A fantastic tidbit that popped up in my facebook feed today:

http://www.kurzweilai.net/how-to-make-almost-any-shape-out-of-a-flat-sheet-of-paper

Mahadevan and his team have characterized a fundamental origami fold, or tessellation, that could be used as a building block to create almost any three-dimensional shape, as seen above (credit: Mahadevan Lab/Harvard SEAS)

This comes partially from Tomohiro Tachi, an origami friend, and one of the top people worldwide working with computational/mathematical origami tessellations and corrugations.

If you look further at his Flickr page you can find beautiful examples of 3D constructs and controlled folding mechanisms. It’s very exciting work!