Smithsonian Magazine has a fascinating article on a laser physicist and former researcher with NASA's Jet Propulsion Laboratory, Robert Lang, who is
a pioneer in technical and computational origami, which focuses on the mathematics behind the art.
...
As it happens, the science and art of complex folding holds the potential of solving problems in sheet-metal, collapsible structures such as solar panels for space applications, and robotic arm manipulation. In medicine, research is under way to develop new blood-vessel stents that can fold up for insertion into weakened arteries, then expand once in place.
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