Rule 22 with various different simple initial conditions. In the top four cases, the pattern produced ultimately has a simple nested form. But in the bottom case, it is instead in many respects random, much like rule 30.
![](/nks/pages/p263--randomness-in-class-3-systems/image-xlarge.png)
![](/nks/pages/p263--randomness-in-class-3-systems/image-large.png)
![](/nks/pages/p263--randomness-in-class-3-systems/image-medium.png)
![](/nks/pages/p263--randomness-in-class-3-systems/image-small.png)
Rule 22 with various different simple initial conditions. In the top four cases, the pattern produced ultimately has a simple nested form. But in the bottom case, it is instead in many respects random, much like rule 30.
From Stephen Wolfram: A New Kind of Science [citation]