The strong geometric description conjecture for non-parallelizable tensegrities

Let $G$ be a graph and let $G(P)$ be a framework whose vertex configuration $P$ is in general position. A system of strong geometric conditions is a system of algebraic geometric conditions on $P$ of the type defined in the paper. Strong geometric description conjecture. For every graph $G$ there exists a system of strong geometric conditions such that a framework $G(P)$ in general position admits a non-parallelizable tensegrity if and only if $P$ satisfies this system of strong geometric conditions. This conjecture gives an algebraic description of the configurations supporting non-parallelizable tensegrities, extending the modified form of Conjecture 2 of DKS mentioned by the authors; its resolution is not established in the supplied text.