Honeycomb structures are formed at reduced extrusion pressures and high extrusion rates via extrusion through open cavity honeycomb extrusion dies incorporating large, closely spaced feed channels delivering extrudable material to die honeycomb forming sections incorporating extrudate distribution means in the form of inverted conical or pyramidal flow dividers incorporating inclined flow-guiding surfaces that guide the extrudate into the base ends of plural discharge slot intersections and/or slot segments in direct line with the feed channels.