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Closed paths of light trapped in a closed Fermat curve

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Abstract:

Geometric constructions have previously been shown that can be interpreted as rays of light trapped either in polygons or in conics, by successive reflections. The same question, trapping light in closed Fermat curves, is addressed here. Numerical methods are used to study the behaviour of the reflection points of a triangle when the degree of the curve varies, including a generalization to non integer powers.

Document Type: Research Article

DOI: http://dx.doi.org/10.1080/0020739021000018728

Publication date: November 1, 2002

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