Sufficient Conditions for Poncelet Polygons Not to Close

DOI10.2307/30037471zbMath1215.52001OpenAlexW4254704011MaRDI QIDQ5295545

Boris Mirman

Publication date: 30 July 2007

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/30037471

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (11)

Poncelet's theorem, Sendov's conjecture, and Blaschke products ⋮ Poncelet's porism in the finite real plane ⋮ In search of a measure in Poncelet's porism ⋮ Poncelet-Darboux, Kippenhahn, and Szegő: interactions between projective geometry, matrices and orthogonal polynomials ⋮ Decomposable Blaschke products of degree 2ⁿ ⋮ Explicit solutions to Poncelet's porism ⋮ Inscribed ellipses and Blaschke products ⋮ Short cycles of Poncelet's conics ⋮ Decomposing finite Blaschke products ⋮ On foci of ellipses inscribed in cyclic polygons ⋮ A characterization of complex plane Poncelet curves

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