On the existence of Fagnano trajectories in convex polygonal billiards

DOI10.1134/S1560354709020075zbMath1229.37032MaRDI QIDQ653229

Ali Deniz, Andrei V. Ratiu

Publication date: 9 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

polygonal billiardsPoncelet polygonsFagnano trajectories

Mathematics Subject Classification ID

Euclidean analytic geometry (51N20)

Related Items (1)

Extremal convex polygons inscribed in a given convex polygon

Cites Work

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• Fagnano orbits of polygonal dual billiards
• Unsolved problems in geometry
• Periodic reflecting paths in right triangles
• Closed trajectories for quadratic differentials with an application to billiards
• On Periodic Billiard Trajectories in Obtuse Triangles
• Dual billiards, Fagnano orbits and regular polygons
• Obtuse Triangular Billiards I: Near the (2, 3, 6) Triangle
• Two Applications of Calculus to Triangular Billiards

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