Convex curves whose points are vertices of billiard triangles

DOI10.2996/kmj/1138038814zbMath0646.52002OpenAlexW2081339264MaRDI QIDQ1103872

Nobuhiro Innami

Publication date: 1988

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138038814

zbMATH Keywords

geometrical opticsconvex curvesbilliard n-gonsvertices of billiard trianglesvertices of orbits of period three

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Curves in Euclidean and related spaces (53A04)

Related Items (8)

Limit sets of convex non-elastic billiards ⋮ On the length and area spectrum of analytic convex domains ⋮ Differentiability of invariant circles for strongly integrable convex billiards ⋮ Billiard dynamics: An updated survey with the emphasis on open problems ⋮ Billiards and nonholonomic distributions ⋮ Capillary floating and the billiard ball problem ⋮ Devil's staircase – rotation number of outer billiard with polygonal invariant curves ⋮ Inverse problems and rigidity questions in billiard dynamics

Cites Work

• Unnamed Item
• \(C^\infty\)-approximation of continuous ovals of constant width

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