On the minimal area of quadrangles circumscribed about planar convex bodies

Abstract

We show that every planar convex body is contained in a quadrangle whose area is less than $(1-2.6\cdot 10^{-7})\sqrt{2}$ times the area of the original convex body, improving the best known upper bound by W. Kuperberg.

11 pages, 3 figures

References in corpus (1)

• Upper bound on the packing density of regular tetrahedra and octahedra