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. 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. EscherAs far as I know, there is no proof whatever of the existence of an objective reality apart from our senses, and I do not see why we should accept the outside world as such solely by virtue of our senses.
M. C. Escher