A conveyor is described comprising an endless side-flexing conveyor belt made from a number of rows of hinged interconnected belt links, where each row comprises at least one link, where each link has a front end, a back end, a top surface, a bottom surface and two sides, where hinge parts separated by apertures are arranged along the front end and the back end such that front hinge parts on the front end will fit inside apertures on the back end of an adjacent belt link, and where the front end and back end are substantially parallel to a first axis parallel to the width direction of the link, wherein the hinge parts of each link are defined by a top and bottom that are substantially flush with the top and bottom surfaces respectively, and two side surfaces and a free front surface, and that at least some of the front hinge parts are provided with a protrusion on one or both side surfaces, where these protrusions fit inside elongated apertures provided in the side surfaces of the rear hinge parts on the opposite end of the links; and further that the portions of the protrusions and/or of the elongated apertures that engage each other during use of the belt are arranged such that the they are parallel to different axes depending upon whether they are closer to the middle or one of the two ends so that there will be multiple points of contact between adjacent links even when the belt is side-flexing around a curve.