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When Soap Bubbles Collide

Colin Adams·Frank Morgan·John M Sullivan
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Abstract

Can you fill R^n with a froth of "soap bubbles" that meet at most n at a time? Not if they have bounded diameter, as follows from Lebesgue's Covering Theorem. We provide some related results and conjectures.

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Colin Adams, Frank Morgan, John M Sullivan. 2006-11-02. When Soap Bubbles Collide. https://arxiv.org/abs/math/0412020

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