Cellular Automaton Rule Classifier — Langton's λ Parameter

Wolfram's four qualitative classes of cellular-automaton behaviour — fixed, periodic, chaotic, and the complex "edge of chaos" — are usually shown one rule at a time. This simulator instead generates six random rule tables spread across Langton's λ parameter and runs them side by side in a single 3D scene, so the transition from order to periodicity to structured complexity to full chaos is visible directly as λ sweeps the rule space. Each panel's class label is computed live from its own row-to-row Hamming distance — the same empirical signature used to locate the edge of chaos in the cellular-automaton literature — rather than looked up from a table, so changing λ, the neighborhood radius, or the initial condition immediately re-derives the classification for every rule.