awesome stuff in there, and lovely landscape
looking fwd to seeing that live

There is a lot going on there and as far as names go I can give you a few of the conceptual ones and the name of the base move:
Bas move polyrhythm trifoil butterfly hybrid AKA Mercedes. Check out my thread on the subject over in the techpoi tribe:
techpoi.tribe.net/thread/6c...38d71f6620

So basically it is one arm spinning a giant longarm circle, wile the other arm travels right along with it (arms are therefore same-direction same-time) but the other arm's poi is going antispin. The move is changing the timing of the antispin poi from fast to slow. I start with a big longarm circle doing something like 6 petal antispin and slow it down and close the circle in smaller until it gets to 3 petal antispin. Then an interesting shift happens: 3 petal antispin is the least petals you can have because it takes 2 beats per arm circle to make 3 petals. As I slow down to 1 beat per arm circle, It collapses into a Cateye (1-beat antispin) which you can read about over here:
techpoi.tribe.net/thread/7d...ef100ae18e

Also here is a link to a youtube playlist of my animations covering some of the cateye stuff:
youtube.com/watch

-Alien Jon