"0011 Mobius transformations on the sphere" (2004)

"I was very bad in mathematics when I was a high-school student. I found that I was a visual person. I had to confirm everything by eye, not by abstract thinking. Once a mathematical theory got abstract, my eyes couldn’t visualize it. So I just gave up trying to understand perfectly. I could sense with my brain, 'Maybe this functions...,' but I just felt uncomfortable not having confirmed it with my visual understanding. So I became more like a visual artist, not an abstract thinker. Now, I again encounter that my way of understanding mathematics is purely visual."

- Hiroshi Sugimoto