  We show that intersection graphs of compact convex sets in R^n of bounded
aspect ratio have asymptotic dimension at most 2n+1. More generally, we show
this is the case for intersection graphs of systems of subsets of any metric
space of Assouad-Nagata dimension n that satisfy the following condition: For
each r,s>0 and every point p, the number of pairwise-disjoint elements of
diameter at least s in the system that are at distance at most r from p is
bounded by a function of r/s.
