Monumental' Math Proof Solves Triple Bubble Problem and More

The decades-old Sullivan’s conjecture, about the best way to minimize the surface area of a bubble cluster, was thought to be out of reach for three bubbles and up — until a new breakthrough result.

Monumental' Math Proof Solves Triple Bubble Problem and More, Quanta Magazine

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Sullivan's Shadow Bubbles, In 1995, John Sullivan proposed a beautiful guiding conjecture for finding optimal bubble clusters. Mathematicians have now proved the conjecture for, By Quanta Magazine