This question is part of this week's Journal Club session.
These systems look ridiculously fun to construct. Could someone explain the particulars? What are the various types of solutions, and what are their dynamics? How are they different from previously discovered solutions?
It's been a while since I first saw the article, which is described nicely in
Physicists Discover a Whopping 13 New Solutions to Three-Body Problem. Jon Cartwright, Science Now news, 8 March 2013.
The original paper is at