An improved cellular building block including a middle beam and two legs. The cellular building block having the first leg coupled to the middle beam such that the leg is perpendicular to the middle beam and a second leg coupled to the middle beam such that the leg is perpendicular to the middle beam and spaced apart from the first leg, the first leg and the second leg having an inside edge and an outside edge. Having at least one barb located on the inside edge of the first leg and on the inside edge of the second leg and further configured to lock into a recess. The cellular building blocks connect in a two dimensional or three dimensional pattern and a produce a structured material that holds itself together and exhibits beneficial characteristics.