Diagrams play a crucial role in visualizing complex concepts. Diagram chasing refers to the process of following arrows in diagrams to understand how they correspond to real-world objects. This process can also be described as diagram tracing, diagram following, or diagram mapping. Diagram manipulation involves reordering or tweaking portions of the diagram to obtain a desired result or to prove a proposition. This technique can also be called diagram shifting or diagram editing. The ability to understand and manipulate diagrams is a valuable skill for students studying mathematics, physics, or computer science. Different synonyms for diagram chasing can help to clarify and simplify complex concepts for students.