Graphically exploring a sequence of data being of utmost importance, as emphasized by exploratory data analysis, we presented in this chapter various techniques for plotting the evolution of a system. Transposing techniques for continuous data that are time series plot and phase space, we developed innovative technique that specifically address the problem of categorical data, namely, the absence of quantified levels. The evolustrip, state transition diagram and dynamical Karnaugh map were shown to be appropriate methods for displaying the dynamics of system, should it be on a univariate or multivariate level. An animated version of the Karnaugh map was even suggested, so to better visualize the timely passage of configurations.
Of course, graphics are an essential step towards the understanding of the dynamics of a system. However researchers should not be satisfied with visual tools alone. A supplementary further step is required in order to test hypotheses or challenge intuitions that emerged from the visual inspection. The next chapter will provide sound statistical tools for more precise description of processes.