Jozef Bobok, Serge Troubetzkoy
Published 2011-02-21Version 1
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.
Journal: Topology and its Applications 159, 1 (2012) 236-247
Super-fast spreading of billiard orbits in rational polygons and geodesics on translation surfaces
On the complexity of polygonal billiards
Homotopical rigidity of polygonal billiards
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