On the incenters of triangular orbits on elliptic billiards

DOI10.4171/LEM/60-3/4-2zbMath1371.37073arXiv1304.7588MaRDI QIDQ2349107

Olga Paris-Romaskevich

Publication date: 17 June 2015

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7588

zbMATH Keywords

periodic orbitPoncelet theoremelliptic billiard

Mathematics Subject Classification ID

Related Items (14)

Complex caustics of the elliptic billiard ⋮ More about areas and centers of Poncelet polygons ⋮ Centers of mass of Poncelet polygons, 200 years after ⋮ Loci of 3-periodics in an Elliptic Billiard: why so many ellipses? ⋮ Poncelet triangles: a theory for locus ellipticity ⋮ Invariant center power and elliptic loci of Poncelet triangles ⋮ Elliptic Billiards and Ellipses Associated to the 3-Periodic Orbits ⋮ Can the elliptic billiard still surprise us? ⋮ On the circumcenters of triangular orbits in elliptic billiard ⋮ The Ballet of Triangle Centers on the Elliptic Billiard ⋮ Intriguing invariants of centers of ellipse-inscribed triangles ⋮ The talented Mr. inversive triangle in the elliptic billiard ⋮ New Properties of Triangular Orbits in Elliptic Billiards ⋮ Loci of Poncelet triangles in the general closure case

Cites Work

• Ellipsoidal billiards in pseudo-Euclidean spaces and relativistic quadrics
• No planar billiard possesses an open set of quadrilateral trajectories
• Pseudo-Riemannian geodesics and billiards
• On Cayley's explicit solution to Poncelet's porism
• On quadrilateral orbits in complex algebraic planar billiards
• The Poncelet grid
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