Binoids

Constant mean curvature 1 surfaces in hyperbolic 3-space

Binoids, also known as catenoid cousins, constructed in [1].

Binoid with parameter μ=0.40.
Binoid with parameter μ=0.25.
Binoid with parameter μ=0.10.
Binoid with parameter μ=–0.02.
Binoid with parameter μ=–0.10.
Binoid with parameter μ=–1.50.

References

  1. Alexander I. Bobenko, Tatyana V. Pavlyukevich and Boris A. Springborn, Hyperbolic constant mean curvature one surfaces: spinor representation and trinoids in hypergeometric functions, Math. Z. 245 (2003), no. 1, 63–91.
  2. A. I. Bobenko and T. V. Pavlyukevich, Bryant n-noids with smooth ends or symmetry, Preprint, 2005.