I guess if there’s one class VI pattern, all its descendants are also class VI, and since it doesn’t oscillate, it would need to grow forever to be class VI
A class VI pattern’s possible ancestors would also ALL need to be class VI, going infinitely far back. I may have missed something, but it seems to me like a class VI pattern would need to extend infinitely far in one or more (probably both) directions
It would have to be unbound, rather than infinite. But the basic idea is that in a finite space, you can only have a finite number of configurations. And this allows you to predict exactly if the pattern is going to repeat or not.