"I first made this one [open spiral in which eyes, mouth and forehead of a woman are recognizable) but I cannot stand it that something is cut off. I thought, why is that human cut off here? Then I made two of them, who have together an [interconnected] endlessness. It is also meant as a reaction against sculptors. I see them as a little inferior - no, that is not well-expressed – but sculptors are too limited. They see sculpturing as something superior, but everybody can do modeling. Drawing is much more difficult, much more immaterial."
Maurits Cornelis Escher was a Dutch graphic artist who made woodcuts, lithographs, and mezzotints, many of which were inspired by mathematics.
"To tell you the truth, I am rather perplexed about 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 — were all agreed about that. Indeed, but what is "kitsch"? If only I knew!"
"In mathematical quarters, the regular division of the plane has been considered theoretically.. .Does this mean that it is an exclusively mathematical question? In my opinion, it does not. [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."
"After the first proof [of Sphere Spirals] my high expectations were, as always, greatly disappointed. I am now struggling on - with some feeling of despair - so that I at least achieve a passable result."
"As 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. These reality enthusiasts are possibly playing at hide-and-seek; at any rate they like to hide themselves, though they are not usually aware of it. They simply do it because they happen to have been born with a sense of reality, that is, with a great interest in so-called reality, and because man likes to forget himself."
"As long as there have been men.. ..upon this globe.. ..we have held firmly to the notion of.. ..all of which must continue to be everlasting in time and infinite in space."
"But to get back to the point: did you ever imagine that your dad, who lives so far away from the bustle and intrigue of the world, working on his prints day after day like a hermit, would some day be drawn into the sickening scene of vain officialdom, despite himself?.. .But what on earth can I do about it? Luckily I can swear by God and all his angels that I never moved a finger to get the decoration or licked the boots of any bigwigs."