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Small, 3D, polyhedral structures based on existing 2D microfabrication technology have been fabricated by a novel technique. The method is based on self-folding of a 2D structure into the final 3D form due to the surface tension of solder, which covers the joints. Patterned polyhedra (see Figure) and structures with silicon single crystal chips on each face are accessible.
Gracias et al. (Tue,) studied this question.