I have to smile wryly when I hear people try to distinguish art from science. The universe is both, folks. You may try to tear them apart, but you cannot, for the artistry of the universe is forever intertwined with how it works. They drive each other; the science is why the art is beautiful, and the art is one of the reasons we pursue the science.
Good mathematics is not about how many answers you know. Good mathematics is about what you do when you don’t know.