Otherlab has been collaborating with MIT and Harvard on a DARPA program called Programmable Matter.  Under this program we have been working on the geometry, algorithms, and manufacture of novel ways to make materials that are re-programmable, repurposable, and blend the boundaries between materials science, computer science, biology and mathematics.  We have focused in particular on the application of space filling curves to this area, and on the challenges of heirarchically programming structure in materials and systems that compute and assemble.  While the long term goals of fully programmatic assembly of complex 3D objects is still a way off, this research has produced new ways of decomposing complex 3D shapes into strings and sheets that can be reassembled into complex 3D shapes.  We are exploring applications in metal-forming, toys, textiles and apparel, packaging, construction and housing, and manufacturing.  We present the results of some of those explorations here.  If you see an overlap with challenges in your industry contact us and we can explore a collaboration.