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Dual billiards, Fagnano orbits and regular polygons
Preprint
03 April 2007
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Abstract
We study the notion of Fagnano orbits for dual polygonal billiards. We used them to characterize regular polygons and we study the iteration of the developing map.
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Most cited references2
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A proof of Culter’s theorem on the existence of periodic orbits in polygonal outer billiards
Serge Tabachnikov, S Tabachnikov (2007)
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A Billiard Path Characterization of Regular Polygons
Duane DeTemple, Jack M. Robertson (1981)