Last updated on April 21, 2014 at 9:29 EDT
This computer illustration created by John M Sullivan
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This computer illustration created by John M. Sullivan

June 2, 2010
This computer illustration created by John M. Sullivan, shows bubble clusters in front of a Gothic window. Soap bubbles provide a multidimensional window for scientists and mathematicians working to solve the world's optimization questions.

This illustration was created as part of an optimal geometry research grant awarded by NSF's Division of Mathematical Sciences, to Frank Morgan, a leading researcher in optimal geometry from Williams College. Optimal geometry is concerned with geometric figures and their properties, and specifically: what shape or configuration of shapes best meets a situation's given constraints.

To learn more about optimal geometry involving soap bubbles, see NSF Discovery story "Double Soap Bubbles: Proof Positive of Optimal Geometry." Or, to see related optimal geometry images, Click Here. (Year of image: 1995)