Most research in cognitive science explores how we see things but little research is done on how we understand what we see.
Understanding is the ultimate test of how good your visualization is. So how can you make people understand? Show something familiar and analogize. If you know nothing else about visualization but pick the right analogy you are more than half way there. This is what a professional designer does - and there is no substitute for analogies.
How do you choose the right analogy? In this grid I organized analogies from the abstract down to the more detailed. I grouped them by similarity in shape. The goal is to enable you to quickly see the possibilities and “try them on” your information. With time you’ll be able to do all of this in your head. But for now this is a shortcut.