When Soap Bubbles Collide
Differential Geometry
2007-05-23 v3
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.
Cite
@article{arxiv.math/0412020,
title = {When Soap Bubbles Collide},
author = {Colin Adams and Frank Morgan and John M Sullivan},
journal= {arXiv preprint arXiv:math/0412020},
year = {2007}
}
Comments
9 pages, 5 figures, better proof of Prop 2.4. To appear in Amer. Math. Monthly