Andrei Ratiu

Istanbul, Turkey
Istanbul Bilgi University, Mathematics Department

Publications:

Deniz A., Ratiu A. V.
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
Citation: Deniz A., Ratiu A. V.,  On the Existence of Fagnano Trajectories in Convex Polygonal Billiards, Regular and Chaotic Dynamics, 2009, vol. 14, no. 2, pp. 312-322
DOI:10.1134/S1560354709020075

Back to the list