If I am not mistaken, the word "art" and "artist" did not exist during the Renaissance and before: there were simply architects, sculptors, and painters, practicing a trade.

I came to the ... open gate of mathematics. From here, well-trodden paths lead in every direction, and since then I have often spent time there. Sometimes I think ... I have trodden all the paths ... and then I suddenly discover a new path and experience fresh delights.

At moments of great enthusiasm it seems to me that no one in the world has ever made something this beautiful and important.

By keenly confronting the enigmas that surround us, and by considering and analyzing the observations that I had made, I ended up in the domain of mathematics. Although I am absolutely without training in the exact sciences, I often seem to have more in common with mathematicians than with my fellow artists.

Science and art sometimes can touch one another, like two pieces of the jigsaw puzzle which is our human life, and that contact may be made across the boderline between the two respective domains.

The things I want to express are so beautiful and pure.

Are you really sure that a floor can't also be a ceiling?