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“The new painters do not propose, any more than did their predecessors, to be geometers. But it may be said that geometry is to the plastic arts what grammar is to the art of the writer. Today, scholars no longer limit themselves to the three dimensions of Euclid. The painters have been lead quite naturally, one might say by intuition, to preoccupy themselves with the new possibilities of spatial measurement which, in the language of the modern studios, are designated by the term fourth dimension.”

“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.”

“Do you think it's possible that things that seem to be discrete in three dimensions might all be part of the same bigger object in four dimensions? ...What if humanity- that collective noun we so often employ- really is, at a higher level, a singular noun? What it what we perceive in three dimensions as seven billion individual human beings are really all just aspects of one giant being?”

“Thank God for that. You can shut them, say, 'Hold on a moment.' You play God to it. But who has ever torn himself from the claw that encloses you when you drop a seed in a TV parlour? It grows you any shape it wishes! It is an environment as real as the world. It becomes and is the truth. Books can be beaten down with reason. But with all my knowledge and scepticism, I have never been able to argue with a one-hundred-piece symphony orchestra, full colour, three dimensions, and I being in and part of those incredible parlours.”

“I feel as though I am trying to describe a three-dimensional experience while living in a two-dimension world. The appropriate words, descriptions, and concepts don't even exist in our current language. I have subsequently read the accounts of other people's near-death experiences and their portrayals of heaven and I am able to see the same limitations in their descriptions and vocabulary that I see in my own.”

“The primary function of art is not to imitate or represent or interpret, but to create a living thing; it is the reduction of all life to a perfectly composed and dynamic miniature - a microcosm where there is perfect balance of emotion and intellect, stress and strain resolving itself, form rhythmically poised in three dimensions.”

“I rather think the cinema will die. Look at the energy being exerted to revive it - yesterday it was color, today three dimensions. I don't give it forty years more. Witness the decline of conversation. Only the Irish have remained incomparable conversationalists, maybe because technical progress has passed them by.”

“Photography is much more about elimination than inclusion. The images we make with a lens typically eliminate ninety percent of our field of view and everything that is out of our field of view. The shutter slices time, eliminating all moments before and after it opens and closes. Three dimensions are reduced to two. And in some cases color is removed. How can we call these kinds of artifacts unaltered?”

“Chess, which exists predominantly in two dimensions, is one of the world's most difficult games. Three-dimensional chess is an invitation to insanity. But human relationships, even of the simplest order, are like a kind of four-dimensional chess, a game whose pieces and positions change subtly and inexorably between moves, whose players stare dumbly while their powerful positions deteriorate into hopeless predicaments and while improbable combinations suddenly become inevitable. To make matters worse, some games are open to any number of players, and all sides are expected to win.”

“One thing is sure - we have to transform the three-dimensional world of objects into the two-dimensional world of the canvas.. ..To transform three into two dimensions is for me an experience full of magic in which I glimpse for a moment that fourth dimension which my whole being is seeking.”

“Music, as long as it exists, will always take its departure from the major triad and return to it. The musician cannot escape it any more than the painter his primary colors or the architect his three dimensions.”

“Choosing a director is like choosing a therapist - you want somebody who is going to be a step or two ahead of you, who can interpret and articulate your intentions better than you can, with the benefit of objectivity. I look for a collaborator who is going to help bring to life, on stage, in three dimensions, what is on the page. I wouldn't want a director who imposes conceits or distrusts the text or who has prejudged the characters.”

“Sculpture is a parable in three dimensions, a symbol of a spiritual experience, and a means of conveying truth by concentrating its essence into visible form. ... It must be the reflection of the artist who creates it and of the era in which he lives, not an echo or a memory of other days and other ways.”

“Once we actually have the production script after many rewrites, at that point is when I start to decide what the look and colors will be. I work like a painter, even though I'm working in three dimensions. I'm working with chairs. I'm working with walls. But even things like the floor or the walls that people might think are not important, they actually do influence the visual look of the film. These are also things that I have to think about.”