One of the elements that separates live-action, photoreal cinema from animation is the line, a conceptual meta-object that has no existence other than as an idea or a graphic representation. Lines are not essential to photoreal cinema. Using five animated television advertisements for Hilton Hotels made by German animator Raimund Krumme, the essay raises some of the paradoxes inherent in the single, two-dimensional, animated graphic line as both an abstract geometric construct and an eccentric visualization of energy and entropy. What Krumme's animations emphasize (even if in the service of an advertising campaign) is that, never a `thing', the line in motion intends and marks its own differánce and is always more lived and contingent than its geometry would suggest.