  The convex closure of entropy vectors for quasi-uniform random vectors is the
same as the closure of the entropy region. Thus, quasi-uniform random vectors
constitute an important class of random vectors for characterizing the entropy
region. Moreover, the one-to-one correspondence between quasi-uniform codes and
quasi-uniform random vectors makes quasi-uniform random vectors of central
importance for designing effective codes for communication systems. In this
paper, we present a novel approach that utilizes quasi-uniform random vectors
for characterizing the boundary of the almost entropic region. In particular,
we use the notion of quasi-uniform random vectors to establish looseness of
known inner bounds for the entropy vectors at the boundary of the almost
entropic region for three random variables. For communication models such as
network coding, our approach can be applied to design network codes from
quasi-uniform entropy vectors.
