Table of integrated information atoms.

For each of the three Boolean systems, I performed the full integrated information decomposition, resulting in sixteen distinct ΦI atoms. The distinct global dynamics are reflected in the varying distributions of informative and misinformative information modes. I note that time-reversible systems (i.e. those where the probability of transitioning from state i to state j is the same as the reverse transition) have a more constrained and symmetrical structure than the heterogeneous system. Whether this is a universal fact about reversible versus irreversible dynamics remains an intriguing topic for future research.