How to Create Attractors for Realistic Images

In our generative AI system, it's fairly common to see similar discontinuous changes in behavior even when an internal parameter is continuously changed. So as another example, slightly closer to image generation consider, as we did actually above, a one-dimensional cellular automaton that exhibits class two behavior and evolves from any initial state to some fixed final state. The particular rule we're using here has four possible colors for each cell and is defined by just 64 discrete values from zero to three. Here are some examples of what we get, always starting from the same initial condition as we did before.