  A design is a collection of distinct points in a given set $X$, which is
assumed to be a compact subset of $R^d$, and the mesh-ratio of a design is the
ratio of its fill distance to its separation radius. The uniformity constant of
a sequence of nested designs is the smallest upper bound for the mesh-ratios of
the designs. We derive a lower bound on this uniformity constant and show that
a simple greedy construction achieves this lower bound. We then extend this
scheme to allow more flexibility in the design construction.
