Code & order in polygonal billiards

Details Code & order in polygonal billiards Code & order in polygonal billiards

2011-02-21

arxiv.org/abs/1102.4220v1

Mathematics

Dynamical Systems

Scientific paper

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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