Time step graphs generated by τ(i,j) at different levels of the time step hierarchy (left to right) for three values (top to bottom rows) of the fractal dimension. We plot particles that have been passed on as a part of a connected component from the previous time step level as black, grey points indicate points that are inactive on a given level (because they formed a single or binary component at a lower level). Thin grey lines indicate interactions with τ(i,j) <h. Indicated in each frame are the fractal dimension (top left), and (on the bottom right) the level in the hierarchy, the number of connected components (cc) at this level, as well as the number of components that are single (s) and binary (b), and the total number of particles.