How can I express "X" (items) without "languages" , only with "geometry" (graphical items) ?

In the book https://www.amazon.com/Course-Mathematical-Mathematicians-Graduate-Mathematics/dp/1441906142

> Nonlinear languages have existed for centuries. Geometers and composers could not perform without using the languages of drawings, resp. musical scores; when alchemy became chemistry, it also evolved its own two-dimensional language. For a logician, the basic problem about nonlinear languages is the difficulty of their formalization. This problem is addressed nowadays by relegating nonlinear languages of contemporary mathematics to the realm of more conventional mathematical objects, and then formally describing such languages as one would describe any other structure, that is, linearly.

> One must be keenly aware that some basic mathematical structures are "linguistic" at their core. Recognition or otherwise of this fact influences the problems that are chosen, the questions that are asked, and the answers that are appreciated. It would be difficult to dispute nowadays that category theory as a language is replacing set theory in its traditional role as the language of mathematics. Basic expressions of this language, commutative diagrams, are one-dimensional, but nonlinear: they are certain decorated graphs, whose topology is that of 1-dimensional triangulated spaces.