2 problems

Let a moving sofa be a connected planar shape that can be moved around a right-angled corner in a hallway of unit width. Let $\mu_\textrm{G}=2.21953166\ldots$ denote Gerver's const…

Let $\mu_\textrm{MS}$ be the moving sofa constant, the supremum of the areas of moving sofa shapes, and let $\mu_*(\beta)$ be the supremum of the maximal areas arising from rotatio…