It seems like the pendulums fall into a few repeating patterns. E.g. for a second it looks like a snake, for another second it looks like a double helix, and so

It seems like the pendulums fall into a few repeating patterns. E.g. for a second it looks like a snake, for another second it looks like a double helix, and so on. The whole set cycles through each pattern and then begins again. How many patterns are there?