A honeycomb extrusion die, comprising: a die body (358, 702, 1124), comprising: an inlet surface (354, 754, 1154) and a discharge surface (324, 710, 1110) opposite the inlet surface; feedholes extending from the inlet surface (354, 754, 1154) into the die body (358, 702, 1124); an intersecting array of discharge slots, each discharge slot extending into the die body (358, 702, 1124) from the discharge surface (324, 710, 1110) to connect each discharge slot with the feedholes at intersections within the die body (358, 702, 1124), the intersecting array of discharge slots being formed by side surfaces of a plurality of pins bounded by the slots and extending into the die body (358, 702, 1124) from the discharge face, wherein at least some of the side surfaces of the pins forming the walls of the slots comprise a divot having a predetermined size and shape impressed upon a pin or slot surface of the honeycomb extrusion die and being spaced apart from the feedhole-slot intersection and spaced apart from the discharge surface (324, 710, 1110), and wherein the plurality of slots comprise: a first group of the slots comprising a width W1 between adjacent pins at the discharge surface (324, 710, 1110), and a second group of the slots comprising a second width W2, greater than W1, between adjacent pins at the discharge surface (324, 710 1110), characterized in that the second group of the slots comprises at least some of the divots and W2 is constant from the discharge surface (324, 710, 1110) to the divot. an inlet surface (354, 754, 1154) and a discharge surface (324, 710, 1110) opposite the inlet surface; feedholes extending from the inlet surface (354, 754, 1154) into the die body (358, 702, 1124); an intersecting array of discharge slots, each discharge slot extending into the die body (358, 702, 1124) from the discharge surface (324, 710, 1110) to connect each discharge slot with the feedholes at intersections within the die body (358, 702, 1124), the intersecting array of discharge slots being formed by side surfaces of a plurality of pins bounded by the slots and extending into the die body (358, 702, 1124) from the discharge face, wherein at least some of the side surfaces of the pins forming the walls of the slots comprise a divot having a predetermined size and shape impressed upon a pin or slot surface of the honeycomb extrusion die and being spaced apart from the feedhole-slot intersection and spaced apart from the discharge surface (324, 710, 1110), and wherein the plurality of slots comprise: a first group of the slots comprising a width W1 between adjacent pins at the discharge surface (324, 710, 1110), and a second group of the slots comprising a second width W2, greater than W1, between adjacent pins at the discharge surface (324, 710 1110), characterized in that the second group of the slots comprises at least some of the divots and W2 is constant from the discharge surface (324, 710, 1110) to the divot. a first group of the slots comprising a width W1 between adjacent pins at the discharge surface (324, 710, 1110), and a second group of the slots comprising a second width W2, greater than W1, between adjacent pins at the discharge surface (324, 710 1110), characterized in that the second group of the slots comprises at least some of the divots and W2 is constant from the discharge surface (324, 710, 1110) to the divot.