Cluster Algebra is a commutative ring with a special finite set of elements (clusters) that can produce all its generators in an algorithmic way. Cluster complex is an abstract simplicial complex encoding how different clusters are related to each other. Finding polyhedral realizations of these complexes has been a problem of long-standing interest. In a previous talk, Mia sketched an example from Speyer-Williams illustrating that the fan associated to Trop^+(Gr(2,n) is isomorphic to the normal fan of an associahedron. More generally, Speyer-Williams conjectured that if A is a cluster algebra of finite type, then the fan of Trop^+(SpecA) modulo its lineality space should be isomorphic to the fan which is the cone over the cluster complex. In the acyclic case, Jahn-Löwe-Stump proved that Trop^+(SpecA)/L is linearly isomorphic to the g-vector fan, which is combinatorially isomorphic to the cluster complex. To unwrap their statement, I will give an introductory talk on Cluster Algebra, Generalized Associahedron (polyhedral realization of cluster complex), and g-vector fans.