FOURIER APPROXIMATION OF SYMMETRIC IDEAL KNOTS

DOI10.1142/S0218216511010115zbMath1273.49048OpenAlexW1993395475MaRDI QIDQ3225665

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Publication date: 22 March 2012

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218216511010115

zbMATH Keywords

ideal knotsFourier coefficient patternFourier knotssymmetry of curves

Mathematics Subject Classification ID

Group actions and symmetry properties (58D19) Optimization of shapes other than minimal surfaces (49Q10) Fourier series and coefficients in several variables (42B05) Curves in Euclidean and related spaces (53A04)

Cites Work

• What are the longest ropes on the unit sphere?
• Curvature and torsion of the tight closed trefoil knot
• Global curvature and self-contact of nonlinearly elastic curves and rods
• On the minimum ropelength of knots and links
• Global curvature, thickness, and the ideal shapes of knots
• EXISTENCE OF IDEAL KNOTS
• Knot Tightening by Constrained Gradient Descent

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