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Journal Articles Topology and its Applications Year : 2012

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.
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Dates and versions

hal-00567488 , version 1 (21-02-2011)

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Jozef Bobok, Serge Troubetzkoy. Code & order in polygonal billiards. Topology and its Applications, 2012, 159 (1), pp.236-247. ⟨10.1016/j.topol.2011.09.007⟩. ⟨hal-00567488⟩
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