3 problems

Let $P$ be any point set in the plane, and let $\mathrm{WC}_P$ denote its wiggly complex. Wiggly complex polytopality conjecture. For any point set $P$ in the plane, the wiggly com…

A pointed pseudotriangulation is a pseudotriangulation whose vertices are pointed, and a flexible flat cylinder is a flat cylindrical surface whose metric parameters may vary. Flex…

Let $C$ be a cyclic group whose action on a planar graph $G$ is induced by a rotation of order $2$, and let $\theta$ be the corresponding action. Write $\overline{G}$ for the quoti…