On the Existence of Fagnano Trajectories in Convex Polygonal Billiards

Deniz A., Ratiu A. V.

REGULAR & CHAOTIC DYNAMICS, vol.14, no.2, pp.312-322, 2009 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 14 Issue: 2
  • Publication Date: 2009
  • Doi Number: 10.1134/s1560354709020075
  • Journal Name: REGULAR & CHAOTIC DYNAMICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.312-322
  • Keywords: polygonal billiards, Poncelet polygons, Fagnano trajectories, TRIANGULAR BILLIARDS, TRIANGLES
  • Anadolu University Affiliated: Yes

Abstract

We prove that an n-gon F is pedal strong Fagnano trajectory in some convex polygonal billiard table A if and only if it is a convex Poncelet n-gon.