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## Code & order in polygonal billiards

### Abstract

Two polygons $P,Q$ are code equivalent if there are billiard orbits $u,v$ which hit the same sequence of sides and such that the projections of the orbits are dense in the boundaries $\partial P, \partial Q$. Our main results show when code equivalent polygons have the same angles, resp. are similar, resp. affinely similar

Topics: Mathematics - Dynamical Systems
Year: 2011
DOI identifier: 10.1016/j.topol.2011.09.007
OAI identifier: oai:arXiv.org:1102.4220