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arxiv: math/0412020 · v3 · submitted 2004-12-01 · 🧮 math.DG

When Soap Bubbles Collide

classification 🧮 math.DG
keywords bubblessoapboundedcollideconjecturescoveringdiameterfill
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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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