Abstract: Disclosed is an improved fixed cutting element for cooperation with a rotary cutting element in an apparatus for comminuting or granulating polymeric and like material. The improved fixed cutting element is a rigid polyhedron of quadrangular cross-section having a top, bottom, front, back and two side faces. Penetrating partially into the polyhedron from the intersection of the top and front faces thereof is a substantially rectangular slot, which extends along the length of the polyhedron from one side face to the other side face thereof. An angle of between about 20.degree. and 70.degree. is formed by the intersection of:(a) the top face of the polyhedron; and(b) a line perpendicular to the longitudinal cross-sectional axis of the slot and passing through the intersection of the top and front faces of the polyhedron. An insert of very hard material, e.g., of ceramic, conforming to the configuration of the slot, is positioned therein and is adhesively bonded to all surfaces thereof.