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.

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.

The regular division of the plane into congruent figures evoking an association in the observer with a familiar natural object is one of these hobbies or problems...I have embarked on this geometric problem again and again over the years, trying to throw light on different aspects each time. I cannot imagine what my life would be like if this problem had never occurred to me; one might say that I am head over heels in love with it, and I still don't know why.

Drawing is deception.

Wonder is the salt of the earth.

In mathematical quarters, the regular division of the plane has been considered theoretically. ... [Mathematicians] have opened the gate leading to an extensive domain, but they have not entered this domain themselves. By their very nature they are more interested in the way in which the gate is opened than in the garden lying behind it.

We adore chaos because we love to produce order.