A GraphicLanguage can use the ArrangementOfGlyphs to communicate non-linearly.
I need to put some examples on this page.
In mathematics, there are things like the sigma. You notate below, above, to the left, and to the right of the sigma, and the position encodes a lot of information.
Let's suppose the Sigma wasn't arranged like that-! Let's suppose everything was presented to the left and to the right, in sequence.
You would have a harder time reading it. You'd have to reorganize it all in your mind.
I need to move my diagram and explanation over here, but briefly-
Here's an expression of MatrixMultiplication, that has many advantages over the traditional linear description of matrix multiplication:
(As a side benefit, by transposing the entire aggregate diagram, you get a nice demonstration that Bt*At=(AB)t, normally a massive and unenlightening proof that leaves you wondering, "Why?")
In ElephantsMemory, they use an ArrangementOfGlyphs to advantage as well.
We need more images here, dammit!