A cellular resolution is a way of representing the free resolution of a monomial ideal by associating it with a cell complex. In this talk we will discuss a cellular resolution of the Stanley-Reisner ring of the n-gon. This is an interesting example because this ring is Gorenstein (symmetric Betti table) and the cellular resolution is a self-dual polytope (symmetric f-vector). The talk will focus on the primary ideas used in the construction of the polytope.