To all appearances, the artist acts like a mediumistic being who, from the labyrinth beyond time and space, seeks his way out to a clearing.

Since I found that one could make a case shadow from a three-dimensional thing, any object whatsoever - just as the projecting of the sun on the earth makes two dimensions - I thought that by simple intellectual analogy, the fourth dimension could project an object of three dimensions, or, to put it another way, any three-dimensional object, which we see dispassionately, is a projection of something four-dimensional, something we are not familiar with.

You know exactly what I think of photography. I would like to see it make people despise painting until something else will make photography unbearable. (In a letter to Alfred Stieglitz)

I believe that the artist doesn't know what he does. I attach even more importance to the spectator than to the artist.

I don’t care about the word ‘art’ because it has been so discredited. So I want to get rid of it. There is an unnecessary adoration of ‘art’ today.

Destruction is also creation.

Since a three-dimensional object casts a two-dimensional shadow, we should be able to imagine the unknown four-dimensional object whose shadow we are. I for my part am fascinated by the search for a one-dimensional object that casts no shadow at all.