Title: Cubical Covers of Sets in $\mathbb{R}^n$,
Abstract: Wild sets in $\mathbb{R}^n$ can be tamed through the use of various
representations though sometimes this taming removes features considered
important. Finding the wildest sets for which it is still true that the
representations faithfully inform us about the original set is the focus of
this rather playful, expository paper that we hope will stimulate interest in
cubical coverings as well as the other two ideas we explore briefly: Jones'
$\beta$ numbers and varifolds from geometric measure theory.