“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.”

“If a shadow is a two-dimensional projection of the three-dimensional world, then the three-dimensional world as we know it is the projection of the four-dimensional Universe. ”

“My idea was to chose an object that wouldn't attract me, either by its beauty or by its ugliness. To find a point of indifference in my looking at it, you see”

“I was in love. With a two-dimensional object. A mute in love with a painting. Lovely. Just lovely.”

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

“Since the tubes of paint used by the artist are manufactured and ready made products we must conclude that all the paintings in the world are 'readymades aided' and also works of assemblage.”

“As soon as we start putting our thoughts into words and sentences everything gets distorted, language is just no damn good—I use it because I have to, but I don’t put any trust in it. We never understand each other.”