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Complex systems are described with high-dimensional data that is hard tovisualise. Inselberg's parallel coordinates are one representation techniquefor visualising high-dimensional data. Here we generalise Inselberg's approach,and use it for visualising trajectories through high dimensional state spaces.We introduce two geometric projections of parallel coordinate representations-- 'plan tuple plots' and 'side tuple plots' -- and demonstrate a link betweenstate space and ordinary space representations. We provide examples from manydomains to illustrate use of the approach, including Cellular Automata, RandomBoolean Networks, coupled logistic maps, reservoir computing, searchalgorithms, Turing Machines, and flocking.

Visualising high-dimensional state spaces with "Tuple Plots"