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## 4:15 pm

### Minimal Gaussian Partitions, Clustering Hardness and Voting (Steven Heilman, USC)

A single soap bubble has a spherical shape since it minimizes its surface area subject to a fixed enclosed volume of air. When two soap bubbles collide, they form a "double-bubble" composed of three spherical caps. The double-bubble minimizes total surface area among all sets enclosing two fixed volumes. This was proven mathematically in a […]

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