We make progress on a conjecture made by [9], which states that the d-dimensional frames of m-dimensional boxes resulting from a fragmentation process satisfy Benford’s law for all \(1 \le d \le m\) . We provide a sufficient condition for Benford’s law to be satisfied, namely that the maximum product of d sides is itself a Benford random variable. Motivated to produce an example of such a fragmentation process, we show that processes constructed from log-uniform proportion cuts satisfy the maximum criterion for \(d=1\) .
