Article ID Journal Published Year Pages File Type
4659955 Topology and its Applications 2012 12 Pages PDF
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 ∂P, ∂Q. Our main results show when code equivalent polygons have the same angles, resp. are similar, resp. affinely similar.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology