  We continue our previous modifications of the Baez-Dolan theory of opetopes
to modify the Baez-Dolan definition of universality, and thereby the category
of opetopic n-categories and lax functors. For the case n=2 we exhibit an
equivalence between this category and the category of bicategories and lax
functors. We examine notions of strictness in the opetopic theory.
