Abstract: A method and apparatus for making rolls of wave cut bags, and a roll of bags is disclosed. A film is weakened along a generally straight line in a generally cross machine direction. The film is also weakened a wave shape, and the wave shape weakenings are alternated with the straight line weakenings. The film is folded in a cross machine direction, and the straight line weakenings are separated to form bottoms of adjacent bags. The bottoms of adjacent bags are preferably overlapped, although they need not be. The wave shaped weakenings are preferably separated (although they need not be) to form wave shaped tops of a adjacent bags. If separated, the wave shaped tops have a longer portion and a shorter portion, and the longer portion is between, in the machine direction, the longer and shorter portion of the adjacent wave shaped top.