The h-vector of a pure simplicial complex is of critical importance to combinatorialists and algebraists. When the complex is partitionable, a combinatorial interpretation for the h-vector is well known. In joint work with Bennet Goeckner and Alexander Lazar, we introduce a new construction which allows for an interpretation of the h-vector as an error term between a partitionable complex and a partitionable relative complex. This construction is inductive and is not minimal. We will briefly discuss minimality and some other issues that arise.