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(57) ABSTRACT A curved, three-dimensional, ordered micro-truss structure comprising: a plurality of first struts extending along a first direction; a plurality of second struts extending along a second direction; and a plurality of third struts extending along a third direction, wherein the first, second, and third Struts interpenetrate one another at a plurality of nodes, wherein the pluralities of first struts, second struts, third struts, and nodes form a plurality of ordered unit cells within the micro-truss structure, and wherein the plurality of ordered unit cells define a curved surface.