Link: http://www.nature...738.html

Movies: http://www.nature...738.html#supplementary-information

Simple geometry of this lattice: http://image.abso....svg.png

A stack of cubes has been replaced by their octahedron duals, resulting in a non-fully-triangulated open areas in between them in the form of corner-truncated cubes called cuboctahedrons which are what Bucky Fuller popularized as the rotationally coordinated collapsible "Jitterbug" toy:
http://3.bp.blogspot.com/_XEdakZFo-OQ/TTUD94MeMZI/AAAAAAAAACM/dEzOAxAn4Mw/s320/Rodin+Fibonacci+Jitterbug+Flow+Chart.png

Lack of full triangulation may render this truss less stiff but more dynamic and so tougher.