CMC 1 in H3

Equilateral Fournoids

Constant mean curvature surfaces in hyperbolic 3-space

Fournoids with dihedral symmetry [1,2].

Fournoid with necksize parameter μ=0.240.
Fournoid with necksize parameter μ=0.175.
Fournoid with necksize parameter μ=0.050.
Fournoid with necksize parameter μ=−0.050.
Fournoid with necksize parameter μ=−0.175.
Fournoid with necksize parameter μ=−0.240.

References

  1. A. Bobenko and T. Pavlyukevich, Bryant n-noids with smooth ends or symmetry, preprint (2005).
  2. 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].