Squaring numbers is a symmetrical process that I like very much. And when I divide one number by another, say, 13 divided by 97, I see a spiral rotating downwards in larger and larger loops that seem to warp and curve. The shapes coalesce into the right number. I never write anything down.

In the statement, Daniel Tammet describes his unique perspective on mathematical operations such as squaring numbers and division. He finds symmetry and beauty in squaring numbers and visualizes a spiral-like pattern when dividing one number by another. This mental imagery helps him arrive at the correct solution without writing anything down.

Tammet's quote delves into how mathematics can be perceived not just through equations and numerical operations but also through imaginative and creative processes. His ability to visualize mathematical problems in this way suggests an intuitive approach to solving complex calculations, highlighting a different method of understanding numbers beyond traditional rote learning or calculation methods. This perspective offers insight into the interplay between abstract thought and mathematics, hinting at how one can develop personal connections with numerical concepts through visualization and mental imagery.

Daniel Tammet is a British writer and prodigy known for his exceptional mathematical abilities and unique perception of numbers. He has written several books that explore various aspects of his experiences with autism and synesthesia, which contribute to his distinct way of understanding the world, including mathematics. His insights into how he mentally processes numerical operations offer readers an intriguing look at the diverse ways in which individuals can engage with and perceive mathematical concepts.