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Jul 22, 2010 at 18:29 vote accept Zach Conn
Jul 16, 2010 at 17:51 comment added Zach Conn Thanks! Actually I'm aware of the difficulty of the problem in 2 dimensions. One of my hopes with this approach was that it may be more effective in high dimensions. Perhaps a condition on the symmetry group could could be found which, for instance, only translates into the non-existence of periodic orbits for sufficiently high-dimensional polytopes having that group as their symmetry groups. Somehow this seems like a problem which may be easier in high dimensions and much, much harder in low dimensions.
Jul 16, 2010 at 5:38 history answered Matheus CC BY-SA 2.5