This is an incredibly interesting comment! I think you've hit the nail on the head that this is better suited for pedagogy than for exploration. The extracts fr

This is an incredibly interesting comment! I think you've hit the nail on the head that this is better suited for pedagogy than for exploration. The extracts from the book are especially insightful and really something I had not considered before so thank you for that--I may just have to read the whole book (and it's by the same Hadamard of the Hadamard gate! It seems that anyone even slightly related to quantum computing has an interest in exploring and enhancing creative thought--that's 3 just in this thread). I hope I didn't come across as suggesting that a visual medium couldn't be used to do serious mathematical exploration--I definitely think it can (and Strilanc's comment proves that it can). To clarify, I was more suggesting that it could be the case that not every mathematical concept is conducive to being explained or taught effectively using a visual medium, or even more loosely that in some cases a symbolic approach could be more effective than a visual one. However, I agree that for most concepts visual trumps symbolic and I currently have no concrete examples of the opposite.