Polishing machines, fixtures and methods for polishing one or more optical fibers upon distinct wear paths are provided. For example, in some embodiments a polishing fixture is provided with a number of ports for fixing optical fibers. The ports may be positioned within the fixture to follow a number of distinct wear paths when the fixture is moved relative to a platen retaining an abrasive film. In some embodiments, the ports may have an angular separation or be positioned at one or more radial distances in order to provide distinct wear paths on the abrasive film.