CMC Tori with Spectral Genus Four

Constant mean curvature tori in euclidean 3-space

Tori of higher spectral genus were first constructed experimentally in [1].

Figure-eight torus.
Figure-eight torus.
Twisty figure-eight torus.


  1. M. Heil, Numerical Tools for the study of nite gap solutions of integrable systems, Technische Universität Berlin, 1995.