9 problems

Universal rigidity conjecture. If a tensegrity $(G,\mathbf p)$ in $\mathbb{R}^d$, with each member either a strut or a cable, is universally rigid, then it is the limit of super st…

Tay–Whiteley conjecture. The infinitesimal rigidity of rod configurations realizing 2-regular hypergraphs is determined by the rigidity of generic body-and-hinge frameworks realizi…

Existence conjecture. There exists a normed space with a second-order rigid framework that is locally and continuously flexible.

Solymosi–White rigidity conjecture. The leaper framework of $L$ on the square grid of side $2(p+q)-1$, and consequently on every larger square grid, is rigid.

Let $(G,p)$ be a completely regular cone-and-projection framework, where the underlying bi-coloured graph has blue and red edges. A bi-coloured graph is $(k,\ell)$-tight if it is…

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 c…

Locality conjecture. Every irreducible representation of $\mathsf{so}(2,3)$ is local on a framework $M$.

Universal rigidity conjecture. Every $d$-GGR graph has a $d$-GUR framework.

Alfakih's conjecture. A maximal-rank positive semidefinite equilibrium stress matrix must exist for $(p,\Gamma)$.