Right Quadruple Convexity of Complements

Let F be a family of sets in Rd (always d≥2). A set M⊂Rd is called F-convex, if for any pair distinct points x,y∈M, there F∈F, such that x,y∈F and F⊂M. four {w,x,y,z}⊂Rd rectangular quadruple, conv{w,x,y,z} non-degenerate rectangle. If the all quadruples, then we obtain right quadruple convexity, abbreviated as rq-convexity. In this paper focus on rq-convexity complements, taken most cases balls or parallelepipeds.