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.
M. C. EscherI am always wandering around in enigmas. There are young people who constantly come to tell me: you, too, are making Op Art. I haven't the slightest idea what that is, Op Art. I've been doing this work for thirty years now.
M. C. EscherThere is something in such laws that takes the breath away. They are not discoveries or inventions of the human mind, but exist independently of us. In a moment of clarity, one can at most discover that they are there and take them into account. Long before there were people on the earth, crystals were already growing in the earth's crust. On one day or another, a human being first came across such a sparkling morsel of regularity lying on the ground or hit one with his stone tool and it broke off and fell at his feet, and he picked it up and regarded it in his open hand, and he was amazed.
M. C. EscherI 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.
M. C. EscherTo tell you the truth, I am rather perplexed by the concept of 'art'. What one person considers to be 'art' is often not 'art' to another. 'Beautiful' and 'ugly' are old-fashioned concepts that are seldom applied these days; perhaps justifiably, who knows? Something repulsive, which gives you a moral hangover, and hurts your ears or eyes, may well be art. Only 'kitsch' is not art - we're all agreed about that. Indeed, but what is 'kitsch'? If only I knew!
M. C. EscherBy 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.
M. C. Escher