Using Rolling Circles to Generate Caustic Envelopes Resulting from Reflected Light

DOI10.4169/amer.math.monthly.122.5.452zbMath1335.53001arXiv1406.1736OpenAlexW2962730580WikidataQ58152922 ScholiaQ58152922MaRDI QIDQ3466034

Jeffrey Boyle

Publication date: 29 January 2016

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

Full work available at URL: https://arxiv.org/abs/1406.1736

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Curves in Euclidean and related spaces (53A04) Critical points of functions and mappings on manifolds (58K05) Geometry education (97G99)

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On Cusps of Caustics by Reflection: Billiard Variations on the Four Vertex Theorem and on Jacobi’s Last Geometric Statement ⋮ The Inverse Caustic Problem ⋮ Artifacts in the inversion of the broken ray transform in the plane

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