Selected Bubble Images

Copyright by John M. Sullivan

Back to my other Mathematical Images.

The first image is an equilibrium cluster of six bubbles. I conjecture it is the smallest stable bubble cluster in which the surfaces are not pieces of spheres. (See "Open Problems in Soap-Bubble Geometry", [SM].)

The second image shows a standard cluster of three bubbles, where the surfaces are spherical. Any three desired volumes can be achieved by a Möbius transformation of this cluster.