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.

I don't grow up. In me is the small child of my early days.

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The ideas that are basic to [my work] often bear witness to my amazement and wonder at the laws of nature which operate in the world around us. He who wonders discovers that this is in itself a wonder. By 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.

It's pleasing to realize that quite a few people enjoy this sort of playfulness and that they are not afraid to look at the relative nature of rock-hard reality.

We do not know space. We do not see it, we do not hear it, we do not feel it. We are standing in the middle of it, we ourselves are part of it, but we know nothing about it.

It is human nature to want to exchange ideas, and I believe that, at bottom, every artist wants no more than to tell the world what he has to say. I have sometimes heard painters say that they paint 'for themselves': but I think they would soon have painted their fill if they lived on a desert island. The primary purpose of all art forms, whether it's music, literature, or the visual arts, is to say something to the outside world; in other words, to make a personal thought, a striking idea, an inner emotion perceptible to other people’s senses in such a way that there is no uncertainty about the maker's intentions.

..and to think now that great mathematicians find my work interesting because I am able to illustrate their theories. They can not imagine that I was such a bad pupil in mathematics. I don't understand it myself neither. I never could understand why it was necessary to prove something that everyone already sees. I saw it, I knew it, so it is how it is… But yes, you had to prove it. I did overcome it when I realized I can make something else - I thought I was a good-for-nothing. In my family there were no other artists to find.. .I was just a weird duck, right?

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My work is a game, a very serious game.

The result of the struggle between the thought and the ability to express it, between dream and reality, is seldom more than a compromise or an approximation. Thus there is little chance that we will succeed in getting through to a large audience, and on the whole we are quite satisfied if we are understood and appreciated by a small number of sensitive, receptive people.

I 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.

The fact that, from 1938 onwards, I concentrated more on the interpretation of personal ideas was primarily the result of my departure from Italy. In Switzerland, Belgium, and Holland where I successively established myself, I found the outward appearance of landscapes and architecture to be less striking than those which are particularly to be seen in the southern part of Italy. Thus I felt compelled to withdraw from the more or less direct and true-to-life illustrating of my surroundings.

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I don't use drugs, my dreams are frightening enough.

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.

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.

«It is impossible for the inhabitants of different worlds to walk or sit or stand on the same floor, because they have differing conceptions of what is horizontal and what is vertical. Yet they may well share the use of the same staircase. On the top staircase illustrated here, two people are moving side by side and in the same direction, and yet one of them is going downstairs and the other upstairs. Contact between them is out of the question because they live in different worlds and therefore can have no knowledge of each other's existence.»