Equilateral Fournoids

Constant mean curvature surfaces in hyperbolic 3-space

Fournoids with dihedral symmetry [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. 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.