This comment reminds me of high school physics, when we were learning about interference and those double slit experiments. The teacher would give different scenarios and ask us to predict what patterns would be observed. In one, the pattern was alternating bands of dark and light. I was the only kid who could figure it out, and the physics teacher was so visibly impressed, he to started calling me the thinker. That thing, visualizing something given to you in mathematical form, feels very good indeed.