Nodoid
Nodoid is a singly periodic constant-mean-curvature surface, of constant mean curvature, given by a parametrisation, self-intersecting, with a continuous symmetry group.
Open Nodoid in the interactive viewer →
cmc def-parametric implemented self-intersecting singly-periodic tradition-classical
Properties
- Family
- cmc
- Given by
- a parametrisation
- Curvature
- constant mean curvature
- Periodicity
- singly periodic
- Ends
- 0
- Embedding
- self-intersecting
- Orientable
- yes
- Symmetry kind
- continuous symmetry group
- Fidelity
- exact
Definition
No chart is stored: the Delaunay meridian is the roulette of a hyperbola focus, the same non-elementary quadrature as the unduloid. The shipped implementation is authoritative; an unverified transcription would silently define a different surface.
Sources
Derived from the Math Art generator registries and cross-referenced to the literature; not transcribed from any gallery's compilation.
- C. Delaunay, J. Math. Pures Appl. 6 (1841) -- the roulette of a hyperbola.