I suppose most of us tend to think of making art as being, at some level, a kind of expression of self. But from the point of view of someone directing a show it feels more like solving a series of problems; assuming, that is, one accepts the directing of a play as a form of art-making.
Extending this idea to art in general, though, I think is fruitful. At some level a poem, a string quartet, a painting, a statue, is the working out of a problem, or a whole series of them.
Great art provides solutions of great beauty. Shakespeare's Dream is a perfectly balanced equation: day against night; waking against sleep; rationality against imagination; order against chaos.