To any matroid $M$, one can associate a matroid polytope $P_M$. It is well-known that these matroid polytopes arise from generalized permutohedra. In 2020, Lam and Postnikov observed that a matroid $M$ is a positroid iff the matroid polytope $P_M$ is an alcoved polytope. This motivated the definition of a polypositroid, a polytope which is both a generalized permutohedra and an alcoved polytope. In this talk, we'll define and explore polypositroids with an eye towards understanding the cone of polypositroids in relation to the cone of generalized permutohedra and the cone of alcoved polytopes.