%0 Journal Article %T A note on implicitly defined sets in uniform distribution theory %A Stefan Steinerberger %J Uniform Distribution Theory %D 2011 %I Mathematical Institute of the Slovak Academy of Sciences %X Motivated by some matching results in terms of extreme discrepancy, we describe a packing problem in $[0,1]^d$ with an interpretation in logistics, determine its asymptotic behavior, show its minimizers to be asymptotically uniformly distributed and raise several questions. %K Optimal matching %K Voronoi cells %U http://www.boku.ac.at/MATH/udt/vol06/no2/07Steinb.pdf