  We make progress on a conjecture made by [DM], which states that the
$d$-dimensional frames of $m$-dimensional boxes resulting from a fragmentation
process satisfy Benford's law for all $1 \leq d \leq m$. 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 $d=1$.
