An additively manufactured lattice includes a plurality of symmetrically oriented repeating unit cells. Each of the unit cells is comprised of a vertically oriented tubular structure having a top edge and bottom edge, said tubular structure defined by a circumferential side wall extending from said top edge to said bottom edge. The side wall has a lower portion, an intermediate portion, and an upper portion, with the lower portion terminating at the bottom edge, the upper portion terminating at the top edge, and the intermediate portion positioned between the lower portion and the upper portion. A plurality of spaced legs is included with each unit cell, with each leg formed as an outfolding of the side wall, each outfolding beginning at the side wall intermediate portion and extending progressively further outward through the side wall lower portion to the bottom edge.