These are a couple of videos I uploaded to youtube which show what is probably my favorite bit of knowledge about any geometry I have ever found. It is a property of the jitter-bug/cube-octahedron which was discovered by the great Buckminster Fuller.
These videos both show Buckminster Fuller’s Jitterbug Geometry and how it can have pressure put on two parallel triangles in a way that creates a very cool “bouncing twist motion,” alternating the direction of the twist/spin each time it get squeezed.
This motion-geometry “contains” the geometry for the Cube-octahedron, the icosahedron, the octahedron, the 4 sided pyramid, the tetrahedron, and more. Very impressive in my opinion.
If you want to try this at home and buy the cube-octahedron with bendable vertexes, the same kind which was used in the video and was also designed by Bucky himself, it is $11.95 at [http://bfi.easystorecreator.com/items/toys-models/jitterbug-vector-flexor-402-detail.htm]