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.

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.

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 try in my prints to testify that we live in a beautiful and orderly world, and not in a formless chaos, as it sometimes seems.

We adore chaos because we love to produce order.

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.

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.