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.
Marcel DuchampThe life of a chess master is much more difficult than that of an artist - much more depressing. An artist knows that someday there'll be recognition and monetary reward, but for the chess master there is little public recognition and absolutely no hope of supporting himself by his endeavors. If Bobby Fischer came to me for advice, I certainly would not discourage him - as if anyone could - but I would try to make it positively clear that he will never have any money from chess, live a monk-like existence and know more rejection than any artist ever has, struggling to be known and accepted.
Marcel Duchamp