Building off of last week's talk, we will discuss the tropical totally positive Grassmannian, Trop+(Gr(k,n)). First introduced by Speyer and Williams in 2003, the tropical totally positive Grassmannian came out of work studying the totally positive part of the tropicalization of an affine variety. After briefly looking at those results, we'll focus our attention on the fan structure of the tropical totally positive Grassmannian. If there's time, we'll show that the fan associated to Trop+(Gr(2,n)) is combinatorially the fan dual to the type A_{n-3} associahedra.