Rigidity for sticky disks

Authors: Robert Connelly, Steven J. Gortler, and Louis Theran
Preprint: 1809.02006, 2018
Full text: arXiv

In this paper, we prove that any packing of disks with generic radii can have at most disk pairs in contact. If we do not allow any of the existing contacts to be broken (modeling a collection of sticky disks), then the packing is rigid iff it has exactly contacts. Thus we obtain a Laman-like characterization of rigidity for sticky disks under a generic radii assumption.