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.
M. C. EscherI never got a pass mark in math... Just imagine - mathematicians now use my prints to illustrate their books. Funny me consorting with all these learned folks, as though I were their long lost brother. I guess they are unaware of the fact that I am ignorant about the whole thing.
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. EscherI try in my prints to testify that we live in a beautiful and orderly world, not in a chaos without norms, even though that is how it sometimes appears. My subjects are also often playful: I cannot refrain from demonstrating the nonsensicalness of some of what we take to be irrefutable certainties. It is, for example, a pleasure to deliberately mix together objects of two and three dimensions, surface and spatial relationships, and to make fun of gravity.
M. C. EscherIn 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. Escher