Fixtures for industrial tooling that may be made by additive manufacturing techniques, and systems and methods for making the same, are described. A fixture for industrial tooling may include a plurality of support columns that defines an intermediate area having at least 10% empty space between a contoured surface and a base structure. The fixtures may be made through a draping method instead of a slicing technique. A fixture for industrial tooling may alternatively be made by applying an extruded layer over a core of foam, balsawood, or other lightweight material, through a non-slicing process.