This analysis offers several tools for the study, for example: the de Bruijn diagrams, the subset diagrams (or power set), the pair diagrams (or cartesian product), the cycle diagrams (or topologic trees), a matrix analysis and other tools like the mean field theory and block probabilities reflected as curves in the cartesian plane, contours or surfaces.
The problem to cover the evolution space with triangles is not mentioned by Cook or Wolfram, this approach allows to see the evolution space in a discrete way and it raises some interesting questions about finite shifts [10]. An interesting question is to know which is the largest triangle in the evolution space and if this one can be produced by some collisions as it is seen in [24]. His most recent publication discusses the universality of Rule 110 in [25].