I will discuss how cocycles appear in a graphical network. Furthermore, the Shannon entropy of a finite probability distribution has a natural interpretation in terms of diagrammatics. I will explain the diagrammatics and their connections to infinitesimal dilogarithms and entropy. If there is time, I will discuss how algebraic K-theory is related to cobordism groups of foams in various dimensions. This is joint with Mikhail Khovanov.