A chain module with an undulating edge has an upper conveying surface having an opening for receiving a projecting portion of an adjacent chain module. The upper conveying surface has a top edge, a leading edge and a trailing edge. The leading edge has first and second portions separated by the opening. The trailing edge has first and second portions separated by the projecting portion. A curved portion extends from the top edge of the conveying surface to the leading edge. The leading edge and trailing edge have alternating peaks and valleys such that the peaks on the trailing edge align with the valleys on the leading edge of an adjacent chain module. A pair of opposed first hinge eyes extends from the upper conveying surface on opposite sides of the opening, each hinge eye having a transverse pivot rod opening. A second hinge eye is disposed in the projecting portion and also has a transverse pivot rod opening. The transverse pivot rod opening in the second hinge eye aligns with the transverse pivot rod openings in the first hinge eyes of an adjacent chain module for pivotally connecting adjacent modules to form a conveying chain.