The geometry of billiards in ellipses and their Poncelet grids

DOI10.1007/s00022-021-00606-2zbMath1479.51022arXiv2105.03362OpenAlexW3206846243MaRDI QIDQ2051391

Hellmuth Stachel

Publication date: 24 November 2021

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.03362

zbMATH Keywords

causticconfocal conicsbilliard in ellipsebilliard motioncanonical parametrizationPoncelet grid

Mathematics Subject Classification ID

Questions of classical algebraic geometry (51N35) Euclidean analytic geometry (51N20) Planar arrangements of lines and pseudolines (aspects of discrete geometry) (52C30)

Related Items (2)

On the motion of billiards in ellipses ⋮ Poncelet plectra: harmonious curves in cosine space

Cites Work

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• The Universe of Conics
• Ivory’s theorem revisited
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• The Poncelet grid
• The Poncelet Grid and Billiards in Ellipses
• Die Fadenkonstruktionen der Flächen zweiter Ordnung
• On a Discretization of Confocal Quadrics. A Geometric Approach to General Parametrizations
• Algebra of operators on the ring of polytopes and quasi-symmetric functions

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