When Soap Bubbles Collide
arXiv:math/0412020
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.
9 pages, 5 figures, better proof of Prop 2.4. To appear in Amer. Math. Monthly