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  1. THE POWER OF LIMITS

There is a phenomenon that producers at Pixar call “the beautifully shaded penny.” It refers to the fact that artists who work on our films care so much about every detail that they will sometimes spend days or weeks crafting what Katherine Sarafian, a Pixar producer, calls “the equivalent of a penny on a nightstand that you’ll never see.” Katherine, who was the production manager on Monsters, Inc., remembers one scene that perfectly illustrates the beautifully shaded penny idea. It occurs when a bewildered Boo first arrives in Mike and Sulley’s apartment and begins, as toddlers do, to explore. As the monsters try to contain her, she wanders up to two towering piles of compact discs - more than ninety in all. “Don’t touch those!” Mike screams as she grabs a CD case from the bottom, sending the piles crashing to the floor. “Aw, those were alphabetized,” Mike complains as she waddles away. The moment is over in three seconds, and during it, only a few of the CD cases are at all visible. But for every one of those CDs, Pixar artists created not just a CD cover but a shader - a program that calculates how an object’s rendering changes as it moves.