2 problems

Complementarity conditions conjecture. There always exist an $(I,t)$-linkage $\mathcal{P}$ and a vertex set $X\ni t$ such that $\mathcal{P}$ and $X$ satisfy the complementarity con…

Four-bar linkage pop-reachability conjecture. For almost every four-bar linkage, the neighborhood of any configuration that can be reached by smooth motion can also be reached by a…