Lissajous knots and knots with Lissajous projections

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dc.creatorHoste, Jim
dc.creatorZirbel, Laura
dc.date2006-05-24
dc.date.accessioned2026-07-07T07:14:29Z
dc.date.available2026-07-07T07:14:29Z
dc.descriptionKnots in Euclidean space which may be parameterized by a single cosine function in each coordinate are called Lissajous knots. We show that twist knots are Lissajous knots if and only if their Arf invariants are zero. We further prove that all 2-bridge knots and all (3,q)-torus knots have Lissajous projections.
dc.description17 pages, 11 figures
dc.identifierhttps://arxiv.org/abs/math/0605632
dc.identifierhttp://arxiv.org/abs/math/0605632
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112894
dc.subjectGeometric Topology
dc.subject57M25
dc.titleLissajous knots and knots with Lissajous projections
dc.typetext

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