The Poncelet grid and the billiard in an ellipse

Abstract

We deduce a recent theorem by R. Schwartz on the structure of the so-called Poncelet grid from complete integrability of the billiard in an ellipse

References in corpus (1)

• Poncelet theorems

Cited by in corpus (4)

• Elliptic constructions of hyperkaehler metrics III: Gravitons and Poncelet polygons
• Hyperelliptic Jacobians as Billiard Algebra of Pencils of Quadrics: Beyond Poncelet Porisms
• Self-dual polygons and self-dual curves
• Poncelet pairs and the Twist Map associated to the Poncelet Billiard