work is the first step of a PhD research aiming to create a generalized spatio-temporal reasoning model based on topological relationships between spatio-temporal histories .