On the Existence of Fagnano Trajectories in Convex Polygonal Billiards

Deniz A., Ratiu A. V.

REGULAR & CHAOTIC DYNAMICS, cilt.14, sa.2, ss.312-322, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1134/s1560354709020075
  • Dergi Adı: REGULAR & CHAOTIC DYNAMICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.312-322
  • Anahtar Kelimeler: polygonal billiards, Poncelet polygons, Fagnano trajectories, TRIANGULAR BILLIARDS, TRIANGLES
  • Anadolu Üniversitesi Adresli: Evet

Özet

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.