Yan-Lu Lian

Non-Separable Homothetic Triangles, Part I: Constructions and Lower Bounds

A finite family of planar convex bodies is called a non-separable family if no line disjoint from its union has at least one member in each open half-plane. In this paper, we prove that there exist finite non-separable families of positive homothetic triangles with covering factors strictly exceeding the sharp three-me...