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.

All decisions in the artistic execution of the work rest with pure intuition and cannot be translated into a self-analysis.

I feel shame, not for the wrong things I have done, but for the right things that I have failed to do.

I am still a victim of chess. It has all the beauty of art - and much more. It cannot be commercialized. Chess is much purer than art in its social position.

Chess players are madmen of a certain quality, the way the artist is supposed to be, and isn't, in general.

In the last analysis, the artist may shout from all the rooftops that he is a genius; he will have to wait for the verdict of posterity.

Three or four drops of height have nothing to do with savageness.