In the context of the story, each idea plays its own role and takes on a corresponding render style.  The render style often reinforces the cultural background of the idea through display media such as mosaic tiles, ink line lithographs, chalkboards, CRT's, and blueprints. 

To insure cohesiveness among the individual scenes, many visual elements repeat to reinforce connections between ideas.  For instance,  a pair of triangulated characters appear when we learn of Plato's concept of a triangulated world.  These characters appear again when we encounter numerics, a contemporary study that considers the world to be triangulated.  This allows the viewer to visually draw that connection without overburdening the narration.