A stapling assembly for use with a surgical stapler, comprising: a body having a plurality of staples disposed therein, the plurality of staples being configured to be deployed into tissue, and the body having a first end, a second end, and a longitudinal axis extending therebetween; and a three-dimensional compressible adjunct (800, 1100, 1200, 1300) formed from a matrix comprising at least one fused bioabsorbable polymer and configured to be releasably retained on the body such that the adjunct can be attached to tissue by the plurality of staples in the body, the adjunct having a plurality of struts (816, 1116, 1216) that are interconnected at joints (822, 1222) to form a lattice structure with a plurality of openings therein, and wherein the interconnectivity of the plurality of struts and the joints form a geometry that is configured to allow the adjunct to compress in a first predetermined direction and to limit movement in a second direction that differs from the first predetermined direction; wherein the plurality of struts form repeating X patterns in the form of repeating cubic units, wherein the repeating cubic units include a top surface, an opposing bottom surface, and four side surfaces extending between and connecting the top and bottom surfaces, and characterized in that each side has an X-shape formed by two elongated, generally planar struts that intersect at a mid-portion; wherein each repeating cubic unit includes an internal strut that extends between two opposite side surfaces of the cubic unit to form an inner connectivity feature; and wherein the inner connectivity feature extends from the top of one side surface to the bottom of an opposing side surface. a body having a plurality of staples disposed therein, the plurality of staples being configured to be deployed into tissue, and the body having a first end, a second end, and a longitudinal axis extending therebetween; and a three-dimensional compressible adjunct (800, 1100, 1200, 1300) formed from a matrix comprising at least one fused bioabsorbable polymer and configured to be releasably retained on the body such that the adjunct can be attached to tissue by the plurality of staples in the body, the adjunct having a plurality of struts (816, 1116, 1216) that are interconnected at joints (822, 1222) to form a lattice structure with a plurality of openings therein, and wherein the interconnectivity of the plurality of struts and the joints form a geometry that is configured to allow the adjunct to compress in a first predetermined direction and to limit movement in a second direction that differs from the first predetermined direction; wherein the plurality of struts form repeating X patterns in the form of repeating cubic units, wherein the repeating cubic units include a top surface, an opposing bottom surface, and four side surfaces extending between and connecting the top and bottom surfaces, and characterized in that each side has an X-shape formed by two elongated, generally planar struts that intersect at a mid-portion; wherein each repeating cubic unit includes an internal strut that extends between two opposite side surfaces of the cubic unit to form an inner connectivity feature; and wherein the inner connectivity feature extends from the top of one side surface to the bottom of an opposing side surface.