One of the most memorable scenes in the movie Jerry Maguire climaxes with the main character telling his estranged wife, “You complete me.” Many people understand the line to mean "I'm not a whole person without you." As if a person is like a machine missing a critical part until the "right one' comes along.
But you could also hear it as a statement of realization that "I finally see how we fit together." Like pieces of a jigsaw puzzle. Or better yet, like two great works of art. The paintings or sculptures or rugs are beautiful on their own, yet together they create a new, compelling and intricate tapestry of vibrant colors.