Bubbletons

Constant mean curvature cylinders in euclidean 3-space
3d

Delaunay bubbletons are constructed by dressing a Delaunay surface with a product of simple factor dressings [3].

A two-lobed bubble on a straight cylinder.
Two-lobed bubbles on a Delaunay unduloid and nodoid.
Double bubbleton: two-lobed and three-lobed bubbles on a Delaunay unduloid.
Two-lobed bubbles on a Delaunay unduloid and nodoid.
Two-lobed bubbleton on a Delaunay twizzler.
A two-lobed bubble colides with a 3-lobed bubble.

References

  1. M. Melko and I. Sterling, Application of soliton theory to the construction of pseudospherical surfaces in R3, Ann. Global Anal. Geom. 11 (1993), no. 1, 65–107.
  2. M. Melko and I. Sterling, Integrable systems, harmonic maps and the classical theory of surfaces, Harmonic maps and integrable systems, Aspects Math., E23, Vieweg, Braunschweig, 1994, 129–144.
  3. I. Sterling and H. C. Wente, Existence and classification of constant mean curvature multibubbletons of finite and infinite type, Indiana Univ. Math. J. 42 (1993), no. 4, 1239–1266.