3 papers
math.MG2025
A Constrained Optimization Approach for Constructing Rigid Bar Frameworks with Higher-order Rigidity
Xuenan Li, Christian D. Santangelo, Miranda Holmes-Cerfon
We present a systematic approach for constructing bar frameworks that are rigid but not first-order rigid, using constrained optimization. We show that prestress stable (but not fi…
cs.RO2025
A Constrained Saddle Search Approach for Constructing Singular and Flexible Bar Frameworks
Xuenan Li, Mihnea Leonte, Christian D. Santangelo +1
Singularity analysis is essential in robot kinematics, as singular configurations cause loss of control and kinematic indeterminacy. This paper models singularities in bar framewor…
cond-mat.soft2025
Hierarchical self-assembly for high-yield addressable complexity at fixed conditions
Miranda Holmes-Cerfon, Matthieu Wyart
There is evidence that the self-assembly of complex molecular systems often proceeds hierarchically, by first building subunits that later assemble in larger entities, in a process…