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arXiv · 1102.4220

Code & order in polygonal billiards

Jozef Bobok·Serge Troubetzkoy
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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.

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Jozef Bobok, Serge Troubetzkoy. 2011-02-21. Code & order in polygonal billiards. https://doi.org/10.1016/j.topol.2011.09.007

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