A mask or face plate, having an orifice or opening formed therethrough of desired size and configuration, is positioned against the discharge face of an extrusion die. The mask restricts the flow of extrudable material through the die so that such material will conform to the size and configuration of the opening or orifice provided in such mask or face plate. The mask or face plate is preferably part of a ring assembly which may be removably attached to the extrusion die structure. When such die is provided with a plurality of core pins for forming cellular or honeycomb structures, the orifice formed in the face plate is preferably provided with a tapered inlet opening in communication with the discharge face of such die, so as to partially collapse the peripheral cells engaging the tapered surface as they are moved radially inwardly by such surface, and thereby form an integral skin or sheath about the remainder of the honeycomb structure as it is being extruded.
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