# Timeline for Which polygons have *simple* periodic billiard paths?

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Feb 8 '15 at 13:20 history edited
Feb 8 '15 at 4:25 comment The conditions are sufficient for a cyclically ordered list of angles to be realized by some polygons having a polygonal path touching each side. A regular pentagon has such a path but an equiangular pentagon with sides of lengths $1,\epsilon,1.6,\epsilon,1$ seems unlikely to. For a triangle the angles do determine the sides (up to similarity) so acute triangle have paths and obtuse ones do not.