2 problems

Let $\mathcal{P}$ be a family of convex polygons in $\mathbb{R}^{2}$ that is closed under taking subpolygons, where a subpolygon is the convex hull of a subset of the polygon's ver…

Let $C$ be a compact convex figure in the plane, let $\alpha(C,k)$ denote the best worst-case aperture-angle approximation of $C$ by an inscribed convex $k$-gon, and let…