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Regular and Chaotic Dynamics, 2009, Volume 14, Issue 2, Pages 312–322
DOI: https://doi.org/10.1134/S1560354709020075 (Mi rcd552) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Existence of Fagnano Trajectories in Convex Polygonal Billiards

A. Deniza, A. V. Ratiub

a Anadolu University, Mathematics Department, Eskisehir, Turkey
b Istanbul Bilgi University, Mathematics Department, Istanbul, Turkey
Citations (1)
DOI: https://doi.org/10.1134/S1560354709020075
Abstract: We prove that an $n$-gon $\mathcal F$ is pedal strong Fagnano trajectory in some convex polygonal billiard table $\mathcal A$ if and only if it is a convex Poncelet $n$-gon.
Keywords: polygonal billiards, Poncelet polygons, Fagnano trajectories.
Received: 12.01.2009
Accepted: 10.03.2009
Bibliographic databases:
Document Type: Article
MSC: 37D50, 51N20
Language: English
Citation: A. Deniz, A. V. Ratiu, “On the Existence of Fagnano Trajectories in Convex Polygonal Billiards”, Regul. Chaotic Dyn., 14:2 (2009), 312–322
Citation in format AMSBIB
\Bibitem{DenRat09}
\by A. Deniz, A. V. Ratiu
\paper On the Existence of Fagnano Trajectories in Convex Polygonal Billiards
\jour Regul. Chaotic Dyn.
\yr 2009
\vol 14
\issue 2
\pages 312--322
\mathnet{http://mi.mathnet.ru/rcd552}
\crossref{https://doi.org/10.1134/S1560354709020075}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2505430}
\zmath{https://zbmath.org/?q=an:1229.37032}
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    • This publication is cited in the following 1 articles:
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