When Soap Bubbles Collide
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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.
9 pages, 5 figures, better proof of Prop 2.4. To appear in Amer. Math. Monthly
9 pages, 5 figures, better proof of Prop 2.4. To appear in Amer. Math. Monthly