A nodoid is a Delaunay surface generated by revolving the roulette of a focus of
a hyperbola, rolling without slipping along a line,
about that line. It has constant nonzero mean curvature. Its complete continuation is an immersion with self-intersections,
in contrast to the embedded surface given by
an unduloid (Bendito et al. 2014).
See also
Constant Mean Curvature Surface,
Delaunay Surface,
Surface
of Revolution,
Unduloid
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References
Bendito, E.; Bowick, M. J.; and Medina, A. "Delaunay Surfaces." J. Geom. Symmetry Phys. 33, 27-45, 2014. https://doi.org/10.7546/jgsp-33-2014-27-45.Delaunay,
C. "Sur la surface de révolution dont la courbure moyenne est constante."
J. math. pures appl. 6, 309-315, 1841. https://www.numdam.org/item/JMPA_1841_1_6__309_0/.
Cite this as:
Weisstein, Eric W. "Nodoid." From MathWorld--A
Wolfram Resource. https://mathworld.wolfram.com/Nodoid.html
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