3 problems

Tay–Whiteley molecular conjecture. If an incidence geometry can be realized as a rigid body and hinge framework in $\mathbb{R}^d$, then it can be realized as a rigid body and hinge…

Body-hinge conjecture. $G_H$ is rigid in $\mathbb{R}^3$ if and only if $G_H$ is globally rigid in $\mathbb{R}^3$.

Symmetric body-hinge transfer conjecture. Given suitable symmetry constraints, the results and conjectures concerning symmetric-generic body-bar frameworks should translate directl…