The block monoid B(G), over an Abelian group G, is the set of all zero sum sequences of G. Factorization length is one of several factorization invariants that provides an algebraic framework through which the structure of block monoids is commonly studied. In this thesis, we introduce a way to study the structure of block monoids from a geometric perspective. We look at max factorization length and explore current results for B(Z4), B(Z5), and B(Z6), and present several conjectures for block monoids over larger Abelian groups.
