Abstract
In this article, a generalized geometry of Goncharov's complex and the Grassmannian complex will be proposed. First, all new homomorphisms will be defined, and then they will be used extensively to connect the Bloch-Suslin and the Grassmannian complex for weight n = 2 and then Goncharov's complex with Grassmannian complex for weight n = 3, up to n = 6. Lastly, and most importantly, generalized morphisms will be presented to cover the geometry of the Goncharov and Grassmannian complex when weight n = N. Associated diagrams will be exhibited, proven to be commutative.