The SDR web frontend now supports implemented bigon, hexagon, and octagon dancing. There's also a square resolver based on Dave Wilson's ocean wave method. Since the previous release, I've also reimplemented square breathing using the Cassowary constraint solver. Expanding the square to make space for inserted tandems, couples, etc is formulated as a linear programming problem, optimized so that the resulting formation is compact. Resolving overlaps is formulated as a mixed integer program, which allows for either-or constraints: if dancers overlap on both X and Y axes, either the X overlap must be resolved, or the Y overlap must be resolved, or the dancers have to form a star.
Although there's plenty of core engine work left to do, I've started to shift back to working on the game UI. Hooking the newly improved dance engine up with the Sphinx voice recognition engine, tuning the recognizer, and generally putting all the bits together is expected to be the focus of the next (0.7) release.