Minkowski–Bouligand dimension

Summary

The Minkowski–Bouligand dimension is also called the box-counting dimension. For a bounded set, it measures how fast the number of small boxes needed to cover the set grows as the boxes shrink. If about $\varepsilon^{-d}$ boxes of side $\varepsilon$ are needed, the dimension is $d$. It is easy to estimate numerically, and it is at least the Hausdorff dimension.