Homothetic packings of centrally symmetric convex bodies

A centrally symmetric convex body is a compact set with non-empty interior that about the origin. Of particular interest are those both smooth and strictly convex—known here as regular bodies—since they retain many of useful properties d-dimensional Euclidean ball. We prove for any given C, homothetic packing copies C randomly chosen radii will have (2, 2)-sparse planar contact graph. further there exists comeagre bodies where graph can be realised stress-free C.