Many of these are quite beautiful.

The NKS-style question to ask here is: what computations are these doing? Totally unique-unto-themselves computations? Potentially useful computations? Computations analogous to familiar human ones? How would we know? Can we know? Do we run into the limits of undecidability?

The cyclic boundary conditions somewhat 'spoil' things, though. Maybe a particular rule was "destined to multiply input by 5" or "calculate log-2 of input" or something (given suitable encoding of input on the tape), but the computation is foiled as soon as the machine wraps around and starts interfering with itself.

Then again, the self-interference is what makes many of these patterns do the cool things they do.