Regular three-dimensional bubble clusters: shape, packing and growth-rate
arXiv:cond-mat/0309107 · doi:10.1103/PhysRevE.69.031409
Abstract
We consider three-dimensional clusters of identical bubbles packed around a central bubble and calculate their energy and optimal shape. We obtain the surface area and bubble pressures to improve on existing growth laws for three-dimensional bubble clusters. We discuss the possible number of bubbles that can be packed around a central one: the ``kissing problem'', here adapted to deformable objects.