This paper shows how Lamina Emergent Mechanisms allow useful mechanical structures to be fabricated entirely out of planar materials.
The photos above are from Joseph O. Jacobsen's masters thesis on "Fundamental Components for Lamina Emergent Mechanisms", which is suggest reading for more detailed information.
These mechanisms look to be useful for building structures out of silicon for MEMS devices and for use in robotics by using similar manufacturing techniques that were used to create the indestructible DASH robot. I am sure I can think of something to use this for...
[From: Journal of Mechanisms and Robotics]
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