I've seen a video of Tetramorium running in circles on a sidewalk once if I remember right, but just the other day found one of my Acromyrmex versicolor colonies doing this in their out world. I thought it was interesting, but didn't get any video of it. Since I felt like they weren't getting anything done (when they really needed to because I'm trying to move them into a new nest) so I stirred the substrate up a bit, and they stopped.
Now just today I came home and found my colony of Pogonomyrmex rugosus doing the same thing. These run a lot faster, so it really caught my eye. They seemed to be running around the perimeter of where the light was shining on the ground in the out world. I tried turning on some other lights to get a better video, and I noticed they started to scatter and run around more chaotically. I quickly turned the other lights back off, and they quickly reformed their circle. Now in the video you can see what I'm talking about. As soon as I turn off the light they scatter in every direction, and as soon as I turn the light back on they immediately form right back into their circle.
I don't know what they think they are accomplishing, but I think this just further proves how stupid Myrmicinae seem to be. Has anyone ever seen Formicinae do this?