Micro-truss materials having in-plane material property variations

A micro-truss sheet, including:

• a plurality of first truss members defined by a plurality of first self-propagating polymer waveguides and extending along a first direction;
• a plurality of second truss members defined by a plurality of second self-propagating polymer waveguides and extending along a second direction;
• and
• a plurality of third truss members defined by a plurality of third self-propagating polymer waveguides and extending along a third direction;
• the plurality of first truss members, the plurality of second truss members, and the plurality of third truss members being one continuous body;
• wherein each truss member has a diameter;
• the sheet having a length substantially greater than its thickness, and
• the sheet having a first point and a second point separated along the length of the sheet
• wherein the diameter of a truss member of the plurality of first truss members, the plurality of second truss members, and the plurality of third truss members
• at the first point
• is at least 10% greater than
• the diameter of a truss member of the plurality of first truss members, the plurality of second truss members, and the plurality of third truss members
• at the second point.