Affine Rigidity and Conics at Infinity
Affine Rigidity and Conics at Infinity
We prove that if a framework of a graph is neighborhood affine rigid in |$d$|-dimensions (or has the stronger property of having an equilibrium stress matrix of rank |$n-d-1$|) then it has an affine flex (an affine, but non Euclidean, transform of space that preserves all of the edge lengths) …