CMC 1 in H3

Binoids

Constant mean curvature 1 surfaces in hyperbolic 3-space

Binoids, also known as catenoid cousins, constructed inĀ [1,2].

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. A. Bobenko, T. Pavlyukevich, and B. Springborn, Hyperbolic constant mean curvature one surfaces: spinor representation and trinoids in hypergeometric functions, Math. Z. 245 (2003), no. 1, 63—91 [2023953].
  2. A. Bobenko and T. Pavlyukevich, Bryant n-noids with smooth ends or symmetry, preprint (2005).