Experimental CMC Fournoids

Constant mean curvature surfaces in euclidean 3-space

N-noids are CMC immersions of an n-punctured sphere with asymptotically Delaunay ends. While trinoids and n-noids with Platonic symmetries are known, the whole family of n-noids is yet to be classified. These images were produced by DPW methods using a potential computed experimentally.

An “X” fournoid with unduloidal ends.
Fournoid with bubble.
A nonsymmetric fournoid with unduloidal ends.
A non-symmetric fournoid with on nodoidal end.
A fournoid with two unduloidal and two nodoidal ends.